The Police

Patrol Car:

Economic

Efficiency in

Acquisition,

Operation, and

Disposition

Law Enforcement

Equipment

Technology

U.S. DEPARTMENT OF

COMMERCE

National Bureau of

Standards
ACKNOWLEDGEMENTS

This report was prepared by the Law Enforcement Standards Laboratory (LESL) of the National Bureau of Standards, under the direction of Jared J. Collard, Acting Manager,

Vehicles Program, and Jacob J. Diamond, Chief of LESL. Appreciation is extended to the many police departments and commercial enterprises that cooperated in this study.
by

Rosalie T. Ruegg

Applied Economics Program

National Engineering Laboratory

National Bureau of Standards

Washington, D.C. 20234

KATIONAL BUREAU

O*- STANDAKOS The UlOHA RY

Patrol Car: TJLf. . Economic ^

Efficiency in u^*?

Acquisition, q^o 5

Operation, and ^

^

Disposition

prepared by

Law Enforcement Standards Laboratory

Center for Consumer Product Technology

National Bureau of Standards

Washington, D.C. 20234

prepared for National Institute of Law Enforcement

and Criminal Justice

Law Enforcement Assistance Administration

U.S. Department of Justice

Washington, D.C. 20531

Issued April 1978 U.S. DEPARTMENT OF COMMERCE, Juanita M. Kreps, Secretary

Dr. Sidney Herman, Under Secretary

Jordan J. Baruch, Assistant Secretary for Science and Technology

NATIONAL BUREAU OF STANDARDS, Ernest Ambler, Director
Library of Congress Cataloging in Publication Data

Ruegg, Rosalie T. The police patrol car. (Law enforcement equipment technology )(NBS special publication ; 480-15)

Supt. of Docs, no.: CI 3.1 0:480-1 5.

1 . Police vehicles—Economic aspects. 2. Police vehicles—Cost

effectiveness. 3. Police vehicles—Cost of operation. I. National

Institute of Law Enforcement and Criminal Justice. II. Law

Enforcement Standards Laboratory. III. Title. IV. Series. V. Series: United States. National Bureau of Standards. Special publica- tion; 480-15. QC100.U57 no. 480-15 [HV7936.V4] 602 .Is 77-13244

[363.2'32]

National Bureau of Standards

Special Publication 480-15

Nat. Bur. Stand. (U.S.), Spec. Publ. 480-15, 135 pages CODEN:XNBSAV

Supersedes NBSIR 75-961

U.S. GOVERNMENT PRINTING OFFICE WASHINGTON: 1978

For sale by the Superintendent of Documents,

U.S. Government Printing Office, Washington, D.C. 20402

Stock No. 003-003-01837-6 Price $3.00

(Add 25 percent additional for other than U.S. mailing)
FOREWORD

The Law Enforcement Standards Laboratory (LESL) of the National Bureau of Standards (NBS) furnishes technical support to the National Institute of Law

Enforcement and Criminal Justice (NILECJ) program to strengthen law enforcement and

criminal justice in the United States. LESL's function is to conduct research that will assist law enforcement and criminal justice agencies in the selection and procurement of quality equipment.

LESL is: (1) Subjecting existing equipment to laboratory testing and evaluation

and (2) conducting research leading to the development of several series of documents,

including national voluntary equipment standards, user guidelines, state-of-the-art surveys and other reports.

This document is a law enforcement equipment report developed by LESL under

the sponsorship of NILECJ. Additional reports as well as other documents are being

issued under the LESL program in the areas of protective equipment, communications

equipment, security systems, weapons, emergency equipment, investigative aids,

vehicles and clothing.

Technical comments and suggestions concerning the subject matter of this report

are invited from all interested parties. Comments should be addressed to the Law

Enforcement Standards Laboratory, National Bureau of Standards, Washington, D.C.

Jacob J. Diamond, Chief

Law Enforcement Standards Laboratory

111
PREFACE

Expenditures for police patrol vehicles exceed those for any other item of equipment purchased by law enforcement agencies. With growing sizes of fleets,

increasing diversity of vehicles for specialist jobs, and an increasing number of options

available for acquiring, maintaining, and disposing of vehicles, the management of police fleets is becoming increasingly complex.

The pohce fleet manager, in his efforts to provide suitable transportation to meet

department requirements, has a multiplicity of objectives: to provide a fleet of the

composition and size necessary to perform department duties; to provide vehicles which

have adequate performance capabilities, meet safety requirements, satisfy officer morale

and comfort criteria, and contribute to the desired public image; and to provide the

vehicles at lowest possible cost. In turn, the manager is confronted with a number of decisions regarding provision

of the fleet. He must, for example, decide what types of vehicles and how many to buy;

what optional equipment is required; what utilization practices to foUow; how to secure

the vehicles; what type of maintenance and repair facilities to have; how much

preventive maintenance to schedule; when to replace a vehicle; and how to dispose of used vehicles.

The alternative courses of action are likely to have unequal efficiencies in terms of resulting costs, but the "best" decision is not always apparent. Information and

techniques are needed which will help the police fleet manager secure an effective fleet

in the most economical way. In the words of one such administrator, "the need for information in this field is great. A study of existing practices and the success of the

various types of operation should be documented so that the police administrator may

make intelligent decisions." Elimination of inefficiencies in police fleet management can

significantly reduce the cost of police services and result in substantial savings of public

funds.

A brief summary of this report, entitled Life Cycle Costing of Police Patrol Cars:

Summary Report, was published as National Bureau of Standards Interagency Report

NBSIR 74-471, in March 1974.

Jacob J. Diamond, Chief

Law Enforcement Standards

' Laboratory

iv
CONTENTS

Page

Foreword iii Preface iv List of Tables vi List of Exhibits viii Executive Summary ix

1. Introduction 1 2. Methodology of Life Cycle Costing 5

2.1. Life Cycle Costing 5

2.2. Break-Even Models 12

3. Cost Analysis of Police Patrol Vehicles 12

3.1. Critical Cost Elements 12

3.2. Cost of Vehicle Acquisition 14

3.2.1. Purchase Price, Resale Value, and Depreciation Cost 14

3.2.2. Cost Saving Practices in Buying and Selling 20

3.2.3. Lease vs. Buy 34

3.3. Operating and Maintenance Costs 54

3.3.1. Operating and Maintenance Costs for Patrol Cars of Different Sizes 54

3.3.2. Operating and Maintenance Costs by Type of Expenditure,

and as a Function of Driving Environment, Usage Rate,

and Mileage 56

3.3.3. Selection of Maintenance Facility: Centralized or Decentralized Organization and Location—Police Shop,

Municipal Garage, or Private Vendor 59

3.4. Cost Effects of Alternative Vehicle-Driver Assignment Plans:

The Personal Car Program 60

3.4.1. Description of the Personal Car Program 61

3.4.2. Vehicle Costs Under the Personal Car Program:

Empirical Evidence 61

3.4.3. A Cost Comparison of a Personal Car Program with a Minimum Fleet/Multishift Car Plan: A Hypothetical

Example 65

3.5. Patrol Car Replacement Decisions 70

3.5.1. Replacement Methodology 71

3.5.2. Replacement of Police Cars: Illustrative Cases 77

3.6. Life Cycle Costs of a Typical Patrol Car 86

4. summary 88

Appendix A. Police Fleet Practices 90

Appendix B. Sample Leasing and Maintenance Agreements 105

Appendix C. References 112

V
LIST OF TABLES

Page

Table 1. Discounting formulas 7

Table 2. Discount factors, 2 percent interest rate 9

Table 3. Discount factors, 10 percent interest rate 10

Table 4. Discount factors, 15 percent interest rate 11

Table 5. Typical 1972-1973 price quotation for a 4-door standard size,

popular model patrol car 14

Table 6. Average 1973 base prices of Ford, Chevrolet, Plymouth, Dodge, and

American Motors' cars, by model 15

Table 7. Estimated 1972-1973 prices ->f different models of policeaccessorized patrol cars 16

Table 8. Estimated resale values and depreciation rates for 2-year old patrol cars recently sold by a few police departments 16

Table 9. Derivation of annual depreciation rates for patrol cars owned by different types of police departments 17

Table 10. Estimated resale values at the end of each year for patrol cars, by model and type of department, over a 4-year period 19

Table 11. Typical 1973 prices of a representative selection of add-on equipment for patrol cars 20

Table 12. Annual cost of patrol car equipment 20

Table 13. Comparative annual ownership costs of standard and intermediate

size patrol cars, by model-line, age, and department type 22

Table 14. "Holding costs" for selected items of car accessories 25

Table 15. Comparison of annual depreciation costs associated with two

approaches to ownership of a more expensive patrol car 26

Table 16. Cost comparison of visi-bar light system with bubble light 27

Table 17. Acquisition cost of purchasing a patrol car compared with leasing it 40

Table 18. Estimation of garage staff requirements and annual labor cost .... 42

Table 19. Estimation of equipment cost 44

Table 20. Estimation of the annual cost of parts 47

Table 21. Estimation of garage building cost 48

Table 22. Estimated annual cost of performing maintenance in-house 50

Table 23. Estimated annual cost of contracting maintenance work 51

Table 24. Operating and maintenance costs by size of police patrol car 54

Table 25. Operating and maintenance costs of private and fleet cars, by

size of car 55

Table 26. Operating and maintenance costs by type of expenditure, over the

life of a sample of State highway patrol cars 56

Table 27. Maintenance cost for a sample of city patrol cars by type of expenditure and mileage interval of occurrence 57

Table 28. The effect of different driving environments and vehicle usage

rates on operating and maintenance costs of the patrol car 58

Table 29. Comparative maintenance cost per mile for vehicles maintained

in a sample of police shops, municipal garages and a commercisd

garage 60

Table 30. Experience of a large city police department with a personal

car program 63

Table 31. Expenditures and receipts for a Personal Car Program (PCP) and

a Multishift Plan (MSP) 67

VI
rage

Table 32. Annual ownership and operating costs of a Personal Car Program (PCP)

and a Multishift Plan (MSP) for a 200-officer department,

under alternative conditions 69

Table 33. Illustration of simple approach to calculation of optimal replacement point: Minimizing the cumulative average cost per year 73

Table 34. Illustration of the use of an annualized cost model to determine

optimal replacement point 73

Table 35. Illustration of the use of a present value model to determine

optimal replacement point 75

Table 36. Maintenance and repair cost as a function of mileage for samples

of patrol cars, by type of department 79

Table 37. Optimal patrol car replacement, based on maintenance and repair

cost for a sample of 29 cities, assuming annual mileage

of 40,000 and a 6 percent quarterly depreciation rate 82

Table 38. Optimal patrol car replacement, based on maintenance and repair cost for a sample of 29 cities, assuming annual mileage

of 40,000 and a depreciation rate of 10 percent per quarter 83

Table 39. Optimal patrol car replacement, based on maintenance and repair cost for a sample of 29 cities, assuming annual mileage

of 40,000 and a depreciation rate of 20 percent per quarter 83

Table 40. Optimal patrol car replacement, based on maintenance and repair cost for a sample of 29 cities, assuming annual mileage

of 80,000 and a depreciation rate of 20 percent per quarter 84

Table 41. Optimal patrol car replacement, based on maintenance and repair

cost for a sample of 29 cities, assuming annual mileage of 20,000 and a depreciation rate of 6 percent per quarter 84

Table 42. Optimal patrol car replacement, based on sample data for maintenance and repair cost from a medium sized city pohce

department, assuming annual mileage of 30,000 and rapid

depreciation 85

Table 43. Optimal patrol car replacement, based on sample data for maintenance

and repair cost from a large sized city police department, assuming

annual mileage of 30,000 and rapid depreciation 85

Table 44. Optimal patrol car replacement, based on sample maintenance and

repair cost from a State highway patrol, assuming annual mileage

of 30,000 and moderate depreciation 85

Table 45. Annual life cycle cost of a typical patrol car operated in 1972-1973 87

1

vu
LIST OF EXHIBiTb

Exhibit 1. Factors influencing fleet requirements and major decisions in

fleet management 3 Exhibit 2. Schematic illustration of alternatives of fleet operations .... 4 Exhibit 3. Critical cost elements to be considered in a life cycle cost

analysis of poUce patrol cars t Exhibit 4. Fixed and variable vehicle costs 13

Exhibit 5. The pattern of resale values for a bottom-of-the-line, standard

size car in private use 31

Exhibit 6. OveraU level of used car prices, seasonally adjusted, 1967

to 1973 31

Exhibit 7. In-house vs. contracting-out maintenance: The breakeven point 52

Exhibit 8. The optimal replacement point 71

Exhibit 9. An illustration of the replacement calculation when the

replacement vehicle differs from the existing vehicle 76

Exhibit 10. Cumulative maintenance and repair cost as a function of mileage for patrol cars of a medium size city 80

Exhibit 11. Cumulative maintenance and repair cost as a function of mileage for patrol cars of a large city 80

Exhibit 12. Cumulative maintenance and repair cost as a function of mileage for patrol cars of a State highway patrol department 81

Exhibit 13. Average cumulative maintenance cost as a function of mileage

for patrol cars of different make and model 82

Exhibit 14. Expenditures and receipts for a typical patrol car: Cash

flow diagram 87

Exhibit 15. Composition of patrol car costs, direct cost only 88

viii
EXECUTIVE SUMMARY^

There are many different choices to be made with respect to police vehicle

acquisition, utilization,, maintenance, and disposition. Cost comparison among the

different alternatives is an important element in the choices to be made. To make valid cost comparisons, it is necessary to employ the techniques of life cycle costing. This means the inclusion of first and end costs, and operation and maintenance costs, as well as the conversion of costs to an equivalent basis to take into account differences in the

timing of expenditures.

This report uses life cycle costing techniques to examine the costs of some of the

alternative approaches to patrol car acquisition, operation, maintenance, and

disposition. Although the great variability among departments makes it inadvisable to think in terms of uniform fleet management rules, the findings of this study are expressed as general guidelines where appropriate. The analytical methods used in the

cost comparisons are described, illustrated, and recommended as useful decision tools for fleet managers. In addition, a descriptive overview of existing police fleet practices

is provided in a number of tables on fleet composition, patrol car selection and

accessorization, car utilization practices, maintenance, and replacement pohcy.

Specific questions addressed by the study are the following:

(1) What are the cost effects of purchasing different sizes of patrol cars and

different optional equipment?

(2) What are the advantages and disadvantages of direct ownership of vehicles as compared with leasing vehicles?

(3) How do the costs of contracting-out maintenance compare with the costs of an

in-house shop?

(4) What are the effects of alternative utilization practices on fleet costs?

(5) How often should vehicles be replaced?

(6) What method of vehicle disposition is most efficient? The focus of the study is on patrol cars, by far the predominant kind of vehicle in most police fleets. The methods and techniques are, however, applicable to other types

of vehicles.

Information for the study was obtained through interviews and correspondence

with State, city, and county police fleet supervisors; interviews and correspondence with

managers of commercial fleets, automobile manufacturers, dealers, leasing businesses,

and auto auction specialists; review and analysis of internal records, manuals, reports,

data banks and surveys of police departments and other organizations; review of published literature; and attendance at meetings dealing with fleet management.

Following is a brief summary of the major topics treated in the report, together

with the principal findings:

LIFE CYCLE COSTING METHODOLOGY AND POLICE FLEET MANAGEMENT

A chapter on life cycle costing methodology explains the techniques used to compare the costs of alternative systems. A life cycle costing (LCC) approach to fleet management examines efficiency over the life of the police transportation system, rather

Supersedes Life Cycle Costing cf Police Patrol Cars : Summary Report , Rosalie T. Ruegg, National Bureau of Standards Interagency Report. NBSIR 74^71, March 1974.

ix
than focusing on only one area of cost, such as initial expenditure. The study discusses

the following procedures, which are essential to performing life cycle costing:

(1) Specification of the desired objective or gocd; e.g., the objective might be to secure police warning light systems with certain performance characteristics.

(2) Identification of the alternative means or systems by which the objective may

be accomplished; e.g., to lease model A lights on a 5-year full-maintenance lease or to buy model A or model B lights.

(3) Identification of all relevant cash flows, and their expected timing, associated

with each alternative.

(4) Conversion of the cash flow for each alternative to an equivalent base by means of discount factors, to reflect the opportunity cost of money.

(5) Summation of discounted costs for each edternative.

(6) Comparison of life cycle costs of alternatives, and selection of the alternative

with the least life cycle cost. Because costs of alternative systems may differ both in amount and in time of occurrence, a comparison of discounted costs over the lives of systems may differ markedly from the comparison of the undiscounted sums of present and future

expenditures. For example, a comparison of the cost of two warning light systems—an aluminum bar with two rotating lights at each end and a roof-mounted light with four

rotating bulbs—comparable in their level of conspicuity, showed the following: Although

the bar light had a higher purchase price, the model examined was less expensive than

the bubble light over the lives of the systems.

The analyses of police fleet problems performed in the study show that LCC

techniques can be profitably applied to many different kinds of problems which

regularly confront the fleet manager. By providing a more complete understanding of the

cost effects of alternative decisions, LCC can improve efficiency.

Contacts with a number of police departments showed, however, that many do not keep cost records adequate for good management control. In order to assess the effects

of alternative fleet decisions, up-to-date cost information is necessary. In developing a good cost accounting system, departments may find helpful the guides, programs, and

cost control systems for fleet management which are currently offered by both

commercial and public organizations. In addition to the problem of inadequate cost records, many departments appear

to have accounting systems which result in disincentives to efficient management.

Failure to charge or credit appropriate cost centers may cause managers to neglect

certain costs in their decisions. For example, it may be more profitable for departments

which receive no direct credit from their used vehicles to cannibalize them for parts

retrieval, rather than to sell them at the optimal time or transfer them for use by other

departments of government, even if the latter means of disposition are more cost

effective for the local government at large. A proper charge-back system can provide

efficiency incentives.

COST-SAVING PRACTICES IN BUYING AND SELLING

The study investigates managerial practices for reducing vehicle depreciation

costs. Specific practices which are considered include procurement; model selection;

length of ownership; selection of accessories, color, and equipment; reconditioning;

timing of resale; and method of car disposal.

Procurement

A brief examination of specification preparation and bid acceptance by police

departments leads to the following conclusions:

(1) Although it is not always economical to accept the lowest bid, many

x
departments continue the practice, believing that they have no alternative or that

justification for departing from low bid is too difficult. It was found, however, that procurement regulations are often written to allow exceptions to low bid acceptance.

Justification for refusing low bids on the basis of projected higher eventual costs in depreciation, operation, and maintenance is usually difficult. Departments appear more

successful in rejecting low bids on the basis of higher cost of parts, cost of changing

inventory, cost of additional maintenance equipment, and cost of retraining mechanics,

cost differences which are easier to document than the former.

(2) Cost may be reduced by avoiding unusual and unnecessary features in the

specifications, by taking advantage of research and test results and illustrative specifications available from other departments, and possibly, by joining in group buying

efforts. Although most of the major car manufacturers no longer offer quantity discounts

to fleets, special services, delivery priority, or reduction in the de2Jer's profit margin

may be attained by submission of specifications jointly with other departments. Care

should be taken, however, to avoid a pitfall common to group buying: the acceptance of an unsuitable vehicle.

Model Selection, Length of Ownership, Accessorizing, and Color

Based on representative purchase prices, resale values, and associated patrol car

depreciation, the following conclusions are reached regarding practices for reducing

depreciation:

(1) Depreciation cost on patrol cars can usually be reduced by choosing less expensive, smaller cars (provided they can be effectively used). Typical annual cost savings^ of about $140 can be achieved by a medium-size city department, by moving

from the standard, top-of-the-line model to the standard, middle-of-the-line model, and

about $160 more can be saved by moving from the middle to the standard, bottom-ofthe-line model. A total annual cost reduction in depreciation of $300 is therefore

possible by moving from the standard, top-of-the-line to the standard, bottom-of-the-line

model. The potential savings in depreciation is even larger by moving from standard to intermediate automobiles: A standard, middle-of-the-line car operated for 1 to 2 years by

a medium-size city department was found to cost from $500 to $600 more annually in depreciation than intermediate, middle-of-the-line models.

(2) The heavier the utilization (or the poorer the condition of the cars at time of replacement), the greater the savings in depreciation by buying bottom-of-the-line cars. The cost impact of harder utilization and poorer car condition may be seen by

comparing the relatively higher depreciation typical of city-owned patrol cars with that

typical of State patrol cars of similar model.

(3) Extending the period of ownership reduces average annual depreciation. For

example, for a standard, middle-of-the-line patrol car operated by a State highway patrol

department, extending the ownership period from 1 to 2 years typically decreases annual

depreciation by nearly $400. Increasing the period from 2 to 3 years decreases annual

depreciation by another $300. (The relationship between depreciation and running costs over time is discussed below under Replacement of Patrol Cars.)

(4) Purchase of expensive, luxury-model patrol cars genercdly cannot be justified in terms of costs alone, although it may be justifiable for other reasons, such as performance, officer morale, or appearance. If a luxury model is selected, suitable

accessories, good condition, and early replacement are necessary to preserve the car's resale value, but extensive accessorizing and early replacement to preserve resale value

nevertheless are not generally cost effective.

(5) Empirical data suggest that depreciation cost may be reduced by the selection

of "non-patrol car" colors and color diversification within the fleet. In other words.

2These figures are based on 1972-1973 model year prices.

xi
standard black and white vehicles have a lower resale or trade-in value than the more

popular colors.

(6) Considering cost only, luxury accessories on patrol cars are seldom worthwhile,

particularly in the case of bottom-of-the-line cars or those sold after several years' usage

with high mileage and/or in poor condition.

(7) If middle or top-of-the-line cars are purchased and early rescde is planned,

inclusion of luxury accessories and elimination of the austere poUce car appearance will usually be desirable from the standpoint of cost.

Reconditioning, Timing of Resale, and Method of Disposition

An examination of practices surrounding patrol car disposal results in the following

conclusions:

(1) Selective reconditioning appears to be efficient, with an average expenditure of approximately 10 percent of the estimated value of the car as a reasonable rule-of- thumb. This percentage may be increased somewhat for cars with greater potential consumer appeal.

(2) Normally, it is most efficient to purchase and dispose of cars early in the

model year. However, depreciation costs tend to level off between late spring and late summer, rising sharply again thereafter. In consequence, purchase and disposal delayed

until spring can be further deferred without significant penalty.

(3) If enough cars in relatively good condition are available for frequent sales,

retail methods of disposal—such as a police auction—if administratively feasible, will likely be cost effective.

(4) If cars are in poor condition, or if a good local market does not exist, wholesale

disposal (such as consignment to an auto auction, or sale to used car dealers or

wholesalers), is relatively quick and avoids costly storage and built-in depreciation.

(5) Given an equitable cost accountability system, the transfer or sale of cars to other departments of government where there is less need for high performance vehicles

may be beneficial to police departments (as well as the local government) by reducing

annual depreciation cost.

(6) Although net trade-in prices are usually low, trade-in may appeal to departments without attractive alternatives, possibly providing advantages of preferential

service, convenient and timely disposal, and low disposal cost. Care must be taken to determine the true net cost of the new car/trade-in bid, since high trade-in allowances

often mask high new car prices.

VEHICLE LEASING AND CONTRACT MAINTENANCE COMPARED WITH

OWNERSHIP AND SELF-MAINTENANCE

In connection with vehicle acquisition, the study looks both at ownership and

leasing. The types of leases are described and the relative merits of the different types

of leases are discussed from the standpoint of police fleets. There are three basic types of lease agreements:

1. the finance lease,

2. the net lease,

3. the maintenance lease. The finance lease provides vehicles, but makes no provision for maintenance and

operating services. The lessee controls and pays for all maintenance and operating costs and reimburses the lessor for any resale loss (or receives any resale gain) when the

vehicle is turned back to the lessor for disposition. The net lease, like the finance lease,

makes no provision for maintenance or operating expenses, but unlike it, is closed-end,

with no financial adjustment for variation in actued depreciation. The maintenance lease

Xll
includes provision for some maintenance by the lessor, the amount ranging from very

limited to comprehensive.

It was found that, while the finance lease is the most prevalent form of lease used

by private fleets, the maintenance lease is favored by many police departments. Chief

reasons for preference for the maintenance lease were that: (1) It offers small and

moderate size departments a possible reduction in service costs due to economies of scale achieved by the lessor; and, (2) it offers departments of all sizes a possible escape

from existing poor maintenance arrangements.

The claim is often made that leasing is not a viable alternative for police fleets. However, the experience of police departments with leasing suggests that such claims

are not valid. Examples of actual lease arrangements were found whereby departments

avoid or reduce potential problems and achieve considerable control, flexibility, and

dependability with leased fleets. No impediments to police fleet leasing were discovered

which by nature appear insurmountable.

After consideration of lease arrangements and police experience with leasing, the

costs of leasing and buying are compared. Two basic questions are addressed: Is it economical to secure use of patrol cars through a lease and, is it economical to secure maintenance through a lease or other contract arrangement with outside parties? The

cost comparisons lead to the following general conclusions:

(1) Without the tax advantage that private firms enjoy, there appears to be no

general cost advantage to police departments from leasing vehicles for fuU-time use on a finance lease, i.e., of securing only the use of the car without provision of maintenance.

A cost comparison of finance leasing with buying a car suitable for patrol work indicates a substantially larger cash outlay for leasing than for buying. But, the more relevant

comparison of discounted cash flow shows that the estimated present value of leasing is not considerably more than purchase. Special motives, such as the implementation of a more regular and frequent replacement policy or the freeing of funds for alternative

purposes having a higher expected rate of return may nevertheless influence some

departments to consider financing of vehicle acquisition through leasing.

(2) There is a critical level of utilization, i.e., rate of use per time period, below

which short-term rental of a vehicle becomes cheaper than purchase. This critical level

of utilization is indicated by the ratio of the annual cost of vehicle ownership to the

annual cost of full-time renting (at short-term rates). For example, if ownership costs are estimated at $3,000 per year and the rental cost (at short-term rates) for 1 year at $4,000, then it is cheaper to buy the vehicle if it is to be used more than 75 percent of the time; otherwise, rental is cheaper.

The report compares costs of providing maintenance through an in-house police

garage with costs of contracting maintenance to private garages, and estimates the

breakeven point—that fleet size/mileage at which the alternatives are equal in cost. Based on the estimated cost data, and assuming a police shop wage rate of $8 per hour

and an outside charge of $12 per hour, the breakeven point comes at approximately 90

vehicles/3,150,000 fleet miles (5.1 million km), at a cost of about $200,000. With smaller

fleets/lower mileage, contracting maintenance appears to be cheaper; with larger fleets,

self-maintenance appears cheaper.

To test the sensitivity of the analysis to the specific cost assumptions, the

breakeven point is recomputed for alternative wage rate differentials and equipment and

building expenditures. For a police labor rate of $5 per hour and a private garage rate of $15 per hour, only at fleet sizes as small as about 10 or fewer vehicles is contracting out more economical than self-maintenance. Of course, a relative change in labor rates in the opposite direction can be expected to have an opposite effect, pointing up the need

to make comparisons based on actual inputs encountered in a given situation.

xiii
The analysis indicates the following:

(1) Even if wage rates in police shops are substantially below labor rates for commercial garages (say, $5 per hour compared with $15 per hour), contracting

maintenance appears the more efficient policy for fleets of 15 cars or less.

(2) If there is little wage differential between police shops and commercial

garages, contracting maintenance appears cheaper than self-maintenance even for fleets as large as about 100 cars.

(3) Even for very large fleets, contract maintenance may offer an efficient short- term solution to existing arrangements which provide poor service.

(4) Due to possible reductions in in-house administrative cost, a full-maintenance

lease (offering both finance and service) may be an efficient means of contracting-out

maintenance, even though the finance aspect of the lease by itself offers no particular

advantage.

OPERATING AND MAINTENANCE COSTS

The study discusses operating and maintenance costs for patrol cars, presents

empirical data for cars of different sizes and for cars used at different rates and driven

in different environments, and discusses ways of cost reduction.

Based on a sample of more than 1,000 patrol cars operating in 29 cities, the study

concludes that selecting smaller cars for patrol work offers savings in fuel costs, but

may not offer the savings in maintenance costs usually obtained by use of smaller cars

for other purposes. In fact, the sample data showed a small rise in maintenance cost as car size decreased. Nevertheless, overall running costs of smaUer-than-standard cars in the sample were less than running costs of standard and larger cars. The findings

suggest that standard and larger cars may not cost significantly more to run for patrol

purposes than smaller cars, but additional study is needed to validate these

comparisons.^ However, even with little difference in running costs, the savings in depreciation costs of a smaUer-than-standard car typically make it the efficient choice,

given that it can be used effectively.

Sample data show that congested traffic conditions lower gasoline mileage

significantly, and raise maintenance cost by about 2.0^ per mile (1.2^/km) (see table 28). On this basis, we would estimate significant potential savings from decreasing the

frequency of stops and starts and reducing the idling of the motor.

Life-time operating and maintenance costs for a sample of State highway patrol cars show gasoline and oil costs accounting for a little more than half of the total $3,660

per car in average running costs, and maintenance cost a little less than half the total.* Data for a sample of city patrol cars show that maintenance costs exceed gasoline and

oil costs. A breakdown of the type and cost of maintenance and the mileage interval of occurrence for sample city patrol cars shows an increase in maintenance cost per mile

as mileage accumulates, rising from an average of 2.5<S per mile for new cars in the

sample to 4.6^ per mile (1.5^/km) for cars with more than 60,000 miles (96,000 km). The

data indicate the expenditures incurred for the various mechanical components, and at what mileage particular kinds of problems arise. For example, during the first 10,000

miles (16,000 km) of operation, repairs to the ignition and lighting systems are the

largest single cost for mechanical components and by 20,000 miles (32,000 km), brakes

begin to account for an important share of cost; at 50,000 miles (80,000 km) transmission

work becomes large, and at 60,000 miles (96,000 km) the power train system is expensive to maintain.

'Note lhat the empincal dala u».-d in ih.- analv.i. predate thf -ub.lanlial ri..- in ga.olin^ prir.-., which would likely inrrea.e ihe advantage of the emaller car Again, the reader i« reminded thai the dala do not reflect the recent large rise in gasoline prices

XIV
Practices reported by police departments for reducing fuel cost included

specification of octane requirements among vehicle types, and elimination of the need

for and availability of higher octane gasoline whenever possible.

The study also discusses the organization and location of maintenance facilities,

i.e., centralized vs. decentralized facilities, police shop, municipal garage, or private

vendor, and presents cost data for samples of departments with different types of

facilities, adjusted for differences in average wage rates. On the basis of sample data

and a priori reasoning, it was concluded that, other things being equal, the possibility of economies of scale and consideration of transportation costs to and from the facility,

support the municipal garage for small, centrally located fleets, and either a system of decentralized municipal shops or contractual arrangements with scattered private

vendors for small dispersed fleets. For larger fleets, the organizational structure of the

maintenance facility—police, municipal, or privately operated-ns probably less important

from the standpoint of costs alone.

COST ANALYSIS OF THE PERSONAL CAR PROGRAM

The report describes the nature and possible benefits of a personal car program

whereby each officer is assigned a car to be used for his or her personal, off-duty use,

as well as for regular duty. Empirical cost data from existing personal car programs are presented and discussed. Capitalization and running expenses of a fuU personal car program are compared to costs of a minimum fleet/multishift plan, in which cars are assigned to a vehicle pool.

The primary benefits claimed for the program are reductions in crime and in accidents, increased criminal apprehension, and greater citizen security. Other

attributed advantages, such as higher officer morale, safety, and improved public image

of the police, pertain to internal department operations. Cost reduction is also sometimes cited as an advantage of the program.

Empirical information provided strong evidence, but not conclusive proof, that running costs of personal cars are less than for multishift pool cars, but there is also some evidence that the costs are not substantially different. Better care of the personal

cars, stemming from increased officer accountability, responsibility, and pride in the

cars, provides some rationale for possibly lower running costs of personal cars. Costs of a personal car program are compared with costs of a multishift plan for a hypothetical department with 200 officers. Given the particular assumptions regarding

cash flow patterns, per-mile running costs, off-duty mileage, and depreciation rates, the

following observations were made:

(1) The costs of the two plans are about equal if personal cars are used off-duty

sparingly, are replaced every 3 years (as compared with annual replacement for pool

cars), maintain their annual resale value about as well as private cars, and incur running

costs less than half as much as the pool cars.

(2) The personal car program costs much more than a multishift plan—about

double in the case examined—if personal cars are used extensively off-duty, are consequently replaced every 2 years instead of 3, and if they incur about the same per

mile operation cost as multishift cars.

(3) Under each set of assumptions a very large reduction in running costs is required to equalize costs of the programs.

Empirical evidence that casts doubt on a large reduction in running costs for personal

cars, suggests that most personal car programs will probably cost substantially more

than multishift plans. The program therefore will usually not be justifiable in terms of

fleet cost alone. However, the value of benefits from the personal car program may

exceed associated costs; hence the program may be justifiable in terms of increased net

benefits.

XV
REPLACEMENT OF PATROL CARS

The investigation of replacement decisions revealed at the outset that, due to substantial variation in costs among vehicles and departments, it is not advisable to think in terms of a uniform economic replacement time for patrol cars. A sounder

approach is for individual departments to determine their optimal replacement policy in

light of their particular cost experience.

The purpose of the study, therefore, is not to define the economic life of patrol cars in general, but rather to describe and to illustrate with poUce fleet data the

techniques for determining optimal replacement. Certain of the observed relationships

between fleet characteristics and economic life can, however, be expressed as general

guidelines for the development of policy within individual departments.

The concept of economic life and the development of replacement models is based

on the fact that incremental running cost tends to increase with mileage and age, and

incremental depreciation cost tends to decline with age of the vehicle, such that there is a point at which combined running expense and depreciation are a minimum per unit of time/mileage. Techniques for identifying the replacement time which minimizes the

uniform annual cost, or present value, of long-run fleet costs were found suitable for application to police fleets. For practicality and efficiency, departments generally need a dual approach to replacement decisions. For the purpose of budgeting and for control, it is usefid to predict the average economic lives of the various types of vehicles, based on past costs and resale values. Predicting average life wUl indicate the approximate number of replacements which will be required over the coming period. A second decision

approach is needed for replacing individual vehicles, which may differ substantially in their costs, within their group. Where review on an individual vehicle basis is infeasible,

the former approach will allow the manager to set a more informed general replacement

rule. The use of police cost data in a replacement model produces a variety of replacement schedules, ranging from replacement in the first year to no replacement

until necessitated by safety, performance, and other factors. Results are quite sensitive

to the rate of car utilization, the rate of depreciation, and the pattern of maintenance

costs. The following generalizations are made on the basis of case examples:

(1) The faster the rate of depreciation at the outset, the greater the advantage of retaining vehicles longer.

(2) The lower the rate of utilization, the greater the advantage of retaining vehicles

longer.

(3) Maintenance and repair costs must increase fairly sharply with age and mileage

for declining depreciation per unit time to be offset.

(4) DecUning performance and reduced reliability are vital factors in determining

replacements if cars depreciate rapidly at the outset or have costs which do not escalate

significantly with increased use. Thus, a very rough rule is to replace relatively early (perhaps in the first year of operation) those vehicles which depreciate slowly (i.e., whose rescde values are weU

maintained), are used moderately to heavily, and whose running costs per mile are rising over time. But for cars which depreciate rapidly, are used at low rates, or whose

running costs per mile do not escalate significantly with increased use, costs may be

reduced by keeping them as long as safety and performance criteria permit.

TYPICAL COSTS

An examination of sample data shows that the cost in 1972-73 of owning and

operating a standard size, middle-of-the-line patrol car might typically exceed $4,000 on

a uniform annual cost basis. Depreciation appears the largest single part of total direct

xvi
costs, with maintenance, repair, tires, gas, and oil together accounting for a comparable

part. In closing, the report reminds the reader that there are considerable opportunities

for cost reductions in poHce fleet management, many of which are examined in the

report.

xvii

THE POLICE PATROL CAR: ECONOMIC EFFICIENCY

IN VEHICLE ACQUISITION, OPERATION AND DISPOSITION

Rosalie T. Ruegg

Institute for Applied Technology , National Rureau of Standards , Washington , D.C. 20234

This study uses the techniques of life cycle costing to analyze some of the decision problems

of police fleet management. It addresses the following questions: (1) What are the cost effects of purchasing different sizes of patrol cars and different optional equipment?, (2) What are the advantages and disadvantages of direct ownership of vehicles as compared with leasing

vehicles?, (3) How do the costs of contracting out maintenance compare vnxh costs of an in- house shop?, (4) What are the effects of alternative utilization practices on fleet costs?, (5) How

often should vehicles be replaced?, (6) What method of vehicle disposition is most efficient? The techniques used to compare costs of alternative systems are described in a chapter on life cycle costing methodology. Cost estimates and empirical data are presented in the many tables, exhibits, and charts which support the study. Existing fleet practices are described. Findings of the study are expressed as general guidelines for fleet management. The focus of the study is on police patrol cars, but the methods are applicable to other kinds of vehicles. Key words: Fleet management; life cycle costing; patrol cars; police fleets; veliicle leasing; vehicle management.

1. INTRODUCTION

The purpose of this report is to compare the costs of some alternative approaches

to fleet acquisition, operation, maintenance, and disposition, using life cycle costing

techniques to make the comparisons. Where appropriate, the findings of the cost comparisons are expressed as general guidelines for fleet management. In addition, the

report describes and illustrates methods that can be used to treat a host of other

decision problems related to provision of police transportation. It also provides an

overview of existing fleet practices. The broad objective of the report is to provide the

police fleet manager with information which will assist him in efficiently managing the

fleet. The focus of the study is on the patrol car, by far the predominant kind of vehicle

in most police fleets. Since a number of models and makes of different size and

performance capability are, in fact, used for patrol purposes, the study implicitly deals

with several categories of patrol cars, rather than a single type of car. In addition, the

empirical sections contain some cost data related to other types of vehicles, such as administrative and undercover cars, motorcycles and scooters, and vans and wagons.

The methods and techniques which are applied in the study to the patrol car, are also appUcable to the other types of vehicles.

A life cycle costing approach is taken because it looks for efficiency over the life of the police transportation system. This approach avoids the common decision-making

pitfall of preoccupation with initial cost, to the relative neglect of the stream of operating, maintenance, and repair costs and the eventual return from resale. A life cycle costing approach also facilitates analysis of the cost effects achieved by altering

elements in the system, such as the size of the vehicle or the length of operational life. With a short-sighted approach to fleet management, attempts to reduce expenses in one

phase of fleet provision may lead to cost increases in other areas. For example, a

vehicle with a lower initial purchase price may experience a larger net depreciation than

a vehicle with a higher purchase price. Keeping vehicles longer may reduce average

annual depreciation, but this reduction may be more than offset by rising annual

1
maintenance and repair cost and disruption of police service resulting from increased

breakdown. All costs are important from the standpoint of efficiency.

The emphasis is on costs, rather than other attributes of alternative fleet systems

and practices. Although noncost advantages and disadvantages are assessed for some of the alternatives, no full attempt is made to measure and compare benefits of the

alternatives. Since alternative systems and practices will likely yield unequal benefits,

differences in their total costs do not conclusively demonstrate relative merit. It is left to the decision maker to evaluate the costs of alternatives in light of performance, safety,

comfort, appearance, and other criteria, and to base his choice on his own priority of objectives. For instance, a finding that one size of car is "X" dollars cheaper over its

life than another by no means implies that all poUce departments should have that car. Rather, it provides the fleet manager with information regarding the cost effects of the

decision. He must decide whether other considerations outweigh costs. The difficulty of empirically isolating and evaluating cost effects of alternative fleet systems is the chief limitation and shortcoming of this report. The diversity of accounting procedures and data banks—or lack thereof—hampered construction of compatible data samples for test purposes, but even more of a problem were the

multiple variables affecting the data. Police departments operate in diverse environmental and operating conditions,

hence it was sometimes difficult to know what dollar cost to assign to a given

alternative. For example, large metropolitan departments have considerable in-city

driving, operate in a relatively small area, and may face stringent budgetary constraints; State Highway Police have a high proportion of high-speed nonstop driving, and are

likely to have greater financial leeway; small, rural departments may operate few cars and have little opportunity to utilize sophisticated management techniques.

Furthermore, a department may not have control over its fleet decisions, perhaps due to past commitments or preemption by higher bodies of government. Rules apphcable to one department may not be suitable for all. Each cost comparison could have been a lengthy study unto itself. For these reasons, guidelines have been couched in terms of particular fleet circumstances or characteristics. In addition to those problems addressed herein, there remain a host of other

decision problems in fleet management. Specifically excluded from the scope of this research at the outset were two problems which are crucial from the standpoint of fleet effectiveness, namely (1) determination of the optimal mix of vehicles, and

(2) deployment of the vehicles in the most effective way. The effectiveness of a police

transportation system depends upon successful resolution of these problems, just as the

efficiency of the operation depends upon correct decisions regarding purchase,

maintenance, and disposition. These problem areas have been researched elsewhere,

but remain fertile ground for additional analysis.

'

Another area requiring more extensive investigation is the subject of preventive

maintenance. Additional research and experimentation is needed to develop cause-effect

relationships between vehicle breakdown and resulting downtime, and various pohce car

preventive maintenance schedules.

In addition, broader data bases are needed to establish more firmly the

relationship between rates and types of utilization and corresponding maintenance and

repair costs. In fact, as automotive technology and design change, continual update is necessary to detect changes in the relationship.

It would also be desirable to explore further the personal car program, to assess its benefits. The emphasis here is on cost effects.

Sec for example, Jan M. Chaiken & Richard C. Larson, Methods for Allocaling Urban Emergency Units. NTIS Report No. PB-208S49, New

York City: The Rand Institute. May 1971.

2
Several efforts related to this one are presently underway to extend the state-of- the-art of fleet management. The American Public Works Association, Research

Foundation, is conducting a comprehensive 2-year program to improve fleet operations

of local. State, and provincial governments. Agencies accepted as participants in the

program are offered advisory service, an optional cost management system, newsletters

and special reports. Four manuals, dealing with maintenance reporting, equipment

acquisition, utilization, and replacement, preventive maintenance scheduling, and parts

inventory and warehouse control, are to be forthcoming from this program.^ The

California State Highway Patrol is currently engaged in a study of the relationship

between patrol car mileage and operating, maintenance, repair cost and depreciation.

The resultant report should shed further light on optimal replacement policy.^ Interested

readers should be alert for these and other related studies in fleet management.

For background, exhibits 1 and 2 illustrate the major decisions in police fleet management. Exhibit 1 lists the factors which determine the demand for transportation

The American Public Works Associalion, Research Foundalion. 1313 East 60lh Slreel, Chicago, 111. 50637. ^Bob Rutherford, Manager, Fleet Information System, California State Highway Patrol, 2812 Mcadowview Road. Sacramento, Calif. 9S832, telephone interview. June 1973.

Exhibit 1. Factors influencing fleet requirements and major

decisions in fleet management

Objective of Fleet Management

Provision of transportation service to meet department requirements

at least cost. Demand Factors

Police functions Department size Size and environmental characteristics of the area served Budget and other constraints

Fleet deployment policy Target fleet performance levels Safety Morale (vehicle appearance and comfort)

Reliability and availability Functional performance (size, speed, handling)

Fleet Decisions Vehicle management program

Delegation of responsibilities Methods of systems control Vehicle selection Type vehicle Make

Model

Color

Accessorizing

Vehicle utilization factors Number of shifts (or mileage) Per day driver assignment

Number of vehicles For regular use For backup pool To buy or lease vehicles and related equipment

Maintenance program

Nature of facility Preventive maintenance schedule Replacement cycle

Method of vehicle disposal

3
•The use of a modified decision tree format does not imply consideration of risk in the analysis. To avoid repetition, only one branch at each decision

point is developed when the branches would have been duplicates.

service by a police department (i.e., what), and then the major decisions which must be

made to provide the transportation service (i.e., how). (There is no attempt here to show

the sequence of decisions nor their interrelationships.)

The broad objective of all police fleet managers is largely the same; to provide

transportation service to meet the department's requirements, in light of budgetary and

other constraints, such as traditional practices, environmental conditions, personalities,

and other factors dependent on local conditions. This broad objective might be amended

to specify that fleet provision be cost-effective. Variations among departments are then

revealed not so much in aim, but in method, that is, how the service is provided.

Making fleet decisions involves choices among alternatives for a number of subordinate operations or fleet subsystems. Many configurations of these subsystems are

possible: Exhibit 2 depicts a modified decision tree to illustrate some of the alternative

ways to operate a fleet.* A department might, for example, adopt utiUzation policy "C,"

calling for the use of the cars on a 3 shift/day basis, car rotation among officers, and a

10 percent backup pool. After determining the number of vehicles needed, the

department may choose to purchase them, rather than leasing under one of the several

alternative plans available. It may then decide to maintain and repair its vehicles in a

police shop, rather than to utUize a central garage or private garage; it may carry out a comprehensive preventive maintenance (PM) program, rather than wait for failures to occur, it may replace cars at 60,000 miles (96,000 km), instead of 40,000 or 80,000

(64,000 or 129,000 km), or any other possible replacement time. Lastly, the department

may sell used cars at retail auction, rather than trade them in, or wholesale them to used car dealers.

The order of decisions shown in exhibit 2 has the semblance of sequential order,

but the decision process is interwoven and much more complex than illustrated. The

problem of determining the economically optimal fleet arrangement requires, in theory, a simultaneous solution. We can see the joint nature of decisions from the following

illustrative interrelationships. A higher utilization rate implies the need for a smaller

total number of cars, but a larger backup fleet relative to the number of cars in regular

use. Decisions regarding the utilization and maintenance of vehicles will influence the

optimal time of replacement. Reliability and availability goals can be achieved in any of

a number of ways: By increasing the size of the fleet to provide more backup vehicles or lower utilization rates; by instituting a more effective preventive maintenance program

to replace unscheduled maintenance with scheduled; by selecting vehicles less subject

to breakdown; or by reducing the length of the replacement cycle to keep the fleet

4The reader is reminded that this study is not intended as a comprehensive investigation into all possible decisions which confront the fleet manager. Exhibits 1 and 2 show .•najor decisions which are addressed by this study. 4
newer. The kind of vehicle, its accessories and condition (which reflects utiHzation

rates, driver assignment, maintenance program, and replacement cycle), will influence

the optimal method of disposing of the vehicle.

It is the purpose of this study to investigate the cost effects of making the choices

in police fleet operation which have been set forth. However, in order to perform the

cost analysis, it has been necessary to simplify, thereby not fuUy accounting for the

above interactions.

2. METHODOLOGY OF LIFE CYCLE COSTING

Analytical methods can be applied to the host of problems of choice which

confront the fleet manager. A brief description of methods follows, for the purpose of providing further explanation of the methodology used in this study and additional

information to the interested police fleet manager who may wish to apply these methods

to problems not dealt with directly in this study.

The reader is reminded that this chapter may be passed over without loss of continuity and understanding of succeeding chapters, although attention to the methodology is probably worthwhile. The material is not exceedingly technical, is presented in simplified form, and should cause little difficulty for the reader unfamiliar

with these methods.

2.1. Life Cycle Costing

Life cycle costing (LCC) is one of a number of analytic approaches to problems of choice.^ It is a tool useful in choosing among alternative systems of durable capital

goods.* In short, the approach calls for identification and calculation of all relevant costs associated with each alternative system over its entire operational life, conversion of costs to equivalency, and summing for purposes of comparison. In the case of vehicle

fleet management, life cycle costing of alternative systems of vehicle operation should

take into account cost of acquisition, maintenance, operation, depreciation, and

disposition, as well as managerial and other relevant costs. A more in-depth discussion

of the concept as applied to law enforcement fleet management follows. Life Cycle Costing (LCC) analysis includes the following steps:

(1) Specification of the objective to be achieved and any constraints.

(2) Identification of the possible alternative systems which can accomplish the desired objective, given the constraints.

(3) Determination of all relevant cash flows and the expected timing of the cash

flows for each alternative, at current prices; where quantification of costs is not feasible,

notation of the qualitative effects.

(4) Conversion of the cash flow for each system to an equivalent base (discounting

of costs).

(5) Summation of all discounted costs.

(6) Comparison of quantitative and qualitative costs of alternatives in light of constraints, and selection of the preferred system.

Let us now consider in greater detail each of these tasks in the context of LCC of police vehicles:

Specification of Objective and Constraints

There are any number of specific objectives, in addition to the broad objective of providing transportation service to a law enforcement group. For example, an objective

Cost-benefit analysis, cost-effectiveness analysis, and various forins of cost models are all examples of methods for making systematic comparisons in quantitative terms. They differ in emphasis and context, but are similar in purpose and general principle *There appears to be an increasing trend in government to use the concept of LCC in the contract definition phase of contracts in order to promote

overall efficiency of projects.

5
in car selection may be to choose the vehicle with the lowest life cycle costs, with the

constraint that the vehicle meets minimum performance criteria. Similarly, the objective

of the maintenance supervisor may be to maintain vehicles at the lowest possible cost,

while achieving a target availability and reliability rate. By showing cost differences

among alternative ways of meeting those objectives, LCC assists the decision maker in the efficient allocation of tax dollars.

Identification of Alternatives

We see in exhibit 2 some of the major decision steps in fleet operations. As was

explained, however, each step may be accomplished in a number of ways. The fleet manager should aim for flexibility, resourcefulness and creativity in identifying possible

solutions to his problems.

Determination of Costs

A thorough LCC analysis should include identification and inclusion of all relevant

costs, from the costs related to acquisition through costs involved in final disposal.

Exhibit 3 summarizes the fleet cost elements identified in this study. In order to avoid

excessive expense in making the cost calculations, it is desirable to utilize any available

shortcuts in the estimating procedure. As pointed out elsewhere in the report, this may

result in a loss of accuracy, but a "ballpark" estimate will often suffice. Some costs may not be practicably expressible in dollars, e.g., cost of additional

downtime or decline in driver safety or morale. It may !je preferable to express these

costs in nondollar terms rather than to use highly arbitrary or questionable dollar estimates. In any case, these cost elements should be taken into consideration.

Exhibit 3. Critical cost elements to be considered in a life cycle cost analysis of police patrol cars

First or Acquisition Costs

1. Preparation of specifications, testing, and other procurement-related costs

2. Purchase price of the vehicle, including delivery

costs and factory accessories

3. Add-on equipment cost

4. Equipping/modification labor cost

5. Lease or purchase cost of tools, equipment, and facilities which may have to be used in connection with the vehicle acquisition

Operation Costs

6. Gas, eU, and tires

7. Preventive maintenance program

Parts and labor

8. Other repairs Parts and labor

9. Accident costs not covered by insurance

10. Cost of maintaining spare-parts inventory

11. Incidental expenses (parking, storage, washing)

12. Insurance (net of recovery)

13. Down-time costs Scheduled and unscheduled

14. Other shop and administrative overhead End Costs

15. Final reconditioning cost

16. Selling expenses

17. Resale or salvage value of the vehicle

(a negative cost)

6
Worth and Annual Cost Models in LCC Analysis

After the analyst has identified the alternative ways of achieving a given objective

and has determined all cash flows (positive and negative) associated with each

alternative, he must then determine the time at which they occur. A convenient

procedure is to set up a cost model in which negative values are shown as costs and

positive values as negative costs. The costs and their timing for each alternative under

consideration can be illustrated by constructing a cash flow diagram, such as that shown

later in the paper in exhibit 14. Since money has a time value, ^ and since the costs of alternative systems may differ both in amount and in time of occurrence, it is necessary

to make the expenditures for each system equivalent in order to compare them. Thus,

the analysis of alternative plans with different expenditures over time requires more

than a simple summing of present and future expenditures. The analyst has two options:

He can, using the appropriate interest rate, compute either Q) the present value of the

alternative systems for an equivalent period of time, or (2) the annual cost of each

system."

There are six basic discounting formulas which are used to move values in time so

that they may be compared on an equivalent basis. These formulas are shown in table 1 together with their standard nomenclature and standard shorthand notation.'

7 The fact that there is an opportunity for ^vestment which will yield a return causes a dollar spent today to be valued more highly than a dollar to be spent later, apart from any consideration of inflation.

8There are other closely related techniques for comparing alternatives such as computation of the rate of return on investment. The conversion of costs to an equivalent annual basis was the method favored in this study. A fuller account of techniques for comparing alternatives can be found in most text books on engineering economy, such as Eugene L. Grant and W. Grant Ireson, Principles of Engineering Economy , New York: Ronald

Press Co., and books on Cost Analysis, such as A. J. Merrett and Allan Sykes, The Finance and Analysis of Capital Projecls , London; Longman,

1971. The author relied extensively upon B. J. Keely and J. W. Griffith, Resource Optimization Using Cost -Benefit Analysis , K-G Associates Training Manual, K G Associates, Dallas, Tex.

9The interest formulas shown were not all used for cost comparisons in this study; mainly equations 2 and 5 were used. AU six are described for completeness.

Table 1. Discounting Formulas

Equation

no. Use when Standard nomenclature

Standard

notation

Algebraic form

6 Where:

Given P; to find F

Given F; to find P

Given A; to find F

Given F; to find A

Given P; to find A

Given A; to find P

(SCA, i%, N) F=P (l+i)'"

(SPW, i%, N) P=F [tTi)^

Single Compound Amount Factor

Single Present Worth Factor

Uniform Compound Amount Factor (UCA, i%, N) F=A

Uniform Sinking Fund Factor

Uniform Capital Recovery Factor

Uniform Present Worth Factor

(USF, i%, N)

(UCR, i%, N)

A=F

A=P

(]+i)''-l

1

(UPW, i%, N) P=A

r 'XI + 1)"

I

Rl+ir-ll

Li(l+i)~ J

P = a present sum of money. F = a future sum of money,

i = a discount rate. N = number of interest periods.

A = an end-of-period payment (or receipt) in a uniform series of payments (or receipts) over N periods at i discount rate, usually annually. Source: Committee on Standardization of Engineering Economy Notation, Manual of Standard

Notation for Engineering Economy Parameters and Interest Factors , Engineering Economy

Division, American Society for Engineering Education,
Formula 1, the Single Compound Amount formula (SCA), is used to determine the

future value, F, of the present sum, P, N years hence, discounted at a rate of i. Formula 2, the Single Present Worth formula (SPW), is used to determine the

present value, P, of a future sum of money, F, to be received or spent N years in the

future, when the discount rate is i. Formula 3, the Uniform Compound Amount formula (UCA), is used to determine

the future value, F, of an annual payment, A, over N years with a discount value of i. Formula 4, the Uniform Sinking Fund formula (USF), is used to determine the size of an annual payment. A, necessary to produce a given future sum of money, F, in N

years with a discount rate of i. Formula 5, the Uniform Capital Recovery formula (UCR), is used to determine the

amount of the annual payment. A, necessary to recover a present sum of money, P, over a period of N years with a discount rate of i. Formula 6, the Uniform Present Worth formula (UPW) is used to determine the

present value, P, of a series of payments. A, over N years at a discount rate of i. All values should be expressed in constant dollars; i.e., in terms of the general

purchasing power of the doUar at the time the comparison is being made. Where there

is a reasonable basis for estimating real changes in the cost components (other than

general price inflation), estimates may be adjusted to reflect such changes.

Most engineering economic textbooks contain calculations of these different

formulas for various values of the parameters i and N, and $1. Tables 2, 3, and 4 are examples of these discount factors and are reprinted here for the convenience of the

reader.

As an example of how the tables can be used, assume that it is desired to find the

present value of a future cost, such as the present value of a $5,000 cost expected to be

incurred 3 years from now, given a discount rate of 10 percent. The appropriate

algebraic formula is No. 2,

Instead of performing the indicated computations, one could refer to the single present

worth column, SPW, of Table 3 at the row for year 3, finding the factor 0.7513 for F - $1. Multiplying this factor by the specified future cost yields P = $3,757, the present

value of a $5,000 cost expected in 3 years. With a discount rate of 2 percent, use of table 2 would lead to a calculation of P =

$5,000 (0.9423) = $4,712; at i = 15 percent (table 4), P = $3,288.

A similar calculation for an expected expenditure farther in the future (say 8 years, with i = 10%) indicates a present value of the $5,(X)0 equal to $2,333.

These simple calculations illustrate the point made earlier that proper assessment

and comparison of costs must take into account when each cost is to be incurred. In the

above example it may be noted that: (1) The higher the discount rate used, the less the

present value of an expected future expenditure; and (2) the longer the wait until the

future cost is incurred, the less the present value of the future cost. Thus, a fleet decision which requires a large initial outlay is actually more costly than an alternative

decision calling for the same amount spread out over some future period. Similarly,

benefits to be received in the future are worth less the longer they are deferred and the

higher the discount rate. (For examples of the use of the discounting formulas to reduce costs of alternative

systems to equivalency, see tables 12, 15, 17, 18, 19, and 32.)

The minimum discount rate which agencies of the Federal Government have been directed to use is 10 percent. Ten percent represents an

estimate of the average rate of return on private investment, before taxes and after inflation.

P = F

10

8
Table 2. Discount factors (2% Discount Rate)

Year SCA SPW UCA USF UCR UPW

N P-F F-P A-F FA PA A-P

1 1.020 .9804 1.000 1.000 1.020 0.980

2 1.040 .9612 2.020 .4951 .5151 1.942

3 1.061 .9423 3.060 .3268 .3468 2.884 4 1.082 .9238 4.122 .2426 .2626 3.808

5 1. 104 .9057 5.204 1922 2122 d 71 ^

6 1.126 .8880 6.308 .1585 .1785 5.601

7 1.149 .8706 7.434 .1345 .1545 6.472 8 1.172 .8535 8.583 1165 1365 9 1.195 .8368 9.755 . 1025 1225 8. 162

10 1.219 .8203 10.95 .0913 .1113 O. 700

11 1.243 .8043 12.17 .0822 .1022 9.787

12 1.268 .7885 13.41 .0746 .0946 10.58

13 1.294 .7730 14.68 .0681 .0881 11.35 14 1.319 .7579 15.97 .0626 .0826 12.11

15 1.346 .7430 17.29 .0578 .0778 12.85

16 1.373 .7284 18.64 .0537 .0737 13.58

17 1.400 .7142 20.01 .0500 .0700 14.29 18 1.428 .7002 21.41 .0467 .0667 14.99

19 1.457 .6864 22.84 .0438 .0638 15.68 20 1.486 .6730 24.30 .0412 .0612 16.35

21 1.516 .6600 25.78 .0388 .0588 17.01 22 1.546 .6468 27.30 .0366 .0566 17.66 23 1.577 .6342 28.85 .0347 .0547 18.29 24 1.608 .6217 30.42 .0329 .0529 18.91 25 1.641 .6100 32.03 .0312 .0512 19.52

30 1.811 .5521 40.57 .0247 .0447 22.40 35 2.000 .5000 49.99 .0200 .0400 25.00 40 2.208 .4529 60.40 .0166 .0366 27.36 45 2.438 .4102 71.89 .0139 .0339 29.49 50 2.692 .3715 84.58 .0118 .0318 31.42

60 3.281 .3048 114.1 .0088 .0288 34.76

70 4.000 .2500 150.0 .0067 .0267 37.50 80 4.875 .2051 193.8 .0052 .0252 39.75 90 5.943 .1683 247.2 .0041 .0241 41.59 1000 7.245 .1380 312.2 .0032 .0232 43.10

Notation: SCA, Single Compound Amount; SPW, Single Present Worth; UCA, Uniform Compound Amount; USF, Uniform Sinking Fund; UCR, Uniform Capital Recovery; UPW, Uniform Present Worth; P-F would read Given P, to find F; F-P would read Given

F, to find P, etc.

9
Tablk 3. Discount Factors (10% Discount Rate)

Year SCA SPW UCA USF UCR UPW

N P-F F-P A-F FA PA A-P

1 1.100 .9091 1.000 1.000 1.100 0.909

2 1.210 .8264 2.100 .4762 .5762 1.736 3 1.331 .7513 3.310 .3021 .4021 2.487 4 1.464 .6830 4.641 .2155 .3155 3. 170 5 1.611 .6209 6.105 1638 .2638 3.791

6 1.772 .5645 7.716 .1296 .2296 4.355 7 1.949 .5132 9.487 .1054 .2054 4.868

QO

1 1 AA. -Uo i 4- . lo / 4 O.ooo Q 2 358 4241 13 58 0736 1736 5 759

10 2 594 3855 15 94 0628 1628 6 144

11 2.853 .3505 18.53 .0540 .1540 6.500

12 3.138 .3186 21.38 .0468 .1468 6.814

1lO^ 3 452 2897 24 52 1408 7 103 14 3.797 .2633 27.98 .0358 1358 7.367 15 4.177 .2394 31.77 .0315 .1315 7.606

16 4.595 .2176 35.95 .0278 .1278 7.824

17 5.054 .1978 40.54 .0247 .1247 8.022 18 5.560 .1799 45.60 .0219 1219 8.201 19 6.116 .1635 51 16 0196 1196 8.365 20 6.727 .1486 57.28 .0175 .1175 8.514

21 7.400 1351 64.00 .0156 .1156 8.649 22 8.140 .1228 71.40 .0140 .1140 8.772 23 8.954 .1117 79.54 .0126 .1126 8.883 24 9.850 1015 88 50 .0113 1113 8 985

25 10.84 .0923 98.35 0102 1102 9 007

30 17.50 .0573 164.5 .0061 .1061 9.427 35 28.10 .0356 271.0 .0037 .1037 9.644 40 45.26 .0221 442.6 .0023 .1023 9.779 45 72.89 .0137 718.9 .0014 .1014 9.863 50 117.4 .0085 1164. .0009 .1009 9.915 60 304.5 .0033 3035. .0003 .1003 9.967

70 789.7 .0013 7887. .0001 .1001 9.987 80 2048. .0005 2047. .0001 .1001 9.995 90 5313. .0002 5312. .0000 .1000 9.999

10
Table 4. Discount Factors (15% Discount Rate)

Year SCA SPW UCA USF UCR UPW

N P-F F-P A-F FA PA A-P

1 1.150 .8696 1.000 1.000 1.150 0.870

2 1.322 .7561 2.150 .4651 .6151 1.626 3 1.521 .6575 3.472 .2880 .4380 2.283 4 1.749 .5718 4.993 .2003 .3503 2.855 5 2.011 .4972 6.742 .1483 .2983 3.352

6 2.313 .4323 8.754 .1142 .2642 3.784

7 2.660 .3759 11.07 .0904 .2404 4. 160 8 3.059 .3269 13.73 .0729 .2229 4.467 9 3.518 .2843 16.79 .0596 .2096 4.772

10 4.046 .2472 20.30 .0493 .1993 5.019

11 4.652 .2149 24.35 .0411 .1911 5.234

12 5.350 .1869 29.00 .0345 .1845 5.421 13 6.153 .1625 34.35 .0291 .1791 5.583 14 7.076 .1413 40.51 .0247 .1747 5.724

15 8.137 .1229 47.58 .0210 .1710 5.847

16 9.358 .1069 55.72 .0180 .1680 5.954

17 10.76 .0929 65.08 .0154 .1654 6.047 18 12.38 .0808 75.84 .0132 .1632 6.128

19 14.23 .0703 88.21 .0113 .1613 6.198 20 16.37 .0611 102.4 .0098 .1598 6.259

18.82 .0531 118.8 .0084 .1584 6.312 22 21.65 .0462 137.6 .0073 .1573 6.359 23 24.89 .0402 159.3 .0063 .1563 6.399 24 28.63 .0349 184.2 .0054 .1554 6.434 25 32.92 .0304 212.8 .0047 .1547 6.464

30 66.21 .0151 434.7 .0023 .1523 6.566 35 133.2 .0075 881.2 .0011 .1511 6.617 40 267.9 .0037 1779. .0006 .1506 6.642 45 538.8 .0019 3585. .0003 .1503 6.654 50 1083. .0009 7218. .0001 .1501 6.661 60 4384. .0002 2922. .0000 .1500 6.665

11
Summation of Costs

This step represents the actual derivation of the total cost of an alternative over its life cycle—the sum of initial costs, operating costs, maintenance costs, and net disposal

costs. As a simple and straightforward example, table 16 compares a "bar-light" system

with an alternative "bubble light." Although the initial acquisition cost of the bar-hght

system is substantially higher than that of the other, its annual cost, after appropriate

discounting and totalling, is significantly lower. (Table 16 will be discussed in greater

detail later in the report.) Life cycle costing thus provides a clearer picture of the

probable costs associated with alternative decisions.

Comparison of Alternatives and Selection

While this step is self-explanatory, it may be well to reiterate the point made

earlier: It is unlikely that quantifiable life cycle costs will be the sole standard for decision-making. However, a more complete understanding of the cost effects of alternative decisions cannot but contribute towards more efficient fleet management."

2.2. Break-Even Models

Break-even models are used in cost analysis to determine that value of a preselected variable which will make alternative programs or decisions equal in costs. The break-even point is then the value of the selected variable which will make us

indifferent from a cost standpoint between the alternatives. To construct a break-even

equation, a present value or annual cost equation is developed for each alternative, and

then the equations are set equal to one another, and the value of the break-even variable

is determined. For values of the variable greater than the break-even point one

alternative becomes more economical; for lower values, the other alternative is cheaper.

Break-even analysis is useful in determining the fleet size which would justify

selected expenditures. For example, the fleet manager might wish to know what fleet size would make an in-house garage as efficient as contracting out maintenance; or what

number of radios would justify a radio specialist shop. (This form of analysis is used in sec. 3.4 to assess relative costs of the personal car program.)

3. COST ANALYSIS OF POLICE PATROL VEHICLES

In this part of the report the principles of life cycle costing are applied to some

problems of police vehicle management. First, the critical cost elements are identified; then (in sec. 3.2 through 3.5) different decision problems are analyzed using appropriate

techniques. In section 3.6, the cost elements developed in the previous sections are brought together to show life cycle costs of a typical police car.

3.1. Critical Cost Elements

Exhibit 3 lists, in the approximate order incurred, the major cost elements which

are pertinent to life cycle costing of police vehicles. For purposes of analysis, costs may

also be grouped according to their characteristics. Exhibit 4 shows two main categories

of costs—fixed costs and variable costs. As noted in the exhibit, fixed costs are those

that do not vary with mileage or age of the vehicle, and variable costs are those which

do. However, a clear-cut categorization of costs is difficult. For example, reconditioning

costs are to some extent variable with mileage, inasmuch as more reconditioning is generally needed with greater wear. However, a major part of the reconditioning process

is the transformation of a vehicle which looks like a police car into one suitable for private purposes. Since this component is fixed, reconditioning cost is classified as

For reference lo the Uleratiire of life cycle costing, see entries under Cost Analysis in the list of references. 12
Exhibit 4. Fixed and variable vehicle costs Fixed Costs

(Those that do not vary with the mileage or age of the vehicle)

1. Overhead

Including costs of procurement, inventory control, cost accounting

systems, depreciation of facilities and equipment, selling expenses,

supporting systems, and general management.

2. Insurance

3. Equipping, modification, and reconditioning costs

4. Incidental expenses

Parking

Storage

Washing

Variable Costs

(Those that do vary vnth the mileage or age of the vehicle)

1. Depreciation

2. Running expenses

(a) Those costs vvhich accrue directly with mileage: gas oU

tires scheduled maintenance

(b) Those costs whose probability of occurence increases with mileage

(1) Repair cost due to failure of vehicle components.

(Although not exactly predictable, studies suggest

a higher failure rate initially, due to manufacturing

defects; a lower rate during the "middle life," and a rising rate at higher mileage as the car begins

to wear out.)

(2) Accident repair cost

fixed. By like token, depreciation might be regarded as fixed since it is to a large extent unavoidable regardless of vehicle use. However, this characteristic might more

appropriately be designated as "noncontroUable," rather than as fixed, since

depreciation does vary with both age and mileage. There may be similar questions

regarding classification of accident repair costs. Accidents are random events, but

exposure to accident increases with vehicle use. For this reason accident costs may be

considered a function of mileage, and classified as variable costs. Though not shown in exhibit 4, leasing charges may comprise both a predetermined and a variable element. The predetermined part, which reflects finance

charges, normal depreciation, overhead and profit, are fixed to the lessee. The lease

charge may contain an additional variable part which reflects mileage-related

maintenance and repair cost and additional depreciation.

In vehicle management, greater attention is frequently given to the variable costs—

particularly running expenses, which are a direct function of mileage—because these

generally appear more controllable; indeed, they likely are in the short run. Each

category of cost is equally important, however, and in the long run, all can to some

degree be controlled. Due to their different natures, the several categories of costs shown in exhibit 4

require different interpretations for accurate analysis and managerial action. For

example, stating fixed costs in terms of cost per mile wiU, by spreading costs over more

miles, give the impression that a highly utilized vehicle is more efficient than a less used

vehicle, in terms of the fixed cost element in question. However, it would be incorrect

to conclude that the vehicle with the lower cost per mile is more efficient and preferable

to the other; they might appear equally efficient if operated over the same mileage.

13
3.2. Cost of Vehicle Acquisition

This section looks first at costs associated with buying and selling police cars, and

then compares buying with leasing.

3.2.1. Purchase Price, Resale Value, and Depreciation Cost

Itemized costs associated with purchase, resale, and depreciation for representative patrol cars and their equipment are first presented. The bases for deriving cost estimates for patrol cars of different size and age and operated by different

types of departments are then explained.

Purchase Prices

Table 5 shows a typical price quotation (in 1972-73 prices) for a 4-door standardsize patrol car, representative of the popular model most widely used for patrol purposes

today and within the most prevalent price range reported. The price of the optional

equipment (approximately $660) appears about average for this size car at the time

shown.

Table 6 shows the average base prices of several car models. The second column

shows Factory Advertised Delivered (FAD) prices for 1973 models; the third shows the

approximate cost to the dealer of the basic, unaccessorized car. The price quotation

shown in table 5, of $3,500, is assumed to be representative of the price police paid for the middle-of-the-Une, standard-size car in 1973.

Table 5. Typical 1972-1973 price quotation for a 4-door

standard size , popular model patrol car

Factory cost $2,600

Optional equipment

Police package^ 400 cm engine-2BBl

Radio suppression package

Spotlight 6 in. MTD left pillar Universal single keys Release—deck lid power

Tinted glass and windows Remote control mirror-left Defogger—rear window

Trunk light Tires, police special Air conditioning 303

100674

264

1237

10234

60

660

Freight Dealer preparation and handling Dealer markup

100

100

50

Total price $3,500

^Includes power steering, power disc brakes, and transmission. Includes heavy-duty alternator, battery, seats, and other heavy-duty features. NOTE: Based on average dealer base costs of four popular models, and actual low

bid prices reported by several departments on 1972 and 1973 models.

14
Table 6. Average 1973 base prices of Ford, Chevrolet,

Plymouth, Dodge, and American Motors' cars by model

Approximate base FAD base price ^ dealer cost^

Standard size (120-122 in. Wheelbase)

Bottotn-of-Line

(Average for Ford Custom 500, Chevrolet Malibu and Laguna,

Plymouth Fury I and Dodge Polara) $3,341 $2,573

Middle-of-Line

(Averages for Ford Calaxie, Chevrolet

Bel Air, Plymouth Fury II, and Dodge

Polara Custom) 3,678 2,832

Top-of-Line

(Averages of Ford LTD, Chevrolet

Impala, Plymouth Fury III, Dodge

Monaco, AMC Ambassador) 3,984 3,068 Intermediate size (111-118 in. wheelbase)

Bottom-of-Line (6 cylinders)

(Averages of Ford Torino, Chevrolet Nova, Plymouth Satelite Dodge

Coronet, and AMC Matador) 2,672 2,057 Middle-of-Line (V-8)

(Averages of Ford Torino, Nova Custom,

Satelite Custom, Dodge Coronet, and AMC Matador) 2,829 2,178 Top-of-Line

(Averages of Ford Grand Torino, Chevelle Deluxe and Coronet Custom) 3,023 2,328

1 Suggested factory advertised delivered base retail prices for 1973 models as reported in National Automobile Dealers (NADA ), Official Used Car

Gui<ie , Eastern Edition. December 1972. These are base prices and do not include options, or dealer preparation. These rough approximations derived by multiplying the sticker price by .77 are recommended in "Dealing with the Dealer," Consumer

Reports, April 1973, p. 232. Compared with a sample of dealer prices as reported in the United Buyers New Car Catalog, these estimates are sometimes high and sometimes low, but appear generally to be within 1 percent of the actual price. NOTE: This Ust is intended to provide an approximation of prices, not to show exact prices among currently competing manufacturers.

In order to estimate prices of different models accessorized for patrol work, it is assumed that the prices of fully equipped patrol cars are in the same proportions to one

another as are their basic FAD prices. This assumption appears reasonable, given two

facts: (1) The factors which dictate using a relatively large, high performance car will likely also require more accessories, such as higher powered engine and heavier duty

alternator; and, (2) there is a general rule that higher base priced cars are equipped

with more options than cheaper ones in order to reaUze full resale potential.

Estimates of prices of cars accessorized for patrol work, by model, are derived

from tables 5 and 6, by multiplying $3,500 (the estimated police price of the middle-ofthe-line, standard car) by the ratio of FAD base price of each model type to the FAD

base price of the standard, middle-of-the-Une model. The resultant estimated average

prices shown in table 7 are used wherever the cost analysis calls for initial car prices.

Car Depreciation'^

Depreciation (measured in dollars) is the difference between the purchase price

and the amount recovered at resale; it is, in other words, the used-up value of the

vehicle. Table 8 shows average resale prices recently received for used patrol cars, all

This section treats factors influencing depreciation and estimates of depreciation costs. It does not evaluate the most economical depreciation

period; that analysis is presented in section 3.5.2. 15
Tablk 7. Estimated 1972-1973 prices of different models of

police -accessorized patrol cars

Factory advertised delivered (FAD) price as a percent

of average FAD

price of standard

middle-of-line models

'

%

Estimated price to police departments,

mcluding options

$

Standard size

Bottom-of-the-line 91 3,185

Middle-of-the-line 100 3,500'

Top-of-the-line 108 3,780

Intermediate size

Bottom-of-the-line 73 2,555

Middle-of-the-line 77 2,695

Top-of-the-line 82 2,870

^Percentages calculated from costs shown in column 2 of table 6. Estimated prices are derived by multiplying $3,500 by the percentages in column 2. As explained in the text, it is assumed that the prices of accessorized vehicles are in the same proportions as the prices of the basic cars. Assumed price of accessorized, middle-of-lhe-line, slandard-size car. Based on tola! cost shown in table 5.

Tablk 8. Estimated resale values and depreciation costs for 2-year

old patrol cars sold in 1973 by a few police departments

Department type

Average

resale value

Two-year depreciation cost expressed as a percentage of

original price of police cars

'

State highway patrol $936 70 (55-79)^ County 590 82 (74-89) Medium-size city 533 84 (74-89) Large city 262 87'

In comparison, private cars depreciate on the average 50 percent over a 2-year period, not adjusted for high mileage, and 70 percent, when

adjusted for high mileage. ^The first figure is the group average; the range among departments v/ithin the group is shown in parentheses. No range is given in this area, because resale values were from a single large city department. NOTE; These data should be regarded only as a rough approximation of depreciation experienced in general by department types. The sample of

~\ departments upon which the table is based is small. The cars differed in make, model, and condition, but all were approximately 2 years old and

had been driven between 60,000 and 75.000 miles (96,000 and 120,000 km). The data were gathered by interview and correspondence.

of comparable age and mileage, by a small sample of state, city, and county police

departments. The cars sold differed in make, model, and condition, but all were

approximately 2 years old and driven 60,000 to 75,000 miles (97,000 to 121,000 km).

Depreciation over the 2 years, which may also be measured as a percentage of

original car price, was significantly higher for city departments than for state departments. This is not surprising considering the additional wear-and-tear resulting

from urban and suburban driving conditions, the differences in utilization practices and,

possibly, greater attention to resale which may be given by fleet administrators in state police departments. In table 8, it appears that all of the police cars sold for much less than comparable cars in private use. However, v/hen the higher mileage driven is taken

into account, the difference, on the average, vanishes for state highway patrol cars. The data in table 8 can be used to estimate depreciation rates for patrol cars as

well as resale values as a function of purchase price, age, and type of police

department. Estimated depreciation rates for patrol cars are derived by department type

in table 9. Departments may be able to do better or worse in terms of resale than shown

by the estimates in table 9, but these rates may be indicative of average performance.

16
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17
The depreciation rates of table 9 are applied to the estimated purchase prices of table 7 in order to estimate typical resale values by patrol car model and by department

type, as displayed in table 10. The depreciation factors for intermediate models have

been reduced by 6 percentage points from the rates shown in table 9 to reflect lower

average percentage depreciation incurred by intermediates as compared with standardsize models.'^ There is also some evidence to suggest that higher line models may retain

their value better than lower line models, but in absence of documentation, depreciation

rates have not been adjusted to differentiate between bottom, middle, and top-of-the-line

models.

Clearly, depreciation is influenced by many factors in addition to model, age, and

mileage, such as make, accessories, color, and condition. The effect of these other

factors account in large part for the differences in the estimates of resale value for cars

in the various types of police departments as shown in table 10. The impact of car

condition, which—aside from age—reflects both different utihzation practices and

different driving conditions, shows up in the variations in the estimates among

department types. For purposes of most of the cost comparisons described later, these

estimated resale values are adequate; only for the costing of very low utilization rates does it appear necessary to adjust these estimates.

The background research for this report was completed too early to determine the

effect of the Federal Odometer Law of 1973, on car resale values. Used car price guides

show significant deductions for higher mileage cars, and many dealers appear concerned

about used cars with mileage over 40,000 (64,000 km). However, the patrol car may be

in a unique position with respect to this law. In effect, the antiroUback laws require

truthfulness on the part of the seller, thereby increasing the buyer's knowledge of the

car's condition. Used patrol cars are often identified as such despite reconditioning, and

are generally expected to have high mileage regardless of the odometer reading. The

odometer laws may, therefore, tend to reduce the disadvantage of the used patrol car

relative to other high mileage, used cars. On the other hand, the odometer laws are likely to have a negative impact on

prices of patrol cars which are not otherwise identifiable as such. Prices offered for patrol cars by used car dealers and wholesalers who in turn do not identify them as used

police cars at time of resale, may fall sharply from previous levels. According to a large

midwestern dealer who specializes in sales of used police cars, the odometer law is causing a decline in police car resale values.

Equipment Cost

The purchase, installation, repair, and removal expenses of reusable patrol car equipment is a significant part of total vehicle costs. A hst of representative equipment

for a standard size patrol car is shown in table 11. The prices shown were recently paid

by a police department, but would not necessarily be those available to all buyers. The

original purchase price of the full equipment package shown is nearly $1,200.

Since most of the equipment can be sold or reused on replacement cars, the full cost is not incurred at once. Using a 10 percent discount rate, the initial cost of the

equipment can be converted to an annual cost, in constant dollar terms, based on the

assumed life of the equipment. As shown in table 12, the annual equipment cost is nearly $700 if the equipment is used only 2 years and no resale or trade-in value is received, but can be reduced to about $200 if used for 8 to 10 years.

The percentage differential was suggested by John A Rowley. "Fleet Car Selection." (paper presented at the NAFA Conference) March 25,

1973, p. 15.

14 Ibid. .p. 21.

IS David Copser. Midwest Auto Sales, Inc., Dayton, Ohio, telephone interview, March 20. 1973.

18
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19
Table 11. Typical 1973 prices of a representative

of add-on equipment for patrol cars

selection

Top lights

'

$ 95.50

Electronic siren/public address system 185.50 Wig-wag head lights 4.50 Two amber lights rear window 13.50 Two red grill lights 13.50 Shot gun scabbard 10.00

Fire extinguisher 7.20 Push bumper 35.00 Decals 12.00 Metal trunk box 17.00

393.70 Radio (a wide price range exists, ranging from

about $600 to $1500 for a standjird model mobile

radio) 800.00

Total equipment costs $1,193.70 rounded to $1,200.00

For a cosi comparison of two models of lop lights, see table 16. NOTE: This is not intended as a comprehensive listing of equipment nor as an official price

list. Items are those actually included on the patrol cars of a particular state highway patrol department, and prices are those paid in 1973, by that department.

Tablf 12. Annual cost of patrol car equipment'

Assumed Life

of the First equipment cost UCR Discount AnnueJ cost (Years) ($) factor rate of equipment

2 1,200 .5762 10% $691 4 .3155 379

6 .2296 276

8 .1874 225

10 .1628 195

* Assuming various life-periods for the equipment, no salvage value, and a discount rate of 10

percent, the initial cost of the equipment can be converted to an annual cost basis by multiplying

the first cost by the Uniform Capital Recovery Factor (UCR) for the selected time period. For

example, for a life of 6 years, annual cost of equipment = $1,200 X (.2296) = $276.

It is estimated that about 3 labor hours would be needed to install the radio, and

about 6 labor hours to install the other equipment. '* Depending on labor costs (which

might range from $5 to $15 an hour), installation would cost from $45 to $135.

3.2.2. Cost Saving Practices In Buying and Selling

An expert in transportation management has estimated that a fleet manager often can save at least 15 percent of total fleet costs and possibly as much as 40 to 50 percent

by applying efficient management practices. Significant reductions are often possible in each area of costs. This section explores some of the methods for lowering the purchase

price or raising the resale value to reduce depreciation costs.

Estimates of 6 hours to install equipment other than th<? radio, and 3 hours lo install the radio were provided by the Arizona Dtpartment of PubUc Safety. Phoenix, Ariz.. May 1973.

17 Herman S. Botzow, Auto Fleet Management, (New York: John Wiley & Son. 1968), pp. 4, 129. 20
Model Selection

As was shown in tables 6 and 7 it is possible to reduce the purchase price by

moving down the model line from one make or model to the next. The difference

between the price of a bottom-of-the-line intermediate and a top-of-the-line standard-size car averaged more than $1,000, based on 1972-1973 prices (see col. 3, table 7). The cost effect of "moving down the line" is, of course, not this simple. What is important is the combined effect of the lower purchase price, the corresponding change

in resale value, and the impact of the change on operating cost. Table 13 compares representative ownership cost for several car models kept for

1, 2, or 3 years by 2 different types of pohce departments. Consider for the time being

only the effect of model difference, and not age or department type. In row 5 we can compare the costs of 6 different models, all owned by a medium-size city department

and kept for 2 years. Based on the data developed here, the standard, top-of-the-line

model costs $142 more in annual depreciation than the middle-of-the-line model, which,

in turn, costs $158 more annually than the standard, bottom-of-the-line. Potential

savings in annual cost is $300 per car by moving from the top-of-the-line to the bottom.

A middle-of-the-line standard car operated for 1 year by a State highway patrol costs nearly $600 more annually in depreciation than a middle-of-the-line intermediate kept 1 year. These data suggest that depreciation costs can be reduced by choosing less- expensive, smaller cars (provided these cars can be effectively used). This reasoning

may not apply if, for instance, a department has access to an exceptional or specialty

resale market for a particular model of used car where the depreciation rates among

models are significantly different from those normally incurred. However, it should

again be stressed that a substantial difference in depreciation rates is necessary to equalize the depreciation costs of higher and lower priced cars. Since more expensive

cars generally have to be in good condition in order to realize fuU resale potential, the

rule of selecting less-expensive models whenever possible undoubtedly is appropriate for departments whose cars at the time of disposition are usually in poor condition.

Length of Ownership

The effect on depreciation cost of keeping cars longer can also be seen in table 13. Examine in the top three rows the depreciation costs of a middle-of-the-line, standard

car owned for 1, 2, or 3 years. In this case, extending the period of ownership from 1 to 2 years decreased annual depreciation by $373, and from 2 to 3 years, by an additional

$300.

The impact of harder utilization and poorer car condition on annual depreciation is suggested by the comparison of a standard, middle-of-the-line car owned for 2 years by a

state highway patrol with the same type of car owned for the same period of time by a

city department. Annual depreciation costs incurred by the city's car exceed the state's by a substantial amount; in actual practice, examples of much larger differences may be

found.

The combined effects of both model and age on annual depreciation can be seen in the extreme case in the comparison of costs to a State police department of a top-of-theline standard car owned for 1 year with cost of a bottom-of-the line intermediate car

18 These estimates rest on the assumptions of equal depreciation rates for bottom, top, and middle-of-the-line models within each size category, and

6 percentage points lower depreciation rates for intermediates as compared with standards. Although it has been suggested that rates of depreciation may decline as car price increases within a particular size group, no conclusive evidence was found. It is apparent from the cost estimates that a fairly sizable difference in depreciation rates would be required to eliminate or reverse the effect shown. A check of first year

depreciation on bottom, middle, and top-of-the-line standard-size cars, in private usage, showed little difference in depreciation rates, but to the

extent there was a difference, depreciation rates for higher line models were greater than for the bottom-of-the-line model. l..\'ADA Used Car

Guide has also been said that certain makes of vehicles depreciate less than others. Any differences which may exist between makes are not taken into account. This finding is compatible with the recommendation fleet managers to "trend towards low-line models for high mileage— hard usage," given by Rowley, "Car Selection," p. U.

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22
owned 3 years. The estimated annual costs in constant 1973 dollars, are $2,038 and

$788, respectively—a difference of $1,250.

For a car in ordinary use, depreciation increases, but at a declining rate, until about the sixth or seventh year. After this time depreciation remains about constant at a low level or goes to zero. A patrol car, with its high mileage and sometimes rough use, usually depreciates out much more quickly. As was estimated in table 10, a patrol car driven in a city will, on the average, have lost most of its value between the third and

fourth years of use.

Accessories , Color and Equipment

From a cost standpoint alone, most accessories would be ordered by most

departments expressly to meet functional police requirements.^" It will seldom pay to add extensively to the list of optional accessories solely for the purpose of increasing

resale value. This is especially true: (1) When bottom-of-the-line cars are selected; and

(2) when cars are sold after several years with high mileage and in poor condition.

Equipment added in such cases will have little influence on resale values. In other circumstances, however, careful and selective use of equipment and color

may be used to decrease depreciation.^' This may be done in two ways: (1) By giving

attention to selection of those features which are standard with the car (i.e., their costs are included in the base price) and (2) by adding only those accessories which hold their

value well and add to the general appeal of the car. With respect to standard features, some departments have reported the benefits of specifying that the department will have choice of a variety of interior and exterior

colors without additional charge. A diversity of color choice appears to improve

demand for the used cars; prospective buyers facing 400 identical cars, for instance, are

not likely to feel very competitive. From the standpoint of resale alone, the more

distinctive the car, the higher the price. Light, pastel colors appear to be good choices

for exterior colors. Light-to-medium metallic colors seem preferable to darker

metallics."

Although the cost savings possible through the color selection cannot be

definitively measured, some effects were observed in the following several special cases:

(1) Of cars disposed of by a large city department in 1971-72, unmarked colored cars sold at an average price of about $340, compared with an average of only

$260 for black and white cars which had been marked. The colored cars averaged

several years older than the black and white cars, but the average mileages were

similar. The greater age of the colored cars would to some extent offset their

advantages of better condition and fewer police features, hence color may well

have accounted for the better sale prices of that group.

(2) In a recent sale of State police cars, white patrol cars which had been marked

sold for about $60 less than colored patrol cars which also had been marked. All of the cars were of comparable model, with similar accessories and of similar

condition.

(3) During 1970, in a southwestern state, resale prices of similar white and colored

state patrol cars, while nearly identical to one another, were substantially higher

than those received in other states not having a patrol fleet mixed in color. The

20There are, of course, other considerations in selection of accessories and options besides functional requirements and cost, including officer

safety, morale, comfort, and officer and vehicle appearance.

21 Perhaps attention should be called to the words "decrease depreciation." There is no question that optional equipment can raise resale value, but

this does not necessarily mean it decreases depreciation, a point often neglected.

22This obviously does not apply to departments which are not free to have a mixed color fleet (due to restrictive codes), or which choose not to, or

to vehicles whose use requires a uniform distinctive color and markings so as to be readily identifiable.

23 Discussion of fleet car selection. Annual Conference, National Association of Fleet Administrators, Inc., Detroit, Mich., March 25-28, 1973. 23
manager of car disposition explained that white cars sold as well as colored ones due to the strong demand for white cars in the hot climate, but the mixture of white and colored cars helped raise the average resale price of all their cars by

stimulating interest in the whole fleet.

(4) Of a group of state toll-way cars sold in 1972 to an auto auction house which,

in turn, reconditioned and resold them, the following observations were made:

a. White cars were bought at a lower average price from the state police

department than were colored cars, and

b. a lower price was received by the auction house for the reconditioned white

cars than for the reconditioned colored cars.^*

It may also be noted that some departments diversify their fleets even further for resale purposes by varying models and makes, as well as colors. As to the cost effects of various optional accessories, the particular combination of car and equipment seems to be very important. Generalizations regarding the cost

effects of individual accessories are meaningful only as they relate to particular models,

other accessories, car condition, and method of disposition.

Table 14 presents examples of the "holding cost" for selected accessories. These

data suggest that the V-8 engine, automatic transmission, and power steering may cost

little, or even reduce overall depreciation cost. On the other hand, the air-conditioning

system appears to lose nearly a third of its value in 1 year, about comparable to the rate

of overall car depreciation in the first year. However, air-conditioning in top-of-the-line

models in good condition has become almost necessary in order to retain their fuU resale appeal. Also, air-conditioning and power features have become increasingly regarded as expected concessions to driver comfort, just as air-conditioned environments are expected by office workers.

There are disadvantages to locally-installed air-conditioning units such as interference with the installation of other police equipment. However, departments

whose cars are heavily depreciated at time of resale may find the ability to rotate units an efficient way to have air-conditioning.

Following are some general guidelines suggested for accessorizing fleet cars, which

may be adaptable to patrol cars:^* For Lower Priced Makes (i.e., Chevrolet, Ford, Plymouth and Ambassador)

B-O-L—Keep equipment to minimum—automatic transmission, radio, and power

steering with V-8 engine.

M-O-L—Automatic transmission, radio, V-8 engine, and power steering and power

brakes a must. Air-conditioning rapidly becoming mandatory for good resale. T-O-L—These cars must be well equipped—add miscellaneous items of equipment

such as light groups, wheel covers, white sidewall tires. For Medium Priced Makes (e.g.. Mercury, Buick, Pontiac, and Oldsmobile).

B-O-L—Should be equipped with automatic transmission, power steering, power

brakes, radio, white sidewalls.

When a more expensive car is selected, air conditioning, power steering and other

luxury features should probably be added and efforts should be made to eliminate the austere appearance often typical of police cars, in order to reduce depreciation. A sales manager of a large auto auction has expressed it this way: "Even though they (middle

and top-of-the-line cars) may have both air-conditioning and power features, 'Police

Specials' with taxi cab interiors and rubber floor mats cannot successfully be converted

The auction house made the larger profit margin on the white cars. The advantage of the lower price paid for them more than offset the higher

reconditioning costs and lower price received. The conclusion we can perhaps draw from this is that, given the apparent profit potential, police departments may tend to sell their unattractive patrol cars to wholesale dealers more cheaply than they could.

25 In the cases found, maintenance was contracted out to private dealers and garages. The problems and additional costs which might otherwise

result from need for larger parts inventories, more equipment, and loss in efficiencies of specialization by mechanics were thereby avoided.

26Taken from Rowley, "Car Selection," p. 28. Notation: B O L, M-O-L, T O L indicates botlom of the line, middle, and top.

24
Table 14. "Holding costs" for selected items of car accessories'

Average value Accessories on of 1971 model

intermediate model

equipment sold

in 1972 ($)

Typical 1973

cost ($)

Holding

cost ($)

Power steering 101 88 (13)' Automatic

transmission 203 177 (26) Air conditioning 310

North value 213 97 South value 225 85

Vinyl top 53 76 23 V-8 engine 116 91 (25)

Cost data were obtained by averaging values from three used car guides. In the examples,

holding cost is defined as the difference between the price of the equipment on a 1973

intermediate model, and the used value for the same type of equipment installed on a 1971 model

and sold in 1972. Clearly this is a dubious measure and actual experience might produce much

different experience.

2 Parentheses indicate a negative holding cost. Source: Rowley, "Car Selection," p. 24.

to desirable used cars, at least not from a cost standpoint." " To this end, some

departments order patrol cars with carpeting and protect it with rubber throw mats; put on attractive tires (such as whitewall recaps), and add other touches to help remove the

patrol car look at resale time. These steps will be effective, however, only if the car is sold while it is still in good condition. If the car is kept until it is in poor condition, the

remnants of luxury features will have little impact on resale and will merely add to purchase price, hence to depreciation cost. Some departments select cars for resale appeal, equip them well, maintain them in top condition, and keep them for a relatively short time^n some cases for 40,000 miles

(64,000 km), or less. Such practice may yield resale values quite close to those received

for similar cars in private use.^* The improvement in resale value, however, is contingent on luxury accessories, a shorter period of use, good maintenance, top

condition at resale, and an effective selling program—all of which may add to ownership

costs.Table 15 shows estimated annuEd depreciation costs for two cases: (1) The same

expensive model, but equipped with options added exclusively for resale purposes, and

sold in top condition after 1 year of use with relatively low mileage; and (2) the same

expensive model, but with somewhat fewer accessories, and sold in "average" condition

after 3 years of use. It appears that, by keeping the car longer, annual depreciation can be reduced by about $300 to $600, even though resale value is lowered. Thus, even if a

higher-line, more expensive car is used, depreciation costs may be lowered by extending

the service life.

It may be argued, however, that the purpose of moving up the model line is to improve officer morale, car appearance and car performance, and that increasing the

age of the vehicle negates the advantages of the higher model line. Alternatively, it might be claimed that reducing vehicle age is intended to lower maintenance costs and

downtime. [The cost relationships between maintenance and repair cost and age

(mileage) are examined in section 3.3.] From the information presented here we can

conclude that decisions to buy higher-priced cars with luxury accessories and to keep

them for short periods of time generally do not appear to be justifiable in terms of reducing depreciation cost—although they may well be justifiable on other grounds.

R. W. Edmonds, General Sales Manager, Indiana Auto Auction, Inc., Fort Wayne, Ind., Letter of April 16, 1973.

28The similarity in resale values were determined by comparing used patrol car prices of a department with used car values as reported in the National Used Car Market Report , Blue Book and Automotive Market Report.

25
Table 15. Comparison of annual depreciation costs associated with two approaches to ownership of a more expensive patrol car'

(In constant 1973 dollars)

Approach 1: Luxury Equipment, Top Condition, 1 Year Old—Low Mileage Purchase Price $3,880' Resale Value $2,561 to 2,910^

Reconditioning Expense $250 Annual Depreciation Cost" [$3,880—($2,561 to 2,910)] (1.1) +

($2,561 to 2,910) (.10) +250 (1.0)^ = $1,957 to 1,608

$100 Less Equipment, "Average" Resale Condition, 3 Years Old—High Mileage Purchase Price $3,780

Resale Value 670

Reconditiotiing Expense 67 Annual Cost = ($3,780-670X.4021) + (670)(.10) + (67X.3021) = $1,338

The costs of maintaining a 1-year old car in "top" condition as compared with maintaining a 1 to 3-year old car in "average" condition is difficult

U) estimate. This cost difference is ignored here, except as reflected in the assumption of higher and lower reconditioning expenses, respectively. The purchase price of $3,880 is the sum of $3,790, the estimated price of an equipped top-of-the-line patrol car (table 7), and $100, the estimated

cost of additional equipment chosen for resale appeal. The low end of the range is based on a depreciation rate of 34 percent, the rate assumed average for ordinary passenger cars during the first year, with no increase added to reflect police use. The high end of the range is based on a depreciation rate of 25 percent, to compare the two

approaches when a substantial depreciation advantage is assumed for the first approach. As shown in table 10 and based on estimated patrol car depreciation rates developed in table 9. Uniform Sinking Fund (IISF) factor.

Approach 2:

Cost savings are also possible in equipping the vehicles, both by eliminating any

unnecessary items and by choosing wisely among alternative model designs. Although it is not possible within the scope of this study to make cost comparisons among all alternative equipment systems—and there are many—a brief cost comparison is made of two suitable warning light systems, for illustrative purposes.

The two systems costed are: (1) An aluminum mounting bar, having at each end a

light with two rotating light bulbs, and; (2) a roof mounted light with four rotating bulbs.

An electronic siren/PA system is required with each light system but need not be costed

since there is little difference in price. (With the bar light, the speaker can be mounted

in the center of the bar and the electronics housed within the car; with the bubble light,

essentially the same speaker, with a flat horn design, can be mounted under the light

unit with the electronics unit in the car.) For the purpose of comparison, the light units are the relevant items.

Although the two systems may differ slightly in terms of performance (e.g., the bar

light appears to be more visible, but may also be subject to theft and cause greater wind

resistance and wind noise than the bubble light), they seem to be roughly equivalent.

Their comparative costs, including purchase price (less salvage value), installation cost, cost of vehicle modification necessary to mount the systems, maintenance costs,

removal costs, and cost of repairing damage resulting to the vehicle^would, therefore be

a prime criterion for selection. Part A of table 16 lists the relevant costs for each system. The bubble light is seen

to have a lower purchase price than the bar light. This comparison is often cited as

justification for buying the bubble light. However, a much more vahd comparison of costs is provided in Part B, where the alternative costs are converted to the same

annualized cost basis. This shows that the bubble light is actually more costly than the

bar light because of the repetitive expenses of removal and reinstallation.

26
Table 16. Cost comparison of visi-bar light system with bubble light (In constant 1973 dollars)

Bar-light system Bubble light

A. Costs of the Two Systems ' Purchase price $161.50 $115.75

Installation cost^ ' 5.00 17.50 Removal cost^ 1.00 5.00 Repair of vehicle* 0 25.00 Expected Ufe 8 years 8 years B. Comparison of Annualized Costs

Starting with new equipment, using a 10 percent discount rate, and assuming

equipment is rotated to replacement cars every 2 years, the annual costs of each

system can be calculated as follows: Annual cost of bar Ught (A ,): A , = [$166.50 + $6.00

(SPW, yr. = 2) + $6.00 (SPW, yr. = 4) + $6.00 (SPW, yr. = 6) + $1.00 (SPW, yr. = 8)] [UCR, yr. = 8] = $33.62 Annual cost of bubble light (A^): A^ = [$133.25 + $47.50 (SPW, yr. = 2) + $47.50

(SPW, yr. = 4) + $47.50 (SPW, yr. = 6) + $30.00 (SPW, yr. = 8)][UCR, yr. = 8] = $46.05

1 The systems costed are Iwo popular brand models; prices are 1973 catalog prices. Several items of costs are omitted from the comparison: coats

of modifying the vehicle to make it ready for the light installation are omitted because it is estimated that costs of switches and wiring for the two

systems would be approximately the same. Costs of subsequently repairing the two units appear Ukely to differ, but are not included in analysis due to the inability to gel good quantitative estimates. In addition, differences in failure rates and repair costs are not included. In addition, differences in failure rates and repair costs are not included. However, it was suggested by several police fleet managers that the bar-light system

is less subject to failure than the bubble light. Thus, cost of the bubble light might be increased relative to the bar light if maintenance costs were

included. Salvage values (negative costs) also are not included, due to uncertainty regarding appropriate values. One fleet administrator estimated

both would be worth about $25 at the end of 8 years. Another estimated no salvage value for either at the end of 8 years. To the extent that salvage

values do remain, it would seem likely that the bar light would have a greater salvage value than the bubble light since it might be considered a more modern model and is less likely to corrode or be marred during installation and removal.

2 ' Based on an assumed labor rate of $10/hour and estimates of 30 minutes to install the bar light and 1 hour and 45 minutes to install the bubble

Ught. (Estimates provided by the Vehicle Maintenance Section, Prince Georges County Maryland Police Department; Interview, April 1973.) Based on a $10/hour labor rate and estimates of 5 minutes removal time for the bar light and 30 minutes for the bubble light. Same source as above.

4Same source as above.

If the likely higher maintenance cost of the bubble light and its probable lower

salvage value were also considered, the cost advantage of the bar-light system would be even greater. (See footnote b to table 16 for an explanation of these other cost items.)

Reconditioning

In practice, reconditioning expenditures vary greatly among departments, and

among vehicles. Some departments do not recondition; others invest substantiailly in upgrading cars for resale. This is not surprising since differently equipped cars incur

different reconditioning costs, and not all cars warrant or merit the same amount of reconditioning.

A rule-of-thumb used by some departments is that reconditioning costs be about 10

percent of the estimated resale value of the car. Based on resale values developed

earlier, we would therefore expect reconditioning costs to range from $20 to $200 for police cars. In general, more should be spent on newer, more expensive models, and

less on less expensive models, and those in poor condition. There are exceptions to these guidelines, depending mainly on the type of car. For example, elaborate

reconditioning of a car with an austere interior is unlikely to pay, even for a relatively

expensive model in good condition. Its lack of consumer appeal will likely prevent

attainment of full resale potential.

On the other hand, minimal reconditioning even if no more than a good cleaning, is almost always worthwhile. Cars in exceptionally poor condition may be worth more

through parts recovery than through reconditioning and resale.

27
Institutional Impediments and Incentives to Efficient Buying and Selling

There may be institutional barriers to efficient fleet management. In the buying and

selling of police cars, there may be a lack of direct lines of responsibility,

communication, and recognition between those in charge of purchasing, using, and

disposing of vehicles. For example, some police departments have insufficient influence on decisions regarding fleet composition, make and model selection, accessorizing, and

replacement. This lack of influence may cause morale problems and an inferior job in managing and caring for the vehicles provided.

There is an obvious disincentive to efficient vehicle disposition when the police

department staff perceives no direct benefit from achieving cost savings in depreciation.

In centralized fleet management, for example, the police department may turn over its vehicles to another governmental division for disposition with the proceeds from resale

going into a general fund. This may ultimately benefit the police department, but so

indirectly as to occasion comments from police administrators such as, "It makes no

difference to the police department whether it surrenders its vehicles in good or poor

condition." Departments which receive no direct credit from their retired vehicles may

find it profitable to junk cars for parts retrieval, rather than pass the cars along for resale even if more might be recoverable from resale. Such a practice may be perfectly

efficient from the standpoint of the police department, but not from that of local government and society.

This undesirable side effect of centralizing the management of fleets of the various

units of government (such as the police department, fire department, and sanitation

department) is ironic, since one of the main arguments for centralizing fleet operations

is efficiency—the possibility of achieving economies of scale and better coordination

among subunits.

The problem of incentives to efficient management deserves attention. Sound cost accountability procedures which would shift charges and credits to the cost centers from

which they arise are necessary. In this regard, it might be fruitful to examine

departments with centralized management, and to look into their respective incentives

systems.

Preparation of Specifications , Price Documentation , and Bid Acceptance

Cost savings are often possible in the purchase of vehicles. Careful specifications can reduce costs and improve fleet effectiveness. According to one manufacturer's

representative who has considerable contact with law enforcement fleets, "many

departments order the wrong kind of vehicle, not really suited for the intended use, such as pursuit cars for in-city use." He further commented that departments often

submit "weird" or obsolete specs, calling for features which are not really needed and

which add to the cost. Attention to details can prevent unanticipated ballooning of costs. As an example,

one county fleet administrator cited a savings of $30 per car (compared to a nearby

police department buying the same car) simply by specifying the inclusion of preparation

and handling charges within the bid price.

There are probably advantages in quantity buying, although the largest car manufacturers ceased granting special discounts to fleets in the summer of 1970. In informal conversation, a major company representative stated that special concessions

and consideration with respect to such items as warranty coverage and delivery are extended to two types of fleet customer: the most important from the standpoint of volume of business, and those who "scream the loudest." Police fleet managers who

were interviewed attest to this statement. Departments with small fleets might therefore

find it advantageous to join in group buying. Joint efforts and larger orders may result in a somewhat better price or better service, in that the dealer may be willing to accept a

28
lower profit margin or provide additional service on larger volume orders. "Piggybacking" on other departments' orders or group buying can further reduce the total cost

of preparing bid proposals, advertising, receiving and analyzing bids, awarding

contracts, and other managerial expenses.

Cooperative buying may present considerable difficulty in interpersonal and

intergovernment relationships. It is not easy to exercise efficient, large-scale and

centralized buying techni<^ues without abridgement of local department prerogatives,

responsibilities and vehicle requirements. Cooperative buying also can be inefficient if smaller departments purchase more expensive vehicles or more optional equipment than

they actually need. However, some departments and local governments presently claim

savings through group purchasing.^'

Departments can also save on costs of preparing specifications by drawing on the

experience and information available from other departments, including research,

test results, and illustrative specifications. Some large departments—most notably the Los

Angeles Police Department—test vehicles and equipment and share information with

inquiring departments. The National Association of Fleet Administrators maintains a file of

sample specifications, available to member departments. The exchange of police vehicle

procurement information is also a by-product of intergovernmental cooperative

purchasing.

Information exchange might be further and profitably widened through

establishment of a national clearinghouse or reference service. Perhaps an existing

organization already active in the area (such as the National Institute of Governmental

Purchasing or the Law Enforcement Group of the National Association of Fleet

Administrators) could broaden its dissemination of relevant procurement data. Several police fleet administrators who were interviewed suggested that procurement savings might be possible through direct participation by state, county and

city police departments in Federal supply contracts administered by the U.S. General

Services Administration, but this does not appear to be possible under existing Federal

law. However, estabUshment of a national procurement data exchange does seem

possible under Title III of the Intergovernmental Cooperation Act of 1968 (P.L. 90-577):

Permitting Federal Departments and Agencies to Provide Special or Technical

Services to States and Local Units of Governments

.

A source of current car price data for the different car makes is useful to estimate

expected costs of vehicles and parts, and to evaluate bids. Examples are: (1) The AIS

New Car Cost Guide , distributed by the Automotive Invoice Service Company; and, (2) the Unicomp Directory of Used Cars. Some poUce departments seciire price Usts from

dealers or from the manufacturers. The manufacturers also make available annual

vehicle specifications describing available options and features, but generally not prices.

Advance notice of planned design changes is useful for efficient planning and

coordination of vehicle and equipment purchases. Changes in interior configuration may

mean that equipment purchased earlier will not fit later models and will, therefore,

become quickly obsolete. Close contact with manufacturers' representatives may help to avoid this problem.

Conventional procurement practice is to accept bids from local dealers. Many

departments accept strictly the low bid, resulting in the lowest purchase price.

However, departments increasingly have come to realize that the lowest purchase price

may not mean the lowest life cost. One department, through low bid acceptance,

changed to a model which was bid 40 cents below the department's existing vehicle

model, but which necessitated considerable expenditure for new equipment, new parts

inventory, and retraining of mechanics to make the transition.

See, for example. Robert N. Belmonte, County of Bergen. N.J.. "Another Look at Large-Scale Intergovernmental Cooperative Purchasing." Journal of Purchasing , February, 1972. pp. 34-49. 30

/<>u/.,pp. 47^.

29
Some departments believe that low bid acceptance is legally mandatory, regardless

of the overall cost effects, and in some cases this is true. Typically, however,

procurement regulations are written to allow exceptions when low bid acceptance would

be inefficient. A parallel may be drawn between state and loccd procurement practices and

Federal practices. Section 2305(c), Title 10, U.S. Code states, "Award shall be

made. ..to the responsible bidder whose bid. ..will be most advantageous to the United

States, price and other factors considered." In past practice, the word price has been

the chief or only consideration in awarding advertised contracts. This avoids related

protests and complaints, as weU as the need to justify exceptions. With more attention

being given to life cycle costs, the Federal Government appears to be moving away from

this practice.

Timing of Purchase and Resale

The time at which cars are bought and sold affects costs, but the existing views

and practices concerning timing are mixed. For purchase, many departments prefer to wait until late in the model year (e.g., late spring or early summer), believing that they can get better prices when the changeover to new models is imminent, and that the

factory delivered condition of the car is better due to correction of earlier assembly line problems. Other possible reasons for delaying purchase are the low priority given fleet sales by some dealers, and departmental indifference to depreciation due either to a poor incentive structure or to planned use of the vehicle until httle resale value remains.

Depreciation costs under normal conditions do not justify delaying purchase. Cars

depreciate primarily in terms of model years: a car bought at the end of the model year

is assigned a fuU year's depreciation cost at the time of model change-over. This

depreciation is essentially "unused" and raises annual average cost. Therefore, a department which practices relatively quick turnover of its fleet and emphasizes

reduction of depreciation cost should, if possible, buy vehicles early in the model year. Any purchase price differential in early and late buying is likely to be small—particularly

since price increases often occur during the model year. Three main forces in the resale market affect optimal timing of disposition—trend,

cycle, and seasonal variation. The general direction, or trend, of resale values for a given model is, of course, normally downward. This is shown in exhibit 5, which charts

the resale values of a low-price, standard-size car (not a patrol car) from the time of first introduction in the fall of 1969 to late spring of 1973. The car was priced new at $2,930,

sold used for $2,275 at the end of 1970, for $1,875 at the end of 1971, and for $1,425 at the end of 1972.^' The inset of the figure stacks the model years vertically to accentuate

the seasonal pattern. Values appear to dechne most sharply from about November

through March each year, but remain fairly constant from April through the summer

months.

Exhibit 6 shows recent cyclical fluctuations in the used car market, which

appeared generally strong from early 1970 until the third quarter of 1971, but then was

depressed in the fourth quarter of 1971 and early in 1972. Buoyant or depressed markets

could alter the resale value normally expected.

Except for unusually strong aberrations in the used car market, it appears

generally most efficient to purchase new cars and to dispose of old cars as early in the

model year as possible. If delayed until late spring, however, purchase and disposition can usually be further delayed until late summer with little additional depreciation cost. Any further delay tends to result in a large rise in depreciation cost.

NADA Used Car Guide . Easlem Editions. 1970 Plymouth Fury I. 30
ExHIBrr 5. The pattern uf resale values for a hottom-of-the-line, standard size car in private

use.

Exhibit 6. Overall level of used car prices, seasonally adjusted, 1967 to 1973.

$1,100

1,075

1,050

1,025

1,000

975

950

925

900

875

850

AMR MARKET INDEX

BI-WEEKLY AVERAGES

Charted Quarterly

DEPRESSED MARKET

I I I I I I I I I I I I I 1967 1968 1969 1970

SOURCE: Rowley, "Car Selection," p. 19.

1971 1972 1973

Source: Resale values were taken from the 1969-1973 issue of NADA Used Car Guide, Eastern Edition. Resale values are for a 1970 Plymouth Fury I. V-8, CID 318, 4-door, automatic transmission, power steering and brakes, but excluding air

conditioning. NOTE: Dotted line indicates estimated resale values not listed in NADA Used Car Guide.

31
Alternative Methods of Car Disposal

The means of disposing of used vehicles is another factor which influences

depreciation costs. There are essentially two methods of disposing of vehicles in the

open market—by wholesale or retail. (The variety of wholesale and retail disposal

methods are Usted below.) In addition, vehicles may be transferred from the police

department to other governmental units prior to subsequent resale. The following

specific ways of disposing of patrol cars were identified by this study:

(1) Trade-in to new car deeder upon purchase of replacement vehicles.

(2) Sale to a used car dealer.

(3) Consignment to an automobile auction house.

(4) Transfer of vehicles from the poUce fleet to another department of government.

(5) Periodic pubUc police auctions.

(6) Periodic acceptance of sealed bids from the pubUc.

(7) Prearranged sale to employees or private buyers when vehicles are retired.

(8) In the case of leased cars, disposal handled by a leasing company.

Each method has its advantages, disadvantages, and relative appeal depending in part on the model, age, and condition of the car, and in part on the characteristics of the police department and the availability of alternative methods of disposal. In considering the cdternative methods from a cost viewpoint, it should be remembered that

it is the net resale value that counts; that is, it is important to take into account the

selling costs associated with each method, as well as the price received.

Retail sale methods, which omit the middleman, appear to yield highest prices.

Methods 5, 6, and 7 above all may include retail transactions. A comparison of NADA

retail and trade-in prices for four makes and eight popular models showed retail prices

of cars generally to be between $425 and $475 higher than trade-in prices. The City of Atlanta, Georgia, cites "an excellent return" from the annual pubUc auction of its entire

police passenger car Uneup; prior experience with trade-in disposition yielded poor

results.*^ The main disadvantages of retail methods are the higher reconditioning and selling costs which are usucJly involved, and the possible delay in disposal. Since the aim is to seU cars directly to the ultimate buyer, more attention is usually given to detailing or reconditioning the car. Many poUce departments are not equipped to do this as

efficiently as dealers. Methods 5 and 6—police auctions and acceptance of sefded bidsare likely to require storage from time of retirement to time of auction or awarding of the bid, with the attendant storage costs, insurance cost, and unused depreciation.

Advertising will probably be necessary to stimulate consumer interest, and

administrative and management talent will be needed to successfully conduct or oversee

the sale. Of the retail methods, the poUce auction offers the advantage of competitive

bidding, which may raise prices. If the fleet is of sufficient size to enable scheduling of frequent auctions, the problems of storage costs and unused depreciation may not be

serious. Some departments and governmental bodies, such as the Arizona Department

of Pubhc Safety and the City of Seattle, hold regularly scheduled auctions of poHce cars on their own used car lots. This method is most suitable for disposal of cars in relatively

good condition with consumer appeal.

Prearranged seUing to employees or others appears to be feasible ordy for small

fleets. In contrast, acceptance of sealed bids is a fairly simple method of disposal which

is manageable even for large fleets. Its main drawback is the necessity for storage and

making vehicles available for public inspection for a period prior to bid awarding.

Wholesaling—seUing to used car dealers, to wholesalers and brokers, or consigning

to automobile auction houses—offers the advantages of quick side and low selling costs.

M Trager. "Going. Going. Gone'." Commercial Car Journal . June 1972. 114-116. 32
but prices may be lower than attainable through retailing. Wholesfile methods are often

used by departments interested in quick sale with little or no reconditioning. Utility,

service vehicles, and cars in poor condition usually are wholesaled. Some auto wholesalers advertise in trade journsds specifically for poUce vehicles. They buy in quantity, rely on scale economies for low reconditioning cost, and distribute the

reconditioned cars to scattered outlets, thus overcoming in part the problem of selling a

large number of look-alike cars. They sell to other wholesalers, taxi companies, and

private buyers.

Transfer of vehicles from the police fleet to other governmental agencies may be

efficient for the overall government unit and may cilso benefit the police department

directly, if charge-backs are used properly to assign costs and credits. Vehicles which

no longer meet the reliability requirements for police work may nevertheless be

adequate for lesser demands. The Arlington County Virginia Equipment Division, for example, selects suitable retired police cars and reassigns them to other units requiring

transportation, such as the Public Health Office.^ The resulting lower average annual

depreciation costs are passed along to the police department in the form of lower

monthly rental charges. (This approach is efficient overall only if rising maintenance and

repair costs do not more than offset the decline in average depreciation at the time of vehicle transfer. For further explanation, see section 3.5 on replacement policy.) If there

is not a good cost accountability system, the police department itself will probably not

benefit from intragovernmental transfer of vehicles, even though the parent organization

may.

Top disposal prices are usually not obtained through trade-in to dealers. Trade-in

may, however, be used to obtain favorable servicing or special consideration in new car

delivery. In addition, it eliminates the problem of coordinating disposal and new car

delivery and the need for storage, as well as most selling expenses.

Perhaps the most important point to be made with respect to trade-in is that quoted trade-in prices are often deceptive. A high trade-in figure associated with an

inflated new car price may mean that the net new car cost (or net trade-in value) is actually poor. A more valid approach compares trade-in with other means of disposal by

computing the net costs of the two bids received. This can be illustrated with actual

data from a police car sale in a west coast city: A new car dealer offered $15,325.00

trade-in aUowance for nineteen used cars, but the cars were sold retail at auction for $14,436.30. Deducting the advertising costs of $142.38, the net proceeds of $14,293.92 were $1031.08 less than the dealer's offer, an apparently large loss to the city from

selling retail instead of trading-in. A closer and more valid look shows that the city in fact saved $2,400, since the higher trade-in allowance masked a higher bid price on the new replacement vehicles. The effective cost comparison is the following:

Costs Using Trade-in Method of Disposal

Bid on 20 new cars by "X" Motors: $54,970.25

Less Trade-in Allowance on 19 cars by

"X" Motors: 15,325.00

Net Cost: $39,645.25

Costs Using Auction Method of Disposal

Bid on 20 new cars by "Y" Motors: $51,529.00

Auction Sale Price: 14,293.92

Net Cost: $37,235.08

"Special Report: The Growing Lurr of Fleel Leaeing." Business Management .December 1969. pp. 40-44.

Mr. David Carter, Arlington County Virginia Equipment Division, Arlington, Va., interview, 1973.

33
Here the bid price on the same cars from another dealer, without trade-in, was

over $3,000 less than the new car/trade-in package, with a net savings of $2,410.17

possible by buying the new cars and selling the old ones separately.^* Findings regarding

disposal of used police cars can be summarized as follows:

(1) If cars are in relatively good condition, and enough are available to permit

frequent sales, a retail sales method of disposal—preferably an auction if administratively feasible—will Ukely be cost effective.

(2) If cars are in poor condition, or if there otherwise is no good local market, a wholesale method of disposal, such as consignment to an auto auction or sale to used

car dealers or wholesalers, offers a relatively quick method of disposal which avoids

costly storage and built-in depreciation.

(3) With an equitable cost accountability system in effect, transfer of cars to other

departments may be beneficial to poUce departments by reducing annual depreciation

cost.

(4) Although net trade-in prices usually tend to be relatively low, trade-in may

nonetheless appeal to departments without attractive alternatives due to the possible

advantages of preferential service, convenient and timely disposal, and low selling cost. But it should be remembered that quoted trade-in prices are often deceptive, and

attention should be given to the net cost of the new car/trade-in bid.

3.2.3. Lease Vs. Buy

In recent years in commercial organizations there has been a steady trend away

from company-owned and employee-owned^ fleets towards fleet-leased cars, such that the majority of business fleet cars are now leased. Many articles citing the merits of

fleet leasing appear in fleet journals, and leasing is frequently a topic at fleet management seminars and conventions. These developments have not gone unnoticed

by police fleet managers, and many of them wonder whether pohce departments should

switch from purchasing to leasing. This section explores the question of leasing versus

buying.

Leasing Arrangements

Leasing is a method of legcdly obtaining possession and use of assets for a period

of time (usucdly a year or more) without assuming ownership, and generally involves a combination of finance and service. There are three basic types of vehicle lease: (1) the

finance lease, (2) the net lease, and (3) the maintenance lease. The finance lease, which is the most popular lease among business organizations,

provides vehicles but makes no provision for maintenance and operating services. The

lessee controls and pays for all maintenance and operating costs and reimburses the

lessor for any resale loss (or receives any res£de gain) when the vehicle is turned back to the lessor for disposition. The period of lease is flexible, and the monthly payment is expressed as a percentage of the capitalized vedue of the new vehicle. The amount of

payment declines each year as the lessee continues to use the vehicle.

The net lease, Uke the finance lease, makes no provision for maintenance or operating expenses. However, the net lease is generally closed-end in terms of the

period of lease, with no adjustment for variation in actued depreciation. The lessee is required to return vehicles in a condition showing only "normed" wear. The monthly

lease charge is usually a flat dollar amount.

The maintenance lease includes provision for some maintenance by the lessor, the

amount ranging from limited to comprehensive. The cost of this type of lease consists of a charge for the vehicle's use, as is made under the finance lease and the net lease.

Mr. Jamea C. Jones. Equipment Analyst, Transportation Division. City of Pasadena, Calil.. memo transmitted in a letter of April 19, 1973. This is the practice of a few police departments, although the trend is away from this practice. 34
plus a maintenance charge. Its price is therefore higher than the other types of lease

arrangements. The lease may be either closed-end or open-end."

Within these three basic types of leases there are countless possible variations in provisions, as well as alternate names, such as the service lease (same as maintenance

lease), the walkaway lease (same as the net lease), the guaranteed lease (net lease), or the cost-plus lease (finance lease under which the lessor administers maintenance

control for a separate fee). A procedure called "sale-leaseback" does not designate a fourth type of lease, but is simply one way of putting into effect one of the three basic

types of lease listed here. Just what the leasing company contracts to provide to the

lessee can be determined only by a careful reading of the contract in each case. While the finance lease is most prevalent for private enterprise, the maintenance

lease appears to be favored by police departments. The discussion of leasing advantages

and disadvantages will help to explain the police preference for the maintenance lease. A copy of an actual maintenance lease agreement between a medium size city

police department and a local dealer leasing company is presented in appendix B-1. At a glance, this appears to be an agreement for maintenance only and not a leasing

arrangement for use of the car. In fact, it is both. The initial purchase of vehicles by the

city from the leasing company and subsequent repurchase by the leasing company from

the city, as called for in item 7 of the contract, is merely a formality designed to protect

the lessor from ownership liability; no purchase or resale money actually changes

hands.

Under this agreement, vehicles are replaced at 60,000 miles (97,000 km) or 3

years, whichever comes first. (For this department, this arrangement has resulted in an

annual replacement of most of the marked cars and a replacement every 2 or 3 years for unmarked cars.) The lessor contracts to provide general maintenance at 6,000 miles/60

days (10,000 km/60 days); operating repairs, repair parts, tire maintenance and repair,

and washing as required; oil change at every 2,000 miles/60 days (3,000 km/60 days);

and lubrication every 4,000 miles/60 days (6,000 km/60 /iays), all of which is to be

performed weekdays between the hours of 8 a.m. and 5:30 p.m. Wrecker service and

emergency maintenance for tire repair or replacement and breakdown repairs or parts are provided on a 24-hour basis. Contract provisions specify priority service for poHce

vehicles, service to be provided at a place convenient to the police department, and

alternative arrangements to be made by the lessor for contract compUance should a

strike cause the lessor to close down. Not covered under the lease are the following: (1) decaling and installation of special equipment, (2) repair necessitated by accident or other casualty, (3) repair made necessary by driver abuse or failure to follow prescribed

operating instructions, (4) theft or loss, (5) repziir of exempted damage required prior to turning in the vehicle, and (6) gasoline. (The agreement does cover partial

reconditioning, including removal of decals and standard preparation.) Insurance costs

are borne by the lessee. The monthly lease charge is based on a specified rate per mile

for the number of miles driven each month, with a minimum mileage charge quoted.

Additional clauses have been extracted from several other police leasing contracts

to indicate further the kinds of arrangements which are made and how certain problems

generally associated with police leasing are being handled:

(1) "The lessee shall have the option to lease additionsd police cars per year up to a specified maximum."

(2) "The lessor will be responsible for maintenance of the leased vehicles, except

that gasoline, cleaning and washing, speedometer certifications, and edl forms of liability

and comprehensive insurance shedl be the responsibility of the lessee."

Clyde W. Phelps, The Role of Fleet Leasing in Motor Vehicle Fleet Plans of Business Firms, Studies in Commercial Financing, No. 4, Education Division, Commercial Credit Co., Baltimore, Md., 1969, pp. 1-20.

35
(3) "The lessor will maintain a specified number of backup cars in service, on call, both marked and unmarked in a proportionate amount sufficient to immediately replace

leased vehicles. In addition, the lessor will maintain a specified number of cars in inventory."

(4) "SpecijJ police equipment, such as visi-bars, flashing lights, electronic sirens,

speakers, and police radios shall be deemed extra equipment... will be provided by the

lessor at the lessee's request; at prices to be mutually agreed upon."

(5) "To assure faithful performance of its obligations, the lessor wUl assign its contract with the lessee to a federally regulated bank. All payments due by the lessee

will be made directly to the bank. The lessor wUl voluntarily restrict its use of any

money paid into the bank by the lessee for the full term of the contract. The lessor will agree that it will not withdraw the money paid into the bank by the lessee except for the sums necessary to fulfUl its services and maintenance obligations."

(6) "The lessee shall be solely responsible for disposition and retirement of department-owned police vehicles."

(7) [As an alternative to (3) and (6)] "The lessor will purchase from the lessee a

quantity of existing patrol cars to be used as replacement (backup) vehicles."

(8) "The lessor wUl perform maintenance, repairs, and warranty repair in such a way as to keep down-time to an absolute minimum. The repair shop wlU operate on a

3-shift basis, 24 hours a day, from 8 a.m. Monday through 5 p.m. Saturday. During

these hours a specified minimum number of fully qualified mechanics wiU be on duty."

(9) "A sufficient stock of repair and/or replacement parts will be maintained at the

lessor's repair shop to insure an efficient flow of repairs, while maintaining the

minimum down-time concept."

(10) A replacement patrol car will be provided when any car is in the shop for service or repairs."

(11) "The lessee (police department) agrees to furnish legal exemption certificates covering Federcd excise and other taxes to the lessor."

Contracted replacement mileage ranged from a low of replacement every 30,000

miles (48,000 km) to a high of replacement every 60,000 miles (97,000 km), but in most

cases the aim was to replace patrol cars about once a year and other cars about once

every 2 to 3 years. Terms regarding choice of car model and accessories vary, but rates appear

generally more favorable if the lessee selects a car which permits easy disposal by the

lessor, while still meeting poUce requirements.

Rates vary among leasing companies and depend greatly on the specific provisions

of the contract. Sometimes the lessor follows a flexible policy in which he adjusts the

quoted rates upward or downward depending upon the desire of the police department

to assume or relinquish maintenance duties. The lessor may charge by the mile, with or without a minimum mileage requirement; there may be a flat monthly rate, or the

charge may have two components, a flat monthly rate plus a mileage charge.

Advantages and Disadvantages of Leasing

Some poUce administrators who were interviewed asserted that leasing must

always be more expensive than a well-run, in-house operation, since the lessor's profit is added to the basic cost of operating the fleet. This point of view, however, ignores the

possibiUties of economies of scale and economies of speciaUzation. A leasing company

may supply vehicles to a number of departments, thereby operating a combined group of vehicles very much larger than the fleets of any one cUent. Through mass purchasing, a

large leasing company may be able to overcome one of the disadvantages often cited,

i.e., that a private firm cannot buy at the favorable prices extended to state and local government units. Economies of scale may also exist in car disposfil. A large leasing

company may have access to many and different types of resale outlets and a better

36
view of the resale market, permitting it to obtain higher resale values than some police

departments could obtain. Thus, it is quite possible for the depreciation cost included in the monthly lease payment to compare favorably with that which the department would

incur through ownership. Similarly, economies of sc£ile might be realized in more

efficient utilization of maintenance and repair equipment and specialized personnel, and

in use of automated data processing equipment and mass paper handling methods,

thereby reducing overhead cost.

It may also be asserted that acquisition of vehicles by lease must be more costly—

from the standpoint of the drain on the police department's budget—than department

ownership, because the borrowing cost of private firms is normally greater than that of governmental agencies, which may float tax-exempt securities. Apart, however, from

consideration of the true social cost of public borrowing, there are limits to the amount

of funds which government agencies may raise in this way. In addition, restrictions are sometimes placed on the financing of short-life capital assets by issuing securities. Also,

as with a private firm, leasing may improve the working capital position of a public

agency, thereby freeing funds to be used for purchasing other resources or undertaking

other activities which are expected to yield positive net benefits to society.

Another argument sometimes raised against leasing by government agencies is the

absence of special tax advantages which may accrue to private firms which lease. Since

government agencies are tax-exempt, it is true that the same tax considerations which

apply to private fleet decisions do not apply to police fleets. Furthermore, it may be

argued that government sigencies which lease forego the advantage of their tax-exempt

status, which allows them to purchase at a lower price than leasing companies.

However, as we have seen, the government agency may be able to preserve this advantage if it can pass the tax-exemption on to the lessor.^ In addition to cost considerations, there are other reasons why police departments

might find leasing advantageous. One advantage of leasing was cited by several police

departments who leased: the regular streams of contracted payments facilitated budgeting. Less resistance may be encountered from the appropriations body to police

department requests for monthly lease payments than for funds to purchase new and/or

additional cars. One police fleet manager explained that prior to leasing the depsirtment

faced a constant, recurrent struggle to obtain funds for purchasing replacement

vehicles. The fleet was generally old, and failing cars posed constant problems. After

acceptance of a leasing arrangement—with its l-to-2-year replacement clause—little difficulty was experienced in obtaining annual approval of the monthly rental payments.

The average age of the fleet is now much lower and car condition much improved.

Another police department reported an inability to obtain funding for the capital

outlay needed to expand its fleet to meet growing requirements for transportation.

However, it could get sufficient funding to meet the monthly rental charge for additional

vehicles on a leased basis and reported improved vehicle availability under leasing. This same department cited the advantage of greater ease in adjusting the number of vehicles to actual need under leasing.^' Clauses in the lease contract calling for standby

vehicles immediately deliverable from the lessor can achieve this flexibility. A lessor

who serves several departments may be able to maintJiin an adequate backup inventory

at a lower cost than each individual department, since the likelihood that all clients will need emergency replacements at the same time is rather small. Two chief motivating forces were found for the apparent preference of police

departments for the maintenance lease: (1) Maintenance leasing offers to small and

moderate-size departments a possible reduction in maintenance service costs achievable

Wayne K. Armstrong, Chief of Police, Rapid City, S. Dakota, '"Should Your Department Lease Its Police Cars?" FBi Law Enforcement Bulletin . November 1964, p. 12. 39Ibid. .p. 11. 37
through economies of scale of the lessor; and (2) maintenance leasing may offer escape

from an existing poor maintenance arrangement.

The short-term maintenance lease provides a more flexible, less binding

arrangement than is possible through the establishment of an interned maintenance

facility. Some claim that this rationale for leasing is a "cop-out"—an admission of failure by the police department to operate its fleet efficiently, and, doubtlessly, it is an

indication that the existing system is not functioning satisfactorily. However, the roots of the problem may not lie directly within the police department or within its power of

control. If this is the situation, leasing—if leasing is more cost-effective than the existing

system—is preferable to continuing a less efficient operation merely for the sake of having a police- or municipal-owned and serviced fleet. A prevalent objection to leasing is that the police department loses control of its fleet and can no longer assure proper car selection, maintenance, and avaUabUity. It is sometimes asserted that a lessor wUl not provide suitable vehicles, that his maintenance

facilities will be inadequate for the unique and specialized police vehicle, that the

availability of police transportation (and protection) wiU be subject to the whims of the

lessor, and that police cars damaged in riots or other disturbances after 5 p.m. wUl

become unavailable until the following day. However, actual experience with leasing by

pobce departments suggests that most of these problems are exaggerated. The lease

arrangements presented earlier illustrate some of Cne ways departments avoid, or at least greatly reduce, these potential problems. A considerable degree of control and

flexibility with a leased fleet does appear to be possible.

Other objections to leasing and reasons for department ownership which were

given by police fleet managers included the following: (1) Tradition: "this is the way it has always been done"; (2) an ample annual capital equipment budget; (3) the cost and

trouble of making a change in the system; (4) a small expected cost difference between

the alternatives; (5) existing reciprocal community arrangements; and (6) pride of ownership. The first five of these rationales for ownership in themselves make little sense in terms of economic efficiency. Even if a department's budget does allow

purchase, this by itself does not warrant purchase. Pride of ownership is a psychological

motive whose veJue is difficult to assess; but this eJso appears to be a weak argument

for ownership.

In summary, this investigation found no impediments to police fleet leasing which

by nature appear insurmountable. It found several motives for police leasing aside from

possible cost advantage. It appears that leasing could, under certain circumstances,

offer cost advantages not only to small police departments, but to departments of any

size.

Cost Comparison of Leasing and Buying

Lease costs may cover either the cost of providing use of the vehicle (i.e., financing), the cost of any services under contract, or both of these. A wide variety of services may be provided under a maintenance lease contract; hence, quoted costs of the service part of leases vary greatly. It should also be noted that maintenance and

management services may be leased from outside businesses by a department which owns its vehicles, and, conversely, cars may be leased by departments which provide

their own maintenance. Two separate cost decisions must therefore be made: (1) Is it cost-effective to secure vehicles through leasing, and (2) Is it cost-effective to secure maintenance and management services from outside sources? (Attractive terms for a combination lease arrangement may, in practice, encourage a joint decision.) The

approach taken here is to compare the costs of leasing, without provision of services,

with outright purchase, and to compare costs of contracted maintenance with in-house

services.

38
Let us first compare the costs of buying a car outright to obtaining it through a finance lease, which only provides use of the car and not maintenance service. Assume

that the lease is open-ended, thereby requiring the lessee at the end of the contract to insure that the lessor has received payments equalling full depreciation. For purpose of comparison, a present worth model is used to convert the costs of each method of acquisition to a single cost today, with a discount rate of 10 percent.

The cost estimates are computed for a standard-size, middle-of-the-line model,

listing for $4,383 and available for purchase by the police for $135 over dealer price, or

$3,553. In keeping with provisions of the finance type of lease, it is assumed that the

police department must make arrangements for and bear the cost of decaling,

equipping, operating, maintaining, repairing, and reconditioning, regardless of whether

it buys the car or leases it. These costs are therefore identical for both alternatives and

can be neglected here. A 2-year replacement cycle is assumed,*" and the assumed

depreciation rate is that estimated earlier for State Police. For simplicity, all costs which would be equal or nearly equal for the alternatives are omitted from the analysis

since they would not alter the choice. The cost estimates are presented in table 17. The comparison shows the estimated present value of the cost of acquiring a car by purchasing to be $164 less than the cost of leasing it. However, the extra cost of

leasing is not nearly as great as would be expected by comparing the totfj monthly lease

charges and depreciation reimbursement (undiscounted) with the purchase price less resale value.

The cost estimates shown are, of course, based on a particular set of values; the

outcome would vary depending on inputs. However, to change the direction of the

difference, the monthly lease charge would have to be reduced or the department's

purchase price increased. Contacts with severed leasing companies provided estimates of a monthly lease charge for a car of the type and price described quite close to that used

in the example.

According to one leasing company representative, quantity discounts on leasing

charges are sometimes offered, perhaps $5 per car per month for leasing 10 to 49 cars, and $10 discounts for leasing 50 or more cars.*' Thus, increasing the number of cars leased might reduce the monthly lease charge from the illustrative $118 to, perhaps,

$110 per car. By like token, the police department might also obtain lower purchase prices with

larger orders, so that increasing the size of the fleet might not change the relative cost

difference. Similarly, increasing the estimated resale value will reduce the costs of both

alternatives by a comparable amount; thus, the analysis does not appear to be very

sensitive to assumptions regarding resale value.

An alternative to the full-time lease (treated above) is short-term rental. This may

also be compared with ownership. For those vehicles whose workload is irregular, short- term rental offers the possibility of avoiding part of the fixed cost otherwise incurred

while the vehicle is not in use, e.g., insurance, depreciation, and storage. For functions

requiring incognito vehicles, short-term rental cars avoid the costs of frequent buying

and selling or reduce the tie-up of capital otherwise required for a sufficiently diverse

undercover fleet. In these cases, the problem is to determine the critical or breakeven

level of use, at which the cost of owning each vehicle is equal to the cost of renting.

A simple method for approximating the critical level of utilization for each vehicle

is based on the following relationship: The critical level of utilization is equal to the ratio of the annual cost of vehicle ownership to the annual cost of full-time renting.*^ For

40The following leasing periods for different mileage rates were suggested by a leasing company manager; 50,000+ miles/year (80,000+ km/year),

1-year lease; 20,000-49,999 miles/year (32,000-80.000 km/year), 2-year lease; 0-19.000 miles/year (0-32.000 km/year). 3-year lease. Mr. Nalhenson. Manager. Leaaeplans Development Corp., interview, March 1973.

41 Leasing manager of a local leasing company, interview. March 1973.

42 A. A. Britlen. Decision Making in Vehicle Management , Report No. S.15, Local Government Operational Research Unit (LGORU). Royal

Institute of Police Administration. Reading. England. 1971, p. 10. 39
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40
example, if ownership costs are estimated to be $3,000 per year and the rental cost for the vehicle for 1 year is $4,000, then it is cheaper to buy if the vehicle is to be used more than 75 percent of the time; other^vise, renting whenever the vehicle is needed is cheaper.

Now let us consider the major item on the service side of leasing—that is, maintenance. Other things equal, how does the cost of providing maintenance through an in-house operation compare with contracting-out maintenance, either through a lease

agreement or through separate arrangements with private vendors?"*"' Table 18 provides an estimate of in-house garage staff requirements and related

annual labor cost for different fleet sizes. The number of service people and their cost are estimated in a series of five steps:

(1) The number of patrol cars in the fleet is multiplied by the average annual

mileage per car [here assumed to be 35,000 mUes (56,000 km)] to get total annual fleet mileage.

(2) Fleet mileage is multiplied by estimated labor hours per mUe to derive labor

hours directly chargeable to vehicle maintenance.

(3) The number of labor hours is divided by 1920, the estimated number of labor

hours available per year per garage staff person, to arrive at the number of service

people required for vehicle maintenance at 100 percent manpower utilization.

(4) This number is then increased by 20 percent, to take into account labor time

not directly chargeable to vehicle repair, such as coffee breaks, and unevenness in the

flow of work into the shop. The resulting figures, rounded, are rough estimates of total garage staff requirements.

(5) Annual labor cost is calculated by multiplying the number of garage workers by

the average annual salary, which in turn equals the number of labor hours per person

per year times the average hourly wage rate. Annual labor costs are shown for three

alternative wage rates—$5 per hour, $8 per hour, and $10 per hour.

The estimates of labor hour requirements, on a per mile basis, are based on the

average experience of a sample of police departments in 29 cities, whose average was

0.0034 hours per mile (0.002 hours per km). Use of this figure unadjusted for fleet size resulted in reasonable estimates for small-to-moderate-size fleets, but appeared to yield

overestimates for large fleets. Informal discussions with police fleet administrators

suggested that, due to economies of scale, staff requirements probably increase at a decreasing rate as fleet size increases, rather than linearly. Accordingly, the estimate of average labor hours per mile was adjusted downward at a 10 percent rate for each

incremental 100 vehicles after the first 100 vehicles. (See footnote b, table 18, for a

fuller explanation.)

Operating conditions reflected by the maintenance and repair experience of the 29

cities from which the average labor hours/mile figure was a mixture of congested in-city

driving, suburban driving, and freeway driving. Thus, the estimated labor-hours-per-mile

factors should be representative for most small to large cities, but may be somewhat low

for very large city departments whose driving conditions are more severe than those in the sample cities, and somewhat high for most state highway patrols which, on the average, incur their mileage with fewer engine hours of use than city departments.

Clearly there are a number of reasons why garage staffing requirements might vary

considerably among departments. To test the conclusions for sensitivity to the particular

set of assumptions employed in the analysis, the estimated costs of manpower and other

factors are varied in the final cost comparisons at the end of this section.

Table 19 shows the procedure used to estimate the cost of equipping a police garage. The requirements for some items of equipment are expressed as a function of

total garage staff, while others are expressed as a function of fleet mileage. The size of the garage staff (N) is, however, itself based on mileage (M).

4.1 Appendix B-2 provides an illustration of arrangements for contracting-out inaintenance to private garages. 41
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43
Table 19. Estimation of equipment cost

Equipment requirements and cost for Method of estimating no. 100 vehicles/3.5 million miles Equipment (E) Price (P)* units (U) required (5.6 million km)/7 garage attendents No. units Cost

A. Equipment, prices, and quantity estimating procedures^

1. Life-hydraulic $ 730 Ui=l-5N, N even; 1.5N + .5, N odd 11 $ 8,030

2. Air compressor 890 U2=1+[N-1]. 1 890

3. Automatic transmission 10

tester 140 2 280

4. Alternator-regulator tester 150 2 300

5. Brake pedal adjustment gate 37 U3=l-t-[N-l] 2 74

6. Headlight aiming kit 109 6 2 218

7. Hydraulic floor jack 180 2 360

8. Storage cabinets 67 2 134

9. RoU-about vacuum cleaner 115 2 230

10. Exhaust emission analyzer 660 1 660

11. Battery cell analyzer 36 1 36

12. Battery charger 129 U^=1+[N-1] 1 129

13. Battery tester 58 12 1 58

14. Gasoline tanker 265 1 265

15. Basic tool kit 237 7 1,659

16. Tool stand 37 7 259

17. Work bench 40 U,=N 7 280

18. Mechanic's vise 52 7 364

19. Impact wrench 139 3 417

20. Belt tension gage 17 U,=l [N-1] 3 51

21. RoU-about oil tank 130

3 U 7=2-^2 [N-1] 2 260

12

22. Ceiling reel lub set 1,766 U,=N-[N/4] 6 10,596

23. Drum racks 1 o 4 76 12 [M-1]

24. Oil drain tank 94 U,„=l-^- 2,880,000 2 188

25. Total performance scope [M-1]

analyzer 2,480 U,,=H- 6,480,000 1 2,480

26. Hi-compression tester 48 1 48

27. Alignment rack 3,760 1 3,760

28. Alignment accessory [M-1]

package 266 U,2=l-^ 10,800,000 1 226

29. Tire changer 450 1 450

30. Mechanical wheel balancer 692 [M-1] 1 692

31. Brake shoe adjustment guide 10 U„=14- 12,960,000 1 10

32. Diaphram brake bleeder 84 1 84

Total equipment cost for 100 vehicle garage = $33,564

Cosl of equipment does not include installation cost. The list of equipment, equipment prices and the general approach to estimating quantity of equiptnent are based on descriptions in Ludwig, Study of Police Pairol Vehicle , March 1970, pp. 161-168. Logical relationship between equipment, fleet mileage, and mechanics, described in Ludwig's

study are expressed here in estimating equations.

44
Table 19.—Continued

B. Estimation equation^

Total equipment cost = P, (1.5N, + .5 if N is odd) + P

30 + S P, i=27

/ [M-l] \ 32 / [M-1] \

I ^ 10,800,000 1

i = 3il 12,960,000y

P,2(N-N/4])

Where

P = equipment price and subscripts indicate tjje particular items of equipment

N = number of service people

M = number of mUes incurred by the fleet in 1 yeju-

[ ] = largest integer not exceeding quantity in brackets. C. Estimated costs

Number of Total annual Equipment

vehicles mileage cost

1 35,000 $ 14,764 $ 2,845* 10 350,000 14,764 2,845 25 875,000 17,626 7,113' 50 1,750,000 22,470 14,225 100 3,500,000 33,564 200 7,000,000 61,954 500 17,500,000 139,666

1,000 35,000,000 196,014

1,500 52,500,000 251,638

2,000 70,000,000 278,688

N = Number of garage service people, as estimated in table 18, M= patrol car mileage as estimated in table 18. and [] indicates the largest integer

not exceeding the quantity in brackets. ^The lower cost figure is for a more modest selection of equipment as described below in the text. For fleets up to 50 cars, the cost of a more modest package of equipment is assumed to be equal to (the number of vehicles — 10)x$2.845. For

fleets exceeding 50 cars, il is assumed that the modest selection of equipment is inadequate and the more extensive package of equipment is required.

45
The equipment items shown were suggested in a recent study as necessary to perform in-house fleet maintenance."" Equipment selection assumes that only routine

maintenance and repair is done; extensive repair work is not included. Thus, the

equipment cost estimate may be somewhat inconsistent with the estimates for labor

cost, which encompasses accident repiur, modification, equipping, and reconditioning

work, but not seriously so. The equation at the end of table 19 is used to estimate total equipment cost. The

prices of each item of equipment are multiplied by the expression which estimates the

number of units of the equipment needed, yielding the equipment cost associated with a given fleet mileage.

Although the Ust of equipment presented in table 19 excludes highly speciahzed

equipment necessary for some kinds of vehicle repair, the list is perhaps nonetheless

extravagant for a small operation. A more modest selection of equipment might suffice

for small gaiages. According to one authority, the following items would essentially meet

the basic requirements of a small operation.**

Lift $730

Air compressor 890

Tire changer, manual 175

Work bench with vise 100

Mechanics tools 500

Lube equipment, air operated, portable 250

Miscellaneous items,

e.g., drop lights,

air hose 200

Total cost $2,845

The totcil cost of this group, assuming one unit each, and expressed in 1973 prices,

is $2,845, compared with a cost of $14,764 for the smallest package of equipment

estimated in table 19. Determination of the most efficient type and quantity of equipment depends on trade-offs between labor and equipment and assessment of benefits of various kinds of equipment; e.g., whether a power or a manual tire changer

is more efficient, and whether each bay should be equipped with tools rather than

sharing tools among bays. In-depth study of optimal equipment/labor combinations was

not intended here, hence the estimates shown are approximate and tentative. The cost of parts needed to maintain and repair vehicles is estimated in table 20,

using an approach similar to that for assessing labor hours per mile. The average cost of parts per mile was calculated for the sample of 29 cities operating more than 1,100

patrol cars. For the initial 99 vehicles/3,465,000 miles (5.6 million km), the resulting

average cost per mile of $0.0206 was multiplied by total fleet mileage to yield annual

cost of parts required for fleet maintenance. To reflect the possibility of achieving price

reductions through quantity discounts, the average cost of $0.0206 was reduced at a rate

of 10 percent for every additional 500 vehicles in excess of 99, and the resulting

estimate of parts cost per mile was appHed to total mileage for the particular fleet size. The estimated cost of parts may appear high at first glance; however, it includes

the cost of tires, an item incorporated in the sample cost data which was used to derive

the estimates. For instance, if four tires are replaced on an average of every 9,000 miles

(14,000 km) at a cost of $78 for the four, (this figure is based on a conservative estimate

of police expenditure for tires in 1973) tire cost alone accounts for $234 of the estimated

Herbert C. Ludwig, Sludy of the Police Patrol Vehicle . Report to the Law Enforcement Assistance Administration, Detroit, Mich.: Wayne State

University, College of Engineering, March 1970, pp. 164-165.

45 William Cook, Interstate Equipment Company, interview, June 1973. 46
Tablf. 20. Estimation of the annual cost oj parts

(In 1973 doUars)

Number of vehicles Total mileage Estimated parts and tire cost

'

(1) (2) (3)

1 35,000 721 10 350,000 7,210 25 875,000 18,025 50 36 050

100 3,500,000 64,750 200 7,000,000 129,500 500 17,500,000 292,250

1,000 35,000,000 525,000

1,500 52,500,000 708,750

2,000 70,000,000 854,000

An average parts cost per mile was derived in a manner similar to the method of estimating average labor hours per mile (see table 18. {ot)tnote

b). Parts cost for the sample of 29 city police departments, operating more than 1,100 patrol cars, was found to average $48,491 per month over an

average of 2..^6 million miles (3.78 million km), resulting in an average parts cost per mile of $.0206. Because this cost per mile of parts is based on

the average experience of relatively modest-size fleets, it was felt that the figure might tend to be higher than would be typical for larger fleets, which might obtain quantity discounts. Hence, to calculate tola! parts c-osl the $.0206 per mile average cost was reduced at a rate of lO'^'r. for every

additional 500 vehicles/17.500.000 miles (28 million km) after the first 99 vehicles/3.46S.000 miles (5.54 million km) and the resulting cost per mile was multiplied by total mileage for that fleet size. The following schedule of parts costs per mile was used; for 1 through 99 vehicles. $.0206; for 100 to 499 vehicles, $.0185; for 500 to 999, $.0167; for 1,000 to 1,499, $.0150; for 1,500 to 1,999, $.01.15; for 2.000 and over, $.0122. Pans cost for a

fleet of up to 99 cars is estimated, for example, as 99 X 35,000 x .0206; cost for a fleet of 1,000 is estimated as 1,000 X .35,000 x .0150. NOTE; Tire cost and parts for accident repairs are included in the total parts cost. The cost for carrying parts inventory is not inclu<led,

$721 (from col. 3, table 20) expenditure over 35,000 miles (56,000 km). Considering that accident repairs are also included in the estimation of parts cost per mile, the parts cost estimate is probably reasonable.

Garage building costs are estimated in table 21. Building area is based on the

number of bays or service areas^one bay for each lift—and the number of alignment

racks and storage areas required. Square footage cost is based on the national average

for a good quality, masonry service center. In addition to the costs of garage equipment, facilities, and staffing, an in-house

operation requires more administrative and clerical personnel than are needed for a contract-out operation. The difference in administrative costs of alternatives will, of course, depend upon the degree to which fleet responsibility is delegated. Under a full- service maintenance lease, there will be very little requirement for in-house

administrative personnel. For a small-to-medium-size fleet, one part-time employee can

probably handle the fleet duties of the lessee. If cars are purchased and maintenance is arranged with a number of private vendors, there will be somewhat greater need for a

fleet administrator and clerical staff to negotiate with vendors, to ensure that the cars

receive proper care, to monitor private vendor work, and to keep fleet records. For an

in-house operation, the following administrative and clerical personnel have been

suggested by one authority:'**

Ass't. Total

Fleet fleet Steno- Total estimated Number of cars manager manager Clerk typist number annual cost

100-299 1 1 2 $17,000

300-599 1 1 1 3 23,000

600-999 1 1 1 1 4 30,000

1000-1999 1 1 1 2 5 36,000

2000-3000 1 1 2 1 5 39,000

Botzow, Fleet Management 133. 47
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48
These suggested costs for administrative personnel are entered into the estimates

given in table 22 for in-house maintenance costs. The estimate of administrative

personnel given above for a fleet of 100-299 cars is assumed to apply also for as few as 50 cars. For 25-49 cars, the cost estimate is reduced by one-half and for less than 25

cars, it is reduced by two-thirds. (At the reduced levels it is assumed that assigned

personnel devote only part-time attention to fleet administration.)

There are additional costs which may be incurred with an in-house operation.

These include the costs of office equipment and supplies, data processing equipment

and personnel, and parts inventory holding cost, but estimates of these additional cost items are not included in the analysis.

Table 22 consolidates the estimates of cost for providing in-house maintenance and

shows the equivalent annualized cost for selected fleet sizes. Notice the very large

estimated cost of operating a single vehicle—the costs of building, equipment, parts, and

labor are not divisible beyond a certain minimum. Note also that reducing the garage

equipment to the minimal package has little effect on the annualized cost. Table 23 presents a rough estimate of the cost of contracting out maintenance. It

is assumed that parts costs are the same as for the in-house operation (including tire cost here, too) and that overhead and profit mark-up are subsumed in the labor charge.

A range of $10 to $15 was suggested as typical of rates in private garages. Costs are based on a linear relationship between fleet size and required hours of contract maintenance. The labor charge is in this case, applied only to directly allocated labor

hours.

Exhibit 7 charts the estimated costs of self-maintenance and contract-maintenance

for fleet sizes of up to 150 vehicles and 5,250,000 miles (8.4 million km). The breakeven

point—that fleet size/mileage at which the two alternatives are equal in cost—comes at approximately 90 vehicles/3,150,000 miles (5 million km), at a cost of about $200,000.

With smaller fleets/lower mileage, contract-maintenance appears cheaper; with larger

fleets, self-maintenance appears cheaper. This outcome, however, is based on the

specific assumption of a police shop wage rate of $8 per hour and an outside charge of $12 per hour."' Let us consider the effect if there is a greatei differential between wage rates. Assume the police shop labor rate is about $5 per hour, and the private garage rate about $15. Other things as before, the annual cost of ownership is lowered relative to the annual contract cost. Only for fleet sizes comprising about 10 or fewer vehicles is contracting-out now more economical than ownership.

The analysis is not very sensitive to variations in assumptions regarding equipment

and building expenditure, since these costs are amortized over a relatively long period of time. It may be seen in row 1 of table 22 that an original expenditure of $14,764 on

equipment, shown annualized in column 3 as $2,311, adds less than $2,000 more in annualized cost than does an original equipment expenditure of $2,845, shown

annualized in column 4 as $445.

The outcome of the cost comparison might be altered by inclusion of additional cost elements for either alternative. For ownership, the cost of land for the service

facility, the cost of holding parts inventory, and expenditure on computer services and

other support facilities would increase annual costs. In the case of contract arrangements, the cost of transporting vehicles to the place of servicing, assuming this

is greater than what would be incurred in an in-house operation, as well as the cost of an in-house administrative and clerical staff to administer contract arrangements would

raise the annual cost. Another point to remember in comparing costs of lease-versus-buy alternatives is that, typically, not all maintenance and repair work is covered by the lease, so that the

Due lo reviHionB made in tables 22 and 23 and in exhibit 7 after publication of the summai^ report, there are slight disrrcpancies between this, the fuU report, and the earlier summary report. 49
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51
Exhibit 7. In-house os. contracting-out maintenance: The breakeven

point.

real alternatives to the department are ownership versus a combination of leasing and

ownership, rather than the all-or-nothing choices treated above. If the lease requires that

part of the maintenance be performed in house, the cost of that in-house maintenance

should be added to the cost of the lease in comparing costs of leasing with ownership.

Alternatively, all costs which will be borne, regardless of the choice made, can be

deducted from both alternatives for purpose of comparison.

As a case in point, a city police department, which now leases 23 cars, was

charged 6.9^ per mile (4.1^ per km) in 1973 for unair-conditioned cars and 7.6^5 per mile

(4.6^ per km) for air-conditioned cars, with a minimum fleet mileage stipulation of 600,000 miles (970,000 km) per year. Last year the fleet toteded about 652,000 mUes

(about 1 million km) and paid approximately $45,000 in annual lease payments. This was

not the total cost of the fleet, since the lease agreement did not cover equipping and

decaling of cars; accident repairs, repairs necessitated by driver abuse, or failure to follow prescribed operating instructions; maintenance and repair of special equipment;

theft or loss; final reconditioning; gasoline; or insurance. Additional expenditures over

the year totaled $8,100 for gasoline; $10,000 for maintenance and repair covered by

neither the lease contract nor insurance; $7,400 for collision insurance (net of insurance

awards); and $5,000 for part-time administrative and clerical services. Adding these to !he per mile charge raises the total cost of leasing from $45,000 to $75,000, and from

6.9^ per mile to 11.6^ per mile (4.1^ to 7.0^ per km). In comparing leasing with

ownership/self-maintenance, the relevant comparison is between this total expenditure

of $75,000 and the estimated total cost of a completely in-house operation.

Finally, a question should be addressed which may otherwise trouble the reader.

The lease-buy analysis presented above assumes that the department is starting fresh,

with no sunk cost. But, in fact, most police departments now own their fleets and

52
maintain them in police shops, and have already invested heavily in vehicles, equipment

and facilities. The kinds of decisions faced by most fleet managers are: (1) Whether to provide new required services by making additions to existing in-house facilities or by

contracting out; (2) when to change some portion of existing service arrangement in response to a change in the fleet, (as an example, determining the point at which a growing fleet warrants the addition of an in-house radio repair specialty shop to replace

the existing practice of sending radios out for repair); and, in some cases, (3) whether to continue to own and self-maintain vehicles or to change to leasing vehicles and/or

contracting out maintenance.

The first kind of decision is a counterpart to the lease-buy question just addressed,

but on a smaller scale. The procedure for analyzing it is identical to that used above.

The other two kinds of decisions are also quite similar except they require a comparison of the cost of the existing mode of operation with the cost of the new

alternative, rather than a comparison of two new alternatives. The important point is that the cost of the existing operation shoidd include the opportunity cost of keeping

existing capited assets. The estimated value of existing assets should be treated as a cost

of continuing the existing mode of operation because, to the extent that they have a market value, an opportunity cost is associated with keeping them. If the market value

of existing garage and equipment is, say $40,000, the estimated salvage value in 5 years

is $24,000, and an additional investment of $5,000 in equipment is needed in order to continue the in-house operation, then the present value (PV) of the relevant building and

equipment costs, for 5 more years of operation, may be cedculated as follows: PVe = M + N - S = $40,000 + $5,000 - $24,000 (SPW; 5 years; 10%) = $45,000 - $14,902 = $30,098,

where

PVj; = Present value of the capital costs of continuing the existing maintenance

operation for 5 more years, M = Current market value of the existing garage and equipment,

N = Current cost of additional equipment purchase,

S = Present value of the expected salvage value of the garage and equipment in 5 years; i.e., the expected resale Vcdue 5 years hence, discounted to the present

at a discount rate of 10 percent.

Thus, the lease-buy anzdysis presented in the text is relevant to decision makers

who are choosing between continuing ownership and leasing, even though the

department has existing assets. The cost of continuing ownership simply reflects the

market value of existing assets, rather than original purchase price.

The main findings of the two parts of the lease-buy analysis may be summarized

and synthesized as follows: Apart from special motives for the financing of vehicle

acquisition through leasing—such as to implement a more regular and frequent

replacement policy or to free funds for alternative purposes having a higher expected

rate of return—there appears to be no general cost advantage to police departments from

the finance aspect of leasing vehicles for full-time use. However, there is a potential for savings through short-term rental of vehicles with low utilization. Contracting for maintenance and other services does appear to offer cost savings to very small

departments and, dependent on relative wage rates, may offer savings to fleets of as many as 100 vehicles. In face of problems with existing operations, contract- maintenance may be preferable to self-maintenance even for very large fleets. Maintenance and management services can be acquired apart from a vehicle lease, but

a combined finance/maintenance lease arrangement may provide a convenient package

53
of finance and service which enables reductions in in-house administrative and record

keeping cost. Hence, a maintenance lease may be an efficient means of contracting out maintenance, even though the finance aspect of the lease in itself may offer no

particular advantage over ownership.

3.3. Operating and Maintenance Costs

The main components of running costs are gasoline, oil, tires, and maintenance

and repair expenses. Most of these expenses occur daily and vary with mileage, and so they often receive predominant attention in fleet expense control programs. This section

discusses operating and maintenance costs, presents some empirical data, and attempts

to show ways by which these costs may be reduced.

Reported operating and maintenance costs vary significantly among departments,

due not only to differences in accounting practices, but also to differences in labor wage

rates, driving conditions, and relative efficiencies. Consequently, comparison of costs among departments can be misleading; it is difficult to determine when costs are

indicative of an efficient operation. Emphasis in the empirical analysis is therefore

placed on comparisons of cost items within individual departments or groups of departments, rather than on comparisons between departments. The data should be

regarded only as the reported experience of sample groups, not necessarily

representative of all departments, and not necessarily optimal.

3.3.1. Operating and Maintenance Costs for Patrol Cars of Different Sizes

Table 24 shows reported operating and maintenance costs for patrol cars of different sizes averaged for 29 cities. Table 25 shows, for purpose of reference,

operating and maintenance costs for private automobiles and fleet cars of different sizes. Both operating and maintenance costs of private and fleet cars increase with car size. A

small subcompact-size car in private use is shown to cost about one-half cent per mile

less in maintenance cost and shghtly over a half-cent per mile less in operating cost than

a larger, standard-size car.

Table 24. Operating and maintenance costs by size of police patrol car

Total operating Miles per gallon Miles per quart Operating Maintenance and maintenance Type of car of gasoline of oil costs * costs ^ cost

(«(/mUe) («f/mile) («(/mUe)

Luxury-Size

(>122 wheelbase) 7.9 924 2.7 3.2 5.9 Standard-Size

(118"- 122" wheelbase) 7.9 1,144 2.5 3.4 5.9 IntermediateSize (<118"

wheelbase) 8.7 2,182 1.7 4.0 5.7

1^Operating coals iticlude gas and oil, and do not reflect the recent large line prices. Maintenance costs include labor and parts for preventive maintenance and normal repair as well as lire expense SOURCE: Data ane based on a sample of police il ars of various makes and 4 model years (197().197.1). operated in 29 cities whose labor rale a> $7,75 per hour. Computer print-outs of data were provided by Mainstem . Inc.

54
Table 25. Operating amd maintenance costs of private and

fleet cars , by size of car

Cost per mile (in cents)

Maintenance,

accessories,

parts and tires Gas and oil, excluding taxes Total

A. Private Cars

'

Standard-Size Compact-size

(approximately the same as "Intermediate" in table 24) Subcompact size (No comparable police class shown in table 24)

B. Fleet Cars'

Full-size cars

Station wagons

Intermediates

2.6

2.2

2.1

1.8

4.7

4.0

2.1 1.4 3.5 Cost per car per month (in dollars)

$218.83

237.73

199.86

1^Costs of private cars are from "Cost of Operating an Automobile," U.S. Department of Transportation. Washington, D.C., CPO, ApriJ 1972. These tlata are taken from a cost study of a large commercial fleet. No reference to mileage or time in service of the cars was given. (Letter Attachment to Rowley, Car Selection , {torn Bill Wise, Vice President/Sales, McCuUagh Leasing, Inc., Roseville, Michigan). NOTE; These data are not strictly comparable with the police car data shown in table 24; however they do indicate how the costs of the different

sizes of cars compare in police, private and fleet use.

As shown in table 24, the sample cities reported a similar, though slightly larger, excess in the operating cost of the larger patrol cars over the smaller ones. However,

the reported relationship between car size and maintenance cost for patrol cars appears

to be just the reverse of that shown for private and fleet cars: There is less maintenance

and repair cost per mile for the larger-size patrol car than for the standard-size car, and

less for the standard-size than the intermediate. It may be that police work places

demands on the patrol vehicle which tend to increase maintenance and repair cost of a

smaller car relative to a large car. However, it is impossible to know to what extent the

differences reflect reporting errors, biases in the distribution of cars by size among the

sample departments, and differences in usage, rather than size alone. Despite this discrepancy in maintenance costs, intermediate-size cars appear less expensive overall to run than larger cars. The advantage, however, appears substantially

less than would be suggested by the experience of private cars.

55
3.3.2. Operating and Maintenance Costs by Type of Expenditure, and as a

Function of Driving Environment, Usage Rate, and Mileage

Table 26 shows life-time operating and maintenance costs for a sample of state highway patrol cars purchased in 1970 and disposed of in 1972. Average expenditure per

car for each category of expenses, as well as the cents per mUe costs are shown.

Gasoline and oil accounted for just over $2,000, or 55 percent of total operating

and maintenance costs. Maintenance accounted for almost $1,650, the remaining 45

percent of total costs. This contrasts with the ratio of operating-to-maintenance cost for the sample group of city departments, shown in table 24 where operating cost accounted

for 42 percent of the total, and maintenance cost for 58 percent. Over the life of the

average state patrol car in the sample, major engine overhaul or replacement was the

highest maintenance expense, initial installation and final removal of equipment ranked

next in size, followed by tire expense, and maintenance and repair cost on the battery,

cable, alternator, ignition and starter systems. Over the hfe of these patrol cars, $3,660 was spent on average for the operating costs and repair work performed.

Table 27 furnishes a breakdown of the type of maintenance cost and the mileage

interval of occurrence for a sample of city patrol cars. Here we can see an increase in maintenance cost per mile as a car accumulates mileage, rising from an average of 2.56^

per mile (1.5^/km) for new cars, to 4.60^ per mile (2.8^/km) after 60,000 miles (97,000

km). Cents-per-mile costs are also computed for a subtotal of mechanical components,

which appear more clearly variable in nature. This relationship between maintenance

Table 26. Operating and maintenance costs by type of expenditure

,

over the life of a sample of State highway patrol cars

Average cost stated in

Type of expenditure

Average cost per

car over its life

cents per mile over vehicle life

($) Wmi.)

Gasoline 2004 3.30

Oil, engine oU change, oil fuel filter. transmission fluid, and other lub. 15 0.02 Fan belt hoses, water pump, radiator, and

other engine cooling 38 0.06

Battery or cable, cJtemator system, ignition system, and starter system 144 0.23 Front-end align and repair, shocks, other

rear suspension, ball joints, steering link 40 0.06 New tire and tubes, tire repciir and other

tire related 230 0.37 Speedometer and calibration 28 0.04 Brake system and fluid, trans-clutch 44 0.07 Air conditioner and heater 50 0.08 Other "normal" repairs (drive belts, exhaust

system, hydraulic system) 49 0.08 Engine overhaul or replacement 649 1.07

Install and remove equipment^ 295 0.48 Fees and towing 32 0.05 Wash' 42 0.06

Total, gas and oil $2019 3.33

Total, tire, wash, and maintenance $1641 2.70

Total, all $3660 6.03

1^The sample was composed o( eleven 1970 model Highway Patrol cars. Expression of ihese cost items in terms of cents per-mile is done for c.

operated an average of 60,630 i invenience and is not meant tomiles (97,000 km) before replacement,

indicate variability in terms of mileage.

56
Table 27. Maintenance cost for a sample of city patrol cars by type of

expenditure and mileage interval of occurrence'

(0/mile)

Mileage interval

0 10,000 20,000 30,000 40,000 50,000 60,000

to to to to to to and Type of service lO.OOO 20,000 30,000 40,000 50,000 60,000 over

Instrument gauge 0.01 0.01 0.01 0.01 0 01 0 01 0.01 Axle, front, nondriven 0.01 0.01 0.01 0 01 0 01 0.02

Axle, rear, nondriven 3 — — — • * Brakes—major repair 0.07 0.13 0.29 0.27 0 27 0 29 0.31 Brakes—minor repair 0.02 0.04 0.06 0.03 0 05 0 06 0.04 Frame 0.01 0.01 0.01 0.01 0 01 0 02 0.04 Steering 0.05 0.05 0.07 0.09 0 12 0 10 0. 19 Suspension U.U / 0.08 0.13 0.12 0 15 0 15 U. lo Wheel rims, hubs, bearings 0.02 0.02 0.03 0.03 0 04 0 04 0.03 Axle drive, front Axle drive, rear U.Ul U.Ui n no U.UZ U.Ui AU

ATUl Au

AlUl U.UO dlutch major repair U.Ul Clutch—minor repair Drive shafts U.Ul A AT U.Ul AU

ATUl AuAO A f\A U.U4 Power take off Transmission major repair u.uo u.uo U. iU A 1 Q U. lo AU lo Au ol A Transmission minor repair u.uz U.U4 U.Uo A A7 U.U/ AU

A#; UO AU

AC^ Uo AU.UoAQ

1.1 mn1 OliSllLlSSlulI cini Gcir^n—dQiiviliai'v 11 Alt! cix Y Charge system 0.07 0.11 0.17 0.16 0 16 0 14 0.21 Cranking and battery system 0.08 0.10 0.14 0.17 0 18 0 19 0.21

Ignition 0.12 0.20 0.23 0.27 0 30 0 32 0.30

Lighting 0.14 0.09 0.11 0.13 0 12 0 11 0.12 Air intake 0.01 0.01 0 01 •0 01 0.01 Cooling 0.05 0.05 0.09 0.01 0 15 0 14 0.17 Exhaust 0.06 0.05 0.06 0.08 0 08 0 10 0.09 Fuel 0.03 0.05 0.06 0.09 0 10 0 10 0.11 Powei^major repair 0.03 0.06 0.22 0.22 0 27 0 25 0.41 Power—minor repair 0.08 0.13 0.18 0.18 0 16 0 22 0.15

Siih-total^ 1.01 1.29 1.99 2.20 2 41 2 71 3.07 Lubrication 0.04 0.03 0.03 0.03 0 04 0 04 0.01 Preventive maintenance 0.41 0.37 0.34 0.29 0 32 0 32 0.35 Accessories and expendable items 0.21 0. 10 0. 11 0.11 0 12 0 13 0. 15 Power tailgate Radio equipment 0.04 0.02 0.01 0.02 0 01 0 03 0.04 Winch and vehicle coupling system

Air conditioning/heating/vent 0.05 0.07 0.08 0.11 0 14 0 15 0.11 Cab/sheet metal 0.05 0.08 0.05 O.M 0 05 0 05 0.05

Tires 0.41 0.44 0.51 0.58 0 59 0 55 0.50 Body and door 0.15 0.18 0.19 0.16 0 30 0 18 0.16 Clean and peiint 0.07 0.07 0.05 0.01 0 01 0 02 0.03

Tov»ring and other 0.10 0.09 0.08 0.09 0 09 0 11 0.12 Mounted systems 0.01 0.01 0.01 0.01 0 01 0 01 0.02

I Total^ 2,56 2.73 3.45 3.66 4.08 4.30 4.60

' Cost data are averages for more than 1,100 patrol cars operated in 29 cities. The data collection procedure which was used to generate the data from which

these C/mi figures were computed may cause some distortions in the figures. The problem was that maintenance and mileage data were reported for the life of the vehicle in the system, not the current odometer reading. (That is, cars of a department just adopting the cost management system would have their maintenance costs for the first period accumulated under the 0 to 10,000 mileage interval, regardless of their actual mileage. As a department once in the cost system replaced its cars, however, costs would be recorded in the correct mileage interval. While the magnitude of this problem is probablv not great, it may tend

to raise the cost of maintenance over the lower mileage intervals relative to the costs at the higher mileage internals.)

* Expression of cost items in terms of <t/mi is not meant to imply that costs are in all cases a function of mileage, rather it is used to translate costs expressed

originally for different numbers of vehicles and mileages to a common denominator for comparison. An effort has been made to separate those cost elements which are more fixed in nature from the variable cost elements, so as to avoid distortion of the t/mi comparisons which would result from spreading fixed cost over different mileages. Therefore, a subtotal is computed for a group of items for which costs are more clearly variable in nature. — indicatcA negligible or no cost incurred. SOURCE: Computed from data supplied by Mainstem, Inc.
cost and mileage is employed in section 3.5 to determine time of optimal replacement of patrol cars. Additional quantitative information there further shows the relationship

between maintenance cost and mileage.

The data in table 27 are cdso useful in determining which items account for the

largest part of the maintenance cost and at what mileage particular problems arise. For

example, during the first 10,000 miles (16,000 km) of operation, repairs to the ignition

and lighting systems are the largest single items of costs with respect to mechanical

components. During this period, preventive maintenance accounts for by far the largest

kind of maintenance expenditure (tires excluded). We can also see that, by 20,000 miles

(32,000 km), brakes begin to account for an important share of cost; at 50,000 miles

(80,000 km), transmission work becomes significant; and at 60,000 miles (97,000 km) the

power system becomes expensive to maintain. There is no particular trend in costs of preventive maintenance, lubrication, or tires as mileage increases. Tire costs average

about one-half cent per mUe over the life of the vehicle.

Table 28 indicates the effect of driving environments and rate of vehicle usage on

operating and maintenance costs of a patrol car. It appears from these sample data that

congested traffic conditions lower gasoline mileage significantly, and raise maintenance

cost (by about 2.0^ per mUe (1.2^/km) for the sample cars). This supports the view that

running cost per mile for city police department fleets will generally exceed the cost for

state police departments.

Additional related information in section 3.4 deals with the cost effects of alternative vehicle-driver assignment plans. There, the impact on maintenance and

repair cost of personal car assignment is examined.

Regression analysis was performed to determine whether gasoline mileage changes

with car mileage. A significant dependence of operating cost on vehicle mileage would

Table 28. The effect of different driving environments and vehicle usage rates on operating and maintenance costs of the patrol car

Miles per gallon

of gasoline

Maintenance cost

(labor, parts, tires;

(f per mile)

A. A large city poUce department

Congested traffic district ' 7.65 4.7 Open driving (suburban) district ^ 8.78 2.6 High car utilization district ^ 8.70 3.7 Maintenance cost

(labor, parts, tires. gas & oil)

B. A State highway patrol department

Congested traffic district * 10.2 6.6 Open driving district ^ N.A. 4.7

Averages are (or 3 samples of 23 vehicles each, driven in 3 congested downtown city areas. Vehicles in these districts accumulate mileage at a slower rate than the department average, but corresponding engine hours are higher than average. Averages are for 2 samples of 28 vehicles each, driven in 2 suburban districts characterized by relatively low population density and rural driving

conditions. Vehicles in these districts accumulate mileage at a higher rate than the department average, but associated engine hours tend lower

Oian average and stop and starts are fewer. Averages are for a sample of 25 vehicles operated in a high crime community. Driving conditions are not particularly severe, but the need for constant patrol results in higher than average utilization of cars in this district. ^Averages are for a sample of six cars driven in a congested district where driving is at slower speeds with many stops and starts. Averages are for a sample of six cars operated in a district characterized by open driving conditions, where cars are driven at higher and more

constant speeds. SOURCE: Internal data files of a large city police department and a state highway patrol department. NOTE: The samples were constructed to be as similar as possible with respect to car model and year, among districts within each department. Because of differences in sample composition and in accounting practices between departments, it is not meaningful to make comparisons across department lines.

58
bear on the timing of vehicle replacement. For the sample data, gasoline mileage

appeared to improve slightly with increased mileage, but the relationship was slight

[approximately one-half mile per gallon increase for each additional 10,000 miles (16,000

km) driven], and may reflect a bias in the data caused by earlier replacement of inferior cars and later replacement of those having better operating histories. Although gasoline prices are largely beyond the control of fleet management, there

are ways to reduce gasoline cost. One approach is to adopt vehicles which require low

octane fuel, to strive for compatibility in octane requirements among vehicles of different types, and to buy gasoline as near as possible to minimum octane

requirements. Use of higher octane gasoline is cost effective only if it reduces

maintenance cost or increases performance by an amount equivalent to its higher cost.

3.3.3. Selection of Maintenance Facility: Centralized or Decentralized Organization and Location—Police Shop, Municipal Garage, or Private Vendor

The selection of a maintenance facility has already been treated, in part, in connection with leasing, when the cost of contracting out maintenance was compared to the cost of maintaining vehicles in a police shop. However, in establishing a maintenance operation, it is necessary to decide not only between private vendors and

an in-house shop, but also to determine the best physical location for service facilities and, given an in-house operation, the optimal degree of administrative and managerial

centralization. Thus, centralization may be considered in terms of physical location of shops and administration; (i.e., regional shops versus a central shop, and police, fire, sanitation, etc. garages versus a single municipal garage).

The two main cost considerations in these decisions are: (1) What are the travel costs and downtime costs connected with transporting vehicles to and from a central

point for repairs, as compared with a number of decentralized points?;*" and (2) to what

extent will possible economies of scale be lost by dividing facihties into separate units?

Intuitively, a municipal garage seems suited to small fleets, with some form of geographically decentralized shops for widely dispersed fleets. For dispersed fleets, the

smaller the fleet, the greater the advantage of decentralized municipal shops, or contract arrangements with scattered private vendors.

A primary consideration aside from cost is the expected effectiveness of the

different modes of service. Certain problems were mentioned frequently in association

with both municipal garages and private shops. This study found the following

objections to the municipal garage most often cited: (1) Police vehicles may not receive

adequate priority, leading to excessive downtime; and (2) due to the diversity of vehicles

and the size of the facility, quality control may not be as stringent as would be

attainable in a police shop. Similarly, police fleet administrators often object to contracting maintenance on grounds that control over the quality of work is lost. Examples were also found, however, of departments with successful municipal or

private garage maintenance arrangements.

Costs for alternative facilities can, of course, be estimated and compared on a case-by-case basis, but empirical determination of the average efficiency of each type of maintenance facility is difficult or impossible. This is in part due to the paucity of data

available for analysis, but mainly because such data as are available reflect many

factors other than the type of shop. Despite these drawbacks, average maintenance

costs per mile are shown in table 29 for samples of departments using different types of

facilities. When the cost data are adjusted for differences in labor rates, table 29 shows

maintenance costs in municipal garages to be lowest, on the average.

48 Simulation models have been developed in other ntudtes to help local authorities plan optimal location of shops.

59
Table 29. Comparative maintenance cost per mile for vehicles maintained

in a sample of police shops, municipal garages, and a commercial garage

($/' mi)

Type of maintenance Standard 4-dr. Administrative Administrative

facility ' police car sedans and wagons compacts Scooters

Adjusted^ Adjusted^ Adjusted^ Adjusted

Reported for labor Reported for labor Reported for labor Reported for labor

rate rate rate rate

Police Shop 3.2 5.8 3.8 7.0 1.7 3.2 5.8 10.1 Municipal Garage 4.0 4.7 3.3 4.0 1.7 2.2 6.3 8.9 Commercial Garage 4.0 6.3 5.4 7.5 N.A. N.A. N.A. N.A.

The cost data are computed for the following samples: (1) Five cities operating 135 or more police cars each, maintained in a police garage, (2) 24

cities, 8 operating 45 or more police cars each and 16 operating less than 45 police cars each, maintained in a municipal garage, and (3) one city contracting maintenance to a commercial garage. Labor rates were found to differ among the sample groups. Since the variation in rates appeared more likely attributable to geographical

differences than to differences in type of garage, the data are shown adjusted to a common wage rate. SOURCE: Computer printouts of data were provided by Mainatem, Inc

3.4. Cost Effects of Alternative Vehicle-Driver Assignment

Plans: The Personal Car Program

To achieve fleet economy, emphasis traditionally has been placed on minimizing

the total number of cars in the fleet. This has been accomplished primarily by

multipurpose use of vehicles, multishift use of cars, and reduction in vehicle

requirements of the maximum-use shift. *^

Until recently, individual officer-car assignment and single shift use of cars were

limited chiefly to fleets dispersed over large areas, for which pooling at a central point

would be impractical and inefficient. But this practice now appears to be expanding in conjunction with the "personal" or "take home" car program. While primary

justification of the personal car program is usually crime prevention and apprehension—

rather than fleet economy—there are claims that important cost reductions from the

program make it about as cheap as (or even cheaper than) the pool/multishift

arrangement. ^

This section of the study examines the personeil car program in terms of cost. The

nature of the program is briefly described and the possible benefits listed. For a simpUfied case, it examines capitahzation and running expenses for a single-shift

program as compared to a multishift program. It presents some empirical information

regarding costs of existing personal car programs, and uses a breakeven model to determine the reduction in running costs necessary to offset the higher capital costs of the program. An overall, in-depth analysis of the program is not provided here; only

vehicle costs are considered.

49 Fleet size is geared to requirements of the highest-use shift, which may be reduced by; (1) Shifting duties to other shifts, where possible, so that there is a more even balance among shifts, thereby reducing the number of vehicles which would be used for only one shift; (2) scheduling maintenance and repair work during stack periods, so that all or most of the fleet is operational during the high-use shift; (surplus vehicles from the maximum-use shift can be used as backup vehicles for other shifts); (3) minimizing shift overlap, or planning officer schedules to avoid double demands for vehicles during overlap periods.

50 For example. Officers Earl Flowers and James Griswold, in a paper on the ArHngton County, Virginia, Police Department's Take Home Program,

state, "In Arlington County, Va., projected figures show that the present take home program will save the county in excess of $100,000 in a 1-year

period. Although more vehicles and larger initial investments are necessary, lower maintenance and operating costs offset the initial cash outlay. This program is expected to pay for itself in a 3-year period." (Officers Earl Flowers and James Griswold, Take Home Car Program, Paper

presented to the Northern Virginia Police Academy, April 10. 1972, p. 5.)

60
3.4.1. Description of the Personal Car Program

In brief, personal car programs assign patrol cars to individual officers on a one-to- one basis, allowing use of the cars for personal activities during off-duty hours. For his

part, the officer is required to operate the vehicle in the department's jurisdiction,

maintain radio contact, have his gun, and respond to emergencies whenever the car is in use. The officer is allowed to have his family or other passengers in the car with him

during off-duty hours, but must drop civilian passengers before responding to an emergency call. When using the patrol car off-duty, the officer is required to dress

conservatively and to avoid conduct or places which might create a bad image for the

police department. The participating officer must insure that the car is cleaned, gassed,

and serviced as scheduled and as needed, during off-duty hours, if possible. However,

he is reimbursed for these costs. The department bears the expense of purchasing and

operating the cars for off-duty and on-duty use. The plan, in effect, gives participating patrolmen a sizable, tax-free benefit in return for intermittent services rendered. Department members other than patrolmen do

not receive this benefit. (Take-home provision for non-patrol cars is not considered a

part of the personal car concept and is not dealt with here.)

The primary benefits claimed for the program—both from greater patrol car

visibility and from quicker officer response—are reductions in crime and in accidents,

increased criminal apprehension, and greater citizen security. These benefits are

attributed not only to use of cars during off-duty hours, but also to increased time

available for on-duty patrol. Due to the larger fleet and individucdly assigned cars, beat

time previously lost to downtime—due to maintenance, gassing, and car exchange

between shifts—can be reduced, thereby increasing effective patrol time. In addition,

there are other advantages attributed to the program, which pertain to internal

department operations, rather than direct provision of services to the public. These

advantages include higher officer morale, improved vehicle safety, better appearance,

and improved public image of the police. The program is offered in some jurisdictions as a low-cost solution to a need for increased police presence, because the costs of the

program are thought to be less than the cost of buying equivalent patrol service in other

ways.

3.4.2. Vehicle Costs Under the Personal Car Program: Empirical Evidence

There are basically two kinds of costs associated with the personal car program:

(1) Vehicle capital cost and (2) vehicle running cost.^^ To compare cost of the personal

car program with cost of a multishift operation, account must be taken of the cost of additional cars to implement the program, and the net change in total operating and

maintenance cost for the fleet, including cost of existing cars and new cars, both during

and after regular duty hours.

First, let us examine the cost experience of departments which have adopted

personal car programs. Table 30 presents, in four parts, reported costs for a large city

For more detailed descriptionn and evaluations of pernonal car programs in operation, see the following reports: Donald M. Fislc, 'I'he Indianapolis Police Fleet Plan, Washington, DC: The Urban Institute, October 1970; Officers Flowers and Criswold, Take Home Program :Dort H. Wilson, The Take -Home Car Program of Arlington County Virginia Police Department ; Governmenl Research Institute, The Car Saturation Program of the Cahokia . Illinois Police Department , an evaluation report prepared for the Illinois Law Enforcement Commission, St. Louis, Mo., May 1972; Cpl. Ciacamo (Jack) San Felice, The Personal Patrol Car Program ; An Evaluation Report, Prince George's County, Md., Police Department, February 1973.

52 Since all department members do not benefit equally from the program, problems of equity may arise. Not only staff who are not patrolmen, but

also patrolmen who live out of the jurisdiction, are generally denied full participation. (Partial participation may be allowed, whereby officers living out of the jurisdiction are assigned personal cars which must be left at the station whenever the officer leaves the jurisdiction.) Services, however.

are exchanged in return for benefits received and car use is supposedly not bestowed out.of-hand.

S3 In some cases, officers receive overtime pay for extended calls during off-duty hours, but salary cost of the program appears generally small. Also, the increased fleet size may give rise to the need for expanded garage facilities. This analysis assumes for simplicity that existing facilities can accommodate the increased fleet.

61
police fleet operating first under a multishift plan and then under a personal car program. The following points are noteworthy: (1) Fleet size was nearly tripled to implement the program; (2) the plan was put into effect by purchasing more new

vehicles than usual and, at the same time, retaining part of the existing fleet normally

scheduled for replacement; (3) additional equipment purchase was necessary; (4) total

fleet mileage increased by slightly more than half; off-duty mileage appeared to average

between 50 and 60 percent of on-duty mileage; (5) individual car mileage averaged much

lower with the personal car program; (6) due to lower car mileage, the department

expected to extend the replacement period from about 2 years to somewhere between 2

1/2 and 3 years, while maintaining the former 50,000 mile (80,000 km) replacement

target; (7) direct operating costs for gas, oil, and maintenance was reported to have

declined on a per mile basis from about 5.6^^ (3.4^/km) under the old plan to about 4.0^

{2.4^/km) under the personal car program, a decline of almost 30 percent; (8) due to higher total mileage under the personal car program, total annual gas, oil, and

maintenance costs increased by about 10 percent (or about $28,000), despite the lower

cost per mile; (9) uniform annualized cost of the personal car program appears in this case to be close to 40 percent (or nearly $200,000) more than the old, multishift plan. In general, of course, the capital cost of implementing a personal car program will depend on departmental car utilization practices and existing fleet size. A fleet starting

with a three-shift-per-car-per-day plan will generally require about a threefold increase in vehicles and related equipment. However, the required increase in cars may vary

considerably depending on the distribution of the work load among the three daily shifts; on the number of officers patrolling in each car, i.e., single or multiple-officer staffing,

and on the size of the existing backup fleet. If the work load varies substantially among

shifts, the minimum number of cars for the multishift car plan will be larger than would

be required if the work load were evenly distributed. The effect will be to reduce the

number of additional cars needed to implement a personal car program. If, on the other

hand, there were multiple-officer staffing of cars rather than single officer patrols, the

difference in the number of cars required for a full personal car program as compared

with a minimum multishift car plan would be widened. The larger the size of the

existing backup fleet, the less the difference in the number of cars required for the two

plans. In any case, from car and equipment price data, it is fairly easy to estimate the

capital cost of implementing a personal car program, given the nature of the existing

operation.

The annualized capital cost of keeping the personal car program in operation can

likewise be estimated, based on the new replacement schedule. Since conversion from a

multishift plan to a personal car plan generally reduces average mileage per car per

period—and since average running costs per mile are probably no more (and are perhaps

less) for the personal car program—the probable effect on time of replacement is a lengthening of the cycle.

Comparative running expenses are more difficult to estimate since the effect of the

personal car program on this cost has not been clearly established. Peirt of the problem

stems from limited experience with the program; part from lack of data for those

programs in operation; and part from the interpretation of existing data. Claims of substantial reductions in car running costs (ranging higher than a 50% reduction) have

been attributed to the program. However, an analysis of data samples by this study

suggests that there may be little difference in per mUe running costs between the two

car plans.

Having already examined in table 30 the reported operating cost for a large city

department (where per mUe cost of gas, oil, and maintenance was estimated to drop

cdmost 30% upon conversion to the personal car program), let us review quantitative

information from other sources. According to an evaluation report of the personal car program in operation at one police department, annual maintenance cost per car under

62
Table 30. Experience of a large city police department with a Personal Car Program

I. Background Information

Fleet Size Old Plan: 170 patrol cars New Plan: 455 patrol cars (2.7 X old fleet size) Mileage (approximate figures) Old Plan: Total annual fleet mileage = $5,000,000

Average miles per car month = 2,400 Average miles per car per year = 29,000

New Plan: Total annual fleet mileage = approximately

7,700,000 (1.54 X old mUeage)

Average miles per car per month = 1,400 Average miles per car per year = 17,000 Reported Running Costs

Gas Oil Labor Parts Total ($) ((f/mile) Fleet insurance

Old Plan: 3.344^ 0.090^ 0.750^ 1.416^ 5.600^ $17,000

New Plan: 2.430^ 0.089^ 0.530^ 0.906^ 3.955^ $45,500

Replacement Policy Old Plan: 2 years New Plan: 2-1/2 to 3 years

II. Cash Outlay Necessary to Implement the Personal Car Program

No. new cars purchased in excess of annual purchases required under old plan = 235 Purchase price of new cars = $1,860

Expenditure for additional new cars = $437,100

Cost of Retaining 50 old cars in the fleet which would usually be sold for $400

but which will now be sold for $200 each in a year ' = $10,909

Expenditure for additional equipment to outfit 285 cars at a cost of $740 per car, excluding radio. (Assume equipment for existing 170 cars is reused, leaving 285

without equipment) = $210,900

Total cash outlay to implement program = $658,909

III. Uniform Annualized Cost of the Personal Car Program

Vehicles: Yearly replacement of 1/3 of the fleet or 152 cars @ $2,000 each = $304,000

Yearly resale receipt on 152 cars sold after 3 years @ $760 each = $115,520 Annualized cost of vehicles = $188,480

Equipment:

Sirens, lights, partitions, etc. for 455 cars, assuming an average life of 10

years, no salvage value, and a purchase price of $740 per car = $54,815

(i.e., $336,700 X Uniform Capital Recovery Factor, 10 yrs., 10%)

Radio lease cost @ $144 per car per year = $65,520

Annualized Cost of Equipment = $120,335 Annual Operating Expenses:

Gas, oil, maintenance (parts and labor) for annual fleet mileage of 7,700,000 @ 4.0(1; per mile = $308,000

Liability insurance @ $100 per car per year = $45,500

Annual operating cost = $353, 5(X) Total annualized cost, after implementation of program = $662,315 ^

In order to implement the program, only 35 existing cara were traded instead of the usual 85, The 50 cars retained were not to be replaced until the following year. Since release values were not readily available and were not taken into account in the evaluation study (Fisk, Indianapolis

f/on). they are estimated here, based on the purchase price of $1,860 and about an 80 percent depreciation over 2 years. Normally, an estimated $20,000 would be received from sale of used cars. However, in order to implement the personal car plan, the $20,000 is forgone and, instead, $10,000 will be received a year later. !n absence of actual resale values, and in view of the fact that personal patrol cars are usually in much better condition than the average patrol

car, a depreciation typical of a private car is used to estimate resale values. (See table S). Had the same resale value been used as was used in computing annual cost of the old program, total annual cost would have been equal to $717,000 rather than $662,315. Note; Information was not available on all cost elements and some items may be omitted from the comparison.

Source; Fisk, Indianapolis Plan , pp. 43-50. The basic data were taken from the Fisk Report, but the subsequent compulations and the method of presentation differ from that in the report. *Denotes subtotals and totals. 63
IV. Uniform Annualized Cost of the Old, Multishift Plan

Vehicles : Yearly replacement of 1/2 of the fleet or 85 cars @ $2,000 each = $170,000

Yearly resale receipt on 85 cars sold after 2 years @ $400 each = $34,000

^Annualized cost of vehicles = $136,000

Equipment:

Sirens, hghts, partition, etc. for 170 cars (assuming an average life of 10 years, no salvage value, and a purchase price of $740 to outfit each car) = $24,480, i.e., $125,800 x Uniform Capital Recovery Factor, 10 yr., 10%

•Annualized cost of equipment = $44,960 Annual Operating Expenses:

Gas, oil, maintenance (parts and labor) for annual fleet mileage of 5,000,000 @ 5.6$ per mile = $280,000

Liability insurance @ $100 per car per year = $17,000

AnnusJ operating cost = $297,000

Total annualized cost under multishift program = $477,960

the old pool plan averaged about $1500. Under the personal car plan, average annual

maintenance cost per car is reported as $350, a drop of 77 percent per car—a large drop,

the decline in average car mileage per month notwithstanding.^ It is further noted in the

report that the number of vehicles was doubled, but total maintenance cost increased by

only 14.8 percent. However, when reported operation cost is looked at on a per mile

basis, rather than a per vehicle basis, the results appear different. Reported toteil fleet mileage increased from 7.5 million miles (12.1 million km) the year prior to implementation of the program, to 8.1 million (13 miUion km) in the first year the

program was in operation. On a per mUe basis, the reported costs for maintenance and

repair, cleaning, battery replacement, tire and tube replacement, and gas and oU appear

to have increased slightly in each case, from one year to the next. Similarly, two studies of another poUce department's personal car program

reported drastically lower maintenance and operating cost for cars operated under the

personal car program. Running costs were reported to have decUned from $255 per car per month to $115 per car per month for cars in the program as compared with pool

cars. However, a comparison of running costs for a small sample of multishift cars and

personal cars of the same model and year, taken by this study from the department's

records, failed to show a statistically significant difference in the two. Another sample of data for a take-home car program showed the following costs

for new pool and personal cars operated for a short time:^^

Total maintenance and repair (in- cludes tires, preventive mainte- Mechanical components: nance, body work, towing, as well

parts and labor as items in the first column)

(J/mile (f/km (t/mile ((/km

Take-home cars 1.5 0.9 3.0 1.8

Multiple-shift cars 3.7 2.2 6.8 4.1

As may be seen. pool cars are reported to cost more than twice as much as personal

cars for maintenance and repair.

Firm-handed management of fleet maintenance under the leadership of new maintenance personnel which occurred about the same time may

account for part of the decline in average maintenance cost on vehicles.

55The data were provided by Mainstem, Inc., Princeton, N.J., for an unidentified police department.

64
In order to examine the cost effect of the individual assignment of cars alone, as opposed to both individual assignment and personal use of cars, two samples of cars were drawn from the records of a state highway patrol department. One sample group

consisted of patrol cars originally assigned to individual officers but later converted to pool use. The other sample was a control group of cars similar with respect to model,

age, and mileage, but which remained individually assigned. The sample costs rose almost 10 percent following conversion to pool use, while average cost per mile of cars

in the control group appeared essentially unchanged. However, a statisticed test of significance indicated that the difference might be merely attributed to chance.

It has also been reported that the rate of vehicle accidents and accident-related

costs are reduced by personal car programs. The accident rate for pool patrol cars operated in one police department was said to be almost three times as great as the rate

for personal patrol cars and in another police department, nearly half again as much for pool cars as for personal cars. The assignment of a car to a single driver might reduce costs in two ways:

(1) Individual car assignment provides accountability in case of driver abuse, whereas it

is difficult to assign responsibility for the car's condition if seversd officers drive the same car. (2) Direct car assignment may generate pride in the vehicle, resulting in better care. In addition, when cars are used for patrol only 8 hours per day, there is more time to schedule and perform maintenance during off-duty hours. Otherwise the

work may be frequently postponed, perhaps leading to more serious problems or downtime during duty hours. Quality of repair work is probably improved if an interested

driver describes the nature of the problem to the mechanic and checks more closely on

the repair job. In conclusion, there is evidence—but not conclusive proof—that running costs for individually assigned, single-shift cars used by officers for personal use are substantially

less than for multishift pool cars. There is some evidence that personed patrol cars may

cost only about half as much per mile to operate as pool cars. However, there is also some evidence that the difference may be slight. (The rise in gasoline prices relative to other prices has increased the difficulty of achieving a reduction in per mile running

costs by converting tc a personal car program, because the use of personal cars does not appear to impact as much on fuel costs as on maintenance and repair costs.) Further

research is needed to establish the impact of personal car programs on running costs. A

thorough evaluation is needed to examine the expected benefits from the program, as

well as the expected costs.

3.4.3. A Cost Comparison of a Personal Car Program With a Minimum

Fleet/Multishift Car Plan: A Hypothetical Example

The purpose here is to compare capitalization and running expenses of a personal

car program (PCP) with costs of a minimum fleet/multishift program (MSP). First the

cash flow associated with each plan is identified, and then, lacking more definitive measures of the effect of the personal car program on fleet running cost, a breakeven

model is used to determine the reduction in running cost which would be necessary to make a personal car program as cheap to operate as a multishift plan.

For simplicity, the cost of alternative car plans are developed and examined for a hypothetical police department just setting up its fleet. It is assumed there are 200

officers who require patrol cars and that the department operates 20 shifts per week—

5

shifts per officer of 8.4 hours each—and assigns 50 officers to each shift, each of whom

requires a patrol car. (As indicated above, in actual practice work loads will vary among

shifts and two-officer patrols are common. Variation in work load would tend to reduce

the difference in the costs of the two plans; two-officer patrols would increase the

difference in the costs of the two plans if every officer received a car under the personal

car plan.)

65
In order to implement an MSP of 3 shifts per ear per day, 5 backup cars are added (in the ratio of 1 backup to every 10 regular cars, in accordance with a popular

"rule-of-thumb") to the basic fleet of 50 cars to allow for downtime. For the PCP, it is assumed 200 cars are required and a backup fleet unnecessary. A backup fleet is no

longer necessary because scheduled maintenance during regular duty hours is reduced

by shifting it to off-duty hours, and unexpected downtime due to car breakdown is accommodated by borrowing off-duty cars from personal use. The pool cars average 60,000 mUes (97,000 km) per year each, for a total of 3.3

million miles (5.3 million km) per year. (This mUeage is high compared with the

experience of many departments, but it is reasonable for a minimal multishift fleet as is depicted here.) The 200 personal cars accumulate the same total fleet mileage of 3.3

million (5.3 million km) during on-duty use, or 16,500 miles (26,600 km) per personal car per year. But personal cars are also used during off-duty hours. Assuming that annual

off-duty mileage amounts to 4,000 miles (6,400 km) per car, i.e., approximately 24

percent of on-duty use, each car is used about 20,500 miles (33,000 km) per year. This

amounts to 4.1 million total fleet miles (6.6 million km) annually. The personal car, therefore would take almost 3 years to accumulate 60,000 miles (97,000 km).

Replacement of cars under both plans is set at 60,000 miles (97,000 km). Additional

assumptions employed in the analysis are explained in footnotes to table 31. Table 31 shows the amount and timing of expenditures and receipts associated

with both programs. Notice that a value has not been assigned to running cost per mile

for the PCP. We can use a breakeven model (used in cost analysis to determine the

value of a preselected unknown variable which wUl make alternative programs or decisions equal in costs) to get an idea of the magnitude of the difference in running

expenses necessary to equate the costs of the two plans, given the stated assumptions.

To construct a breakeven equation, we first develop a cost equation for each plan,

and then set the two equations equal to each other. We then solve for that value of the

unknown variable—running cost per mile—which will equate the costs of the two

alternatives. Uniform annual costs of each vehicle plan can be calculated from the

information in table 31 as follows:

Ai= (C -S,) + Si(r) + E,

(1+r)'^' -1

r(l+r)

(l+r)^' -1

+ li + M, (Ri),

where,

A- = Uniform annual cost of the vehicle plan, where the subscript i indicates the type

of vehicle plan. (Below, subscript 1 designates the PCP and 2, the MSP.)

C; = Total purchase price of vehicles in car plan i in present dollars.

S; = Total resale value of vehicles in car plan i, resold after NC years of use in present dollars. ^ N; = Number of years after purchase at which time cars in car plan i are resold, i.e., N = 60,000/Mi.

r = A real rate of discount, i.e., excluding inflation. Ej = Total purchase price of equipment required for car plan i in present dollars. Yj = Number of years of life of equipment under car plan i.

Ij = Annual insurance cost for car plan i. M; = Total annual fleet mileage incurred under car plan i. Rj = Cost per mile of running expenses under car plan i, in present dollars.

In the equation, the resale value, Sj, is subtracted from the purchase price, C,,

and the result is multiplied by the capital recovery discount formula, in order to convert

the capital cost of cars into an equivalent stream of uniform annual values. The next term in the equation, Si(r) is included to take into account the fact that the resale value

66
Table 31. Expenditures and receipts for a Personal Car Program (PCP) and a Multishift Plan (MSP) '

Type of cash flow PCP MSP

No. of cars purchased ^ 200 every 3 yrs. 55 each yr. Purchase outlay for $600,000 every $165,000 each yr. new cars '

' 3 yrs. Receipts from sale $280,000 every $82,500 each yr. of used cars

"* 3 yrs. Purchase outlay for $240,000 every $66,000 every

car eQuipment ^ 10 yrs. 10 yrs. Insurance premiums ^ $20,000 each yr. $5,500 each yr. Running cost ' 4,100,000 (R) 3,300,000 ($.08)=

$264,000 each yr.

I The coat data are realistic values in 1973 prices.

2^Lower average annual mileage results in a longer replacement cycle for personal cars. A purchase price of $3,000 is assumed.

Resale value on the MSP car, which is replaced annually, is assumed to be $1,500. This i.s ba.sed on typical patrol car depreciation for a standardsize car operated by a medium-size city department, as developed in table 9. For the personal car, resale value is assumed to be $1,400. after being used for 3 years. Depreciation for the PCP cars is based on rates typical of a private car, and reflects the fact that they are normally in good

condition.

fi ^This assumes an expenditure of $1,200 to equip each car and an equipment life of 10 years with no salvage value remaining. This is based on insurance premiums of $100 per car for both car programs. According to an insurance company representative, (here woul<l generally be little or no differential in insurance rates for patrol cars based on mileage incurred or on whether they are pool or take-home cars. Running cost per mile (R) is the unknown variable in the analysis. Both direct and indirect costs, including overhead items such as costs of inventory and service garage facilities are assumed to be included in the per mile cost.

is not immediately forthcoming as is implied in the previous term, but is received at a

later time. The annual cost of deferring the receipt of the resale value until later is the

annual opportunity cost forgone; hence, cost of the vehicle plan is raised by an amount

equal to the resale value multiplied by the discount made. (Alternatively, in the first term to the right of the equation, S; could have been converted to present value by

applying the single present worth formula, prior to subtracting it from purchase price.

The remainder would then have been multiplied by the capital recovery formula, and

then there would have been no need for the term S;(r).) The third term on the right side of the equation takes into account equipment cost. The total purchase price of equipment is multiplied by the capital recovery formula to convert the present value cost to a uniform annual cost basis. Since salvage value is assumed equal to zero in the case example, no term for resale value of equipment is included. Insurance, Ij, and running costs Mi(Rj) are already stated on an annual basis,

and hence may be entered directly into the equation without discounting.

Setting the annual cost equations for the two plans equal to each other we have

A, = A2

[10(1+ . 10)'

($600,000-$280,000)

[(1+. 10)^-1

$280,000(.10)

+ $240,000

= ($165,000-$82,500)

:iO(l+.10)'°

"

I (1+.10)^°-1 J

rio(i+.io)

[(1+.10)"'-1

_

+ $20,000 + (4,100,000) (R,)

+ $82,500(.10)

+ $66,000

.10(1+. 10)' _(1+.10)"'-1

Solving for Rj, we find that R; = $.04

$5,500 + (3,000,000) (.08)

67
This shows that given the stated assumptions f6r capital cost and mileage, running

costs per mile under the PCP must be reduced by approximately half what it would be

under the multishift plan, (i.e., from 8^ to 4^ [4.8^ to 2.4^/km]), in order for the two

programs to be cost equivalent. Hence, the PCP must impact quite heavily on running

costs in order to reduce total fleet costs to the level attainable under an MSP.

Table 32 shows total Ufe-cycle costs of the two plans for various per mile running

costs, off-duty mileages, and depreciation rates. This table provides an indication of the

sensitivity of cost calculations to the assumptions employed in the analysis. It allows us,

for example, to compare the costs of an MSP having a running cost of 8^ per mile (col. 2, row 1) with the costs of a PCP not used at all off-duty and having a running costing

cost of 6^ per mile (col. 3, row 2). The costs of these programs can be compared in turn with a PCP for which the cars are used nearly as much for off-duty driving as for on- duty driving, and for which running cost per mile is, say, 4^ (col. 6, row 3). The

comparative costs are $379,000, $414,000, and $597,000, respectively.

From the table (col. 2, row 1 and col. 4, row 3), we can cdso confirm the results of the breakeven analysis; that is, costs of the two plar . are about equjJ ($379,000 versus

$380,000) if PCP cars are used off-duty sparingly, are replaced every 3 years rather than

annually, depreciate much more slowly than MSP cars, and incur running costs less than half as great as for the MSP.

By comparing column 2 with columns 5 and 6, we can see that a PCP would cost much more than a MSP—about double in this case—if PCP cars are used extensively off- duty, are consequently replaced every 2 years instead of 3, and incur about the same

operating cost per mile as MSP cars. The reduction in operating cost necessary to offset higher capitalization and insurance cost would be drastic. Futhermore, if a much slower

rate of depreciation were not achieved by the PCP, the PCP would, in this example,

cost substantially more than the MSP even if operating costs were greatly reduced by

the program.

Of course, if PCP cars are not used off-duty (col. 3)—as might be the case where

the program is adopted for reasons other than crime reduction—the cost differential between the MSP and the PCP is reduced. (By like token, program benefits from off- duty use of the vehicles are not forthcoming to offset the cost of the PCP.)

In examining table 32, note that the proportional relationships between costs of the

PCP and the MSP have broader applicabiUty than the single hypotheticed case upon

which the cost figures are based. To the extent that costs of the two fleet plans are

linear functions of fleet size, the cost proportions derivable from table 32 wiU hold over

all fleet sizes, all other things being equal. This means that in absence of any significant net economies or diseconomies of scale associated with larger or smaller fleets, under

the stated conditions, the cost of a full PCP as compared with a minimal MSP would be

in the same proportions as are derivable from table 32, regardless of fleet size. Thus, a PCP with the attributes described by column 6, row 1, would cost about twice as much

as the MSP described by column 2, row 1 (i.e., $834,000/$379,000=2.2), whether the

pohce department were to have 50, 100, 200, 300, or some other number of officers. The

table therefore offers to pohce departments of various sizes some indication of the

relative costs of the two programs under the conditions stated. There are some limitations to the apphcabihty of these specific cost figures. For

example, these calculations are based on representative prices given in 1973 dollars. Furthermore, a given police department may discover items of costs associated with the

two programs which have not been taken into account here. For example, it may find

differences in the parking facUities required for the two plans, which may alter their

comparative costs. However, given the fact that a PCP involves more cars but generally

does not require parking for off-duty vehicles, the direction of impact in this case is not immediately clear. As noted above, to the extent that there are economies or diseconomies of scale associated with larger or smaller fleets, costs of the two fleet

68
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69
plans would not be linear function of fleet size, and the cost relationships between the

two fleet plans might vary depending upon the specific sizes of the PCP and MSP

fleets.Other limitations of the cost figures pertain to the way in which the PCP and MSP

are here defined. There are two points to note. One is that the size of the MSP which is minimal depends upon staffing, utilization and maintenance practices. Multi-officer

staffing of cars, for example, would reduce the size of the minimal MSP below that assumed here; the particular practice of preventive maintenance might increase or decrease the need for backup cars above or below the 1:10 ratio assumed here for the

MSP. The comparisons in table 32 are made for a "bare-bones," minimal-size MSP and

a fuU PCP. It should be noted that most departments probably operate an MSP with some degree of slack, and that those departments having a PCP usually do not provide

a personal car for every officer. Hence, conversion to a PCP might not require in practice as large an addition to the fleet as is assumed in table 32.^ (However, a lower

cost of converting from an MSP to a PCP than that shown in table 32 does not

necessarily imply economic efficiency of a PCP; rather it may simply signal inefficiency

in the current car plan.)

Table 32, therefore, provides some measure of the comparative costs of the two

car plans under quaUfying conditions. For those departments whose costs are not adequately described by the table, the annual cost formula developed above and used to generate table 32 can be applied with specific department data.

3.5. Patrol Car Replacement Decisions

Another important management decision is when to replace vehicles. Although the

"physical life" of a vehicle can usually be greatly extended by increasing maintenance

and repair, there is a point beyond which it becomes uneconomical to do so. The

optimal time for replacement, which corresponds to the end of the "economic life" of the vehicle, is that point at which the combined present value or annual cost of ownership and operation of the vehicle are a minimum.

The idea of an economic life, or optimum replacement point, is grounded in the

fact that per unit running costs do at some point begin to increase with higher mileage

and/or age. If unit costs of operating a vehicle declined or were constant with respect to time and use—and barring obsolescence—it would never be economical to replace. The

combined costs per unit of time of the vehicle would decline continuously, since the

largely fixed capital cost would be spread over increasing mileage and time. But if annual running costs do, at some point, start to rise with increased age and use, then it

is possible to make tradeoffs between increasing annual running cost and decreasing

annual depreciation cost, and to determine that point at which annual (or present value)

total costs are a minimum.

The two critical factors in determining replacement are, then: (1) the trend in resale values over the physical life of the vehicle; and (2) the change in running expenses as mileage/ age of the vehicle increases. Exhibit 8 shows schematically the typical relation- ships between these cost elements and vehicle mileage/age.

Both depreciation and running costs will, of course, differ among vehicles, among

departments, and over time, hence it is not advisable to think in terms of a "standard"

economic replacement time for all patrol cars. A more efficient approach is for individual departments to determine optimal replacement policies in light of their

applicable cost experience.

Empirical cost studies ot fleel plans probably tend to understate the real difference in relative cost of a full personal car program as compared

with a minimum (leet/multishift plan, because the personal car program is typically compared with an existing plan which itself falls short ot full car utilization; hence the small reported differences in program costs.

70
Exhibit 8. The optimal replacement point.

OPTIMAL REPLACEMENT POINT

(Year)

NOTE: Optimal replacement point does not necessarily coincide with the intersection of depreciation and running expenses. Costs are assumed discounted to an annual basis.

The purpose of this part of the study, therefore, is not to define the economic life of patrol vehicles—since there is no single answer—but rather (1) to explmn the approach

to determining optimal replacement, (2) to illustrate the approach with police

department data, and (3) to indicate the effect on economic life of different fleet characteristics. In the examples, the cost effects of alternative replacement decisions

are assessed.

3.5.1. Replacement Methodology

Replacement problems occur frequently and "replacement theory" has been

developed as a technique of operations research analysis to handle these problems.

Techniques range from crude models, which merely Ccdculate the minimum mean cost per year, to more sophisticated models which take into account the time value of money

and find the replacement point which minimizes either tk uniform annual cost or the

present value of long-run fleet costs. Related to the optimal timing of replacement is the problem of optimal choice of

vehicles when alternatives exist. That is, if the available replacement vehicle is not

identical to the existing vehicle, it is necessary to compare the costs of alternative

vehicles when the cost of the new has been evaluated at its optimal life. Techniques

exist for dealing with replacement by unlike vehicles.

Simple—but crude—approaches to determining replacement assume replacement

with identical vehicles and a zero interest rate. One such approach is to replace the

vehicle whenever its expected depreciation and operating cost over the coming period

exceeds that of the previous period. Another approach is to replace the vehicle when

average cost reaches its lowest value. Cumulative running cost and depreciation are

71
summed, and the total is divided by the number of periods, yielding average cost per

period. This model may be expressed as follows: Find that n for which AC(n) is a minimum, where

n R(j)+D(j)

AC(n) = 2 ir~

j=l

and

AC(n) = Average (mean) cost per unit of time of a vehicle replaced after n periods.

R(j) = Maintenance and operating costs incurred in the jth period.

D(j) = Depreciation in the jth period, n = Replacement period.

This method of calculating replacement is illustrated in table 33. As may be seen

in column 7, for this example, average cost per period is lowest if vehicles are replaced

in the second year. A more accurate approach to determining a vehicle's optimal life takes into account the time preference of money, using either an annualized cost model or a present value model to place costs on an equivalent basis. In either case, the objective

is to find that replacement period (n) for which discounted costs are minimum.

The uniform annualized cost model to determine replacement may be expressed as

follows:Find the value of n for which A'(n) is a minimum, where

A'(n) - ^_S(n)^ I

RG) i(l+i)"

a+i)"-i

and

A'(n) = Annualized costs associated with replacing vehicles at the end of the nth

period.

C = Purchase price of a new vehicle.

S(n) = Resale value of the vehicle at time n.

R(j) = Maintenance and operating costs in jth period, n = Replacement period,

i = Discount rate.

= Resale value discounted to present value.

R(j)

Q^.y — Maintenance and operating costs in period j discounted to present

value.

i(l+i)"

(1+i)" —

1 ~ Uniform capital recovery interest formula for converting a present

amount to a series of uniform annual payments.

72
Table 33. Illustration of simple approach to calculation of optimal replacement

point: Minimizing the cumulative average cost per year

1 11 tYi 11 1 a tiiro Ulll UlclLl VC CZumulative Averftge

Yearly (Cumulative total yearly

deprcci&tion cost ^ cost ^

(1) (2) (3) (4) (5) (6) (7)

1 $150 $150 $400 $400 $550 $550

• 2 250 400 250 650 1050 525 * 3 350 750 200 850 1600 533 4 450 1200 150 1000 2200 550

5 550 1750 150 1150 2900 580 6 650 2400 100 1250 3650 608

1 Column 3 plus coluinn 5. Column 6 divided by column I. •Denotes minimum average cost. NOTE: Cost data are hypothetical and are not indicative of costs incurred by police cars. Average yearly cost figures are simple mean values; they are not discounted.

Table 34. Illustration of the use of an annual cost model

to determine optimal replacement point

Yearly Estimated

repair resale Annual

Year cost value cost

1 $150 $1,600 $750

2 250 1,350 707

* 3 350 1,150 700 * 4 450 1,000 704

1A(n> :[C-S(n) (SPW, n,i)— 2 R(i)(SPW,j, i)](UCR, n. i)

A(n)

J = 1 Annual cost of replacing vehicle, at the end of the nth period. c Purchase price of a new vehicle.

S(n) Resale value of a vehicle at time n.

R(j) Sum of relevant maintenance and operating costs in yth period. SPW Single Present Worth Factor, and UCR Uniform Capital Recovery Factor. Ai [2.000-(1.600) (.9091)+(150) (.9091)] (l.l)-$750 A2 U,000-(l,350) (.8264)+(lS0) (.9001)-(-250 (.8264)] (.5762)=$707

A., [2.000-(1,150) (.7513)+(150) (.9091)+250 (.8264)+350 (.7513)K'.4021)=$7OO A4 [2.000-(1.000) (.6830)+(150) (.9091)+250 (.B264)+350 (.7513)+450(.6830)K.3155)=$704 •Denotes minimum annual cost. NOTE: The cost data used to compute annualized cost in this table are the same as those used

Employing discount factors, the above question may be stated equivedently in the

following terms:

n A(n) = [C-S(n) (SPW,i,n) + 2 RG) (SPW,i,j)] (UCR,i,n)

j=l

where

SPW = Single Present Worth Factor

UCR = Uniform Capited Recovery Factor

Table 34 shows the annualized costs associated with various replacement periods,

computed for the same basic data as used in table 33, but here taking into account the

time value of money. It may be seen that the optimal replacement time is changed from

2 years to 3.

73
The use of a present value model to determine optimal replacement is similar to the above method, and may be described as follows: Find the value of n for which PV(n) is a minimum, where

PV(n)=

C+R'(n)-S'(n)

l-(l + i)-" and

PV(n) = Present value of the relevant costs associated with purchasing a new

vehicle and an infinite chain of identical replacements, each with a life of n years. C = Purchase price of a new vehicle,

n R'(n) = S R(j) (l+i)~^, the present value of operating and maintenance

j=l costs from j=l to j=n.

S'(n) = S(n) (l+i)"", the present value of the resale value in period n.

i = Discount rate. n = The length of the replacement cycle.

The model assumes that a series of periodic payments of [C+R'(n)—S'(n)] will be made

every n years in perpetuity.

Table 35 shows the present value of vehicle costs for different replacement cycles,

again using the same basic data as in tables 33 and 34. As woidd be expected, the

results of this calculation are in agreement with the findings of the annualized cost model. Both are considered more reUable than the simple average approach.

If the replacement vehicle differs from the existing vehicle, the replacement

calculation is slightly more complex. Here the problem is to find how long it pays to continue operating the existing vehicle before replacing it with the Edternative vehicle.

One approach begins by determining the optimal Ufe of the replacement vehicle so

that the cost of keeping the existing vehicle may be compared with the cost of the new

vehicle at its optimal Ufe. The optimal life of the new vehicle may be determined from

the above equation for present value, PV(n). This information can then be used in the

following equation to find the optimal remaining life of the existing vehicle:

Find the value of k which minimizes the present value of vehicle cost, where

PV(n)

(l+i)'' PV'(k) = , ) / + M'(k) - E'(k)

(C+R'(n)-S'(n) . ^

D(k) E(k)

[l-(l+i)-](l+i)'' (l+i)'' (l+i)"

and

PV'(k) = Present value of all relevant costs associated with replacing an existing

vehicle at the end of period k with a new vehicle which has an economic life of n periods.

M',k, = S

^<'>

the present value of the operating and maintenance costs of the

existing vehicle in period k, where M(j) is defined as the operating and

maintenance cost of the existing vehicle in the jth period.

74
E(k) - ^j^.^, .

the present value of the resale or salvage value of the existing vehicle

in period k, where E(k) is defined as the resale value of the existing

vehicle in period k. k = The length of the replacement cycle for the existing vehicle.

C, R'(n), S'(n) = As defined previously.

For example, assume that the new vehicle is described by the data in table 35, and

therefore has an economic life of 3 years. Assume also that the vehicle can be expected

to give 2 more years of satisfactory service, at an operating cost of $400 in the first year

and $475 in the second year. Further assume that the salvage value is expected to be

$500 at the end of the first year and $300 at the end of the second year. The

calculations to determine whether the vehicle should be replaced at the end of the first

or second year, are shown in exhibit 9. Since the present value of the new vehicle is $7,004, at its optimal replacement

cycle, immediate replacement of the old with the new means a cost of $7,004. Keeping

the existing vehicle for either 1 or 2 more years prior to replacement, at a cost of either

Table 35. Illustration of the use of a present value model to determine optimal replacement point

Yearly Estimated Present Year repair cost resale value value

'

1 $150 $1,600 $7,491

2 250 1,350 7,068

* 3 350 1,150 7,004 4 450 1,000 7,035

W(„) = ^

f'l'!^ - ^'^"^J

1 — (l+i)-n

PV(n), =

[2000 + 150(SPW, j=l, 10%) - 1600 (SPW. n=l, 10%)]

1 - (1+i)'" 200 + 150(.9091) - 1600(.9091)

1 - (1.10) 681

.0909

PV(n),

PV(n)3 =

$7,491 2000 + 150(.9091) + 250(.8264) - 1350(.8264)

1 - (1.10)"^ 1227

.1736

$7,068

2000 + 150(.9091) + 250(.8264) + 350(.7513) - 1150(.7513)

1 - (1.10)

"^ 1742

.2487

PV(n), =

$7,004 2000 + i50(.9091) + 250(.8264) + 350(.7513) + 450(.6830) - 1000(.6830)

1 - (1.10)"^ 2230 .STT

= $7,035

NOTE: The same basic cost data which were used in tables 33 and 34 are used here. •Denotes minimum present value cost. 75
Exhibit 9. An illustration of the replacement calculation when the replacement vehicle differs from the existing vehicle

Existing vehicle: Remaining effective life: 2 years Expected operating cost: $400, 1st year; $475, 2nd year Expected salvage value: $500, 1st year; $300, 2nd year New vehicle: Purchase price: $2,000

Expected operating cost: $150, 1st year; $250, 2nd year; $300, 3rd year; $450, 4th year Expected salvage value: $1,600, 1st year; $1,350, 2nd year; $1,150, 3rd year; $1,000, 4th year Problem: Find the replacement time, k, which minimizes the present value [PV'(k)] of all relevant costs associated with replacing an existing vehicle in period k writh a new vehicle which

has an economic Ufe of n periods.

PV'(k) = ^-^^ + M'(k)-D'(k), (terms are defined in the text)

A. Present value of immediate replacement of existing vehicle: pV'(k=0)=PV(n) =

2.000+$150(.9091)+$250(.8264)+$350(.7513)-$l,150(.7513) = $7 004

B. Present value of replacing the existing vehicle after one more year of use:

"Delay Operating cost Resale for old

discount''' for old car[M'(l)] car{E'(l)]

PV(k=l) = [PV for the new car, n = 3, as shown above] (I+.IO) ' + $400(.9091^ -500(.9091)=$6,226.

C. Present value of replacing the existing vehicle after 2 or more years of use:

Delay discount M'(l) M'(2) E'(2) PV(k=2) = [PV for new car, n = 3, as shown above] (I+.IO)"' + $400(.9091) + $475(.8269) - $300(.8264) = $6,299.

$6,226 or $6,299 respectively, is therefore cheaper than immediate replacement. It appears slightly more economical, however, to replace the present vehicle with the new

vehicle after only 1 more year of use, rather than 2 years. (Other factors not included in

this model, such as model changeover costs, may make replacement more or less costly

than this model shows.)

Regardless of the method used to calculate replacement time, an effort should be

made to utilize reaUstic and comprehensive cost data. Conceptually, operating or running costs should include costs associated with declines in vehicle performance, and

reliability, and increases in downtime, all of which may come about with increased

mileage or age. In practice, however, it is usually difficult to get operating cost data for expenses other than parts and labor. Dollar estimates of the costs of reduced

performance and downtime are difficult to estimate and subject to question. A simpler

and less controversial approach is to indicate separately, as far as possible and in whatever measures are convenient, any costs (or reduced benefits) in addition to parts

and labor costs, which accrue as the fleet ages. Then the estimated ownership and

maintenance costs associated with shortening or lengthening the replacement period can

be compared with these other types of costs. As a consequence, the trade-offs are more

clearly specified, and decision making should be improved.

Some types of operating expenses may be omitted from the replacement analysis

without significantly affecting the results. Costs which accrue at a relatively constant

rate over the life of the vehicle, such as cost of gas, oil, tires, and insurance, usually

have no effect on the optimum replacement time and, therefore, need not be

considered. Whether to include or omit certain items may therefore depend on

convenience, given the format of data records.

For practicahty and efficiency, a dual approach to replacement determination is generally needed. (1) For the purpose of budgeting and for control of a large fleet, the

economic Uves of particular types of vehicles have to be predicted. This may be done by

use of statistical methods to develop profiles of running expenses and depreciation costs

76
as a function of mileage/time for different vehicle types, based on past costs and resale values. Prediction of the average economic age for each type of vehicle v^rill indicate the

approximate number of replacements which probably will be required over the coming

period. Where review on an individual vehicle basis is infeasible, the manager of the

large fleet will be able to set an informed, rather than completely arbitrary, replacement

rule. (2) For maximum efficiency, a decision mechanism is needed for replacing

individual vehicles within a particular group. Individual vehicles may differ greatly in their costs—especially maintenance and repair cost. Samples of cost data gathered from

several police departments showed variation among like vehicles throughout their

lifetimes, and particularly at higher mileages. The more efficient replacement plan will identify and make provision for individual vehicles whose costs are higher or lower than

average. A number of replacement programs are currently available for purchase. One of these, developed by the Local Government Operations Unit, Reading, England, consists

of a set of charts which may be used to simplify replacement determination.^^ The

charts are geometric representations of equations, and are provided for different rates of discount and depreciation. To use the charts, it is necessary to have a record of total maintenance and repair cost over the life of the vehicle to date, and further, an estimate

of the cost expected to be incurred over the coming period. The charts define the

maximum amount which can be spent on a vehicle in the coming period without

increasing annualized cost. If the estimate exceeds this limit, replacement is indicated.

While the charts might aid computations, they do not overcome the more difficult part

of replacement analysis—the development of good historical cost data and the ability to forecast future costs on an individual basis.

Computer programs are available to assist in determination of vehicle replacement,

as well as time for repair of vehicles. Again, implementation of these programs requires

vehicle operating and maintenance cost data and resale values. The expense history file

is used in programs which determine cost parameters by vehicle type.

Regardless of whether the department aims at developing an in-house replacement

policy or purchases outside assistance, it is clear that up-to-date cost information will be

needed. In developing necessary cost records, there are also extant guides, programs,

and cost control systems which may aid the manager.^

It should edso be noted that the methodology for determining car replacement

described in this section for patrol cars is applicable to a wide range of vehicles and to other kinds of assets.

3.5.2. Replacement of Police Cars: illustrative Cases

This section uses a present value replacement model and maintenance cost data

drawn from police departments to examine replacement of police patrol cars. The

purpose is to determine the kinds of replacement schedules which are generated when

actual police maintenance cost data are used to exercise the replacement model, and to

test the sensitivity of the results to variations in the cost data. No attempt has been made to explore fully the intricacies of the data bases used

as sources for this analysis, or to refine the analysis so as to derive precise replacement

schedules for those departments from which data were gathered. Furthermore, not all of

Local Government Operational Research Unit, Royal Institute of Public Administration, Vehicle Replacement Chans ; Operating Manual , Report

No. C.81. Reading. England. January, 1971.

58 Aids to vehicle management are offered by both commercial and public organizations. For example, Mainstem. Inc. offers a cost accounting and

expense control system; Public Technology, Inc. offers a municipal vehicle replacement package; American Association of Public Works has developed an equipment management program and offers a group of vehicle-related management services; the Municipal Finance Officers Association of the U.S. and Canada provides a guide to accounting practices for government owned and operated vehicles; IBM's Field Development Program has developed a vehicle maintenance and cost analysis system which provides programs to assist in controlling vehicle maintenance cost. (No attempt has been made by this study to assess the utility of individual programs and services, and no endorsement of the above programs and services is intended.)

77
the data were empirically determined; depreciation data are largely estimated. The

reader is reminded and cautioned that findings in this selection are based on specific

assumptions and costs , and may not be generally applicable

.

As was seen already, the critical elements in replacement determination are how

running expenses and depreciation behave with vehicle age and use. With respect to depreciation, we saw earlier that the resale vedue of patrol cars appears typically to drop

faster than for private cars, but the general pattern of decline appears about the same. Hence, even though there is substantial variation in depreciation rates among

departments, the range of depreciation which would be experienced by most

departments can likely be covered by exercising the replacement model with

depreciation rates ranging from a rate comparable to that on private cars to a very high

rate of, say, 50 percent of remaining car value per year. For this reason, it appeared

unnecessary to trace in detaU police car resale or trade-in values specificaUy matched

with empirical maintenance and repair cost data. These may be easily approximated.

Establishment of the "typical" relationship between running cost and police

vehicle mileage/age proves to be more difficult. Both intuitively and on the basis of the

literature, the expected relationship is a rise in maintenance and repair cost with a

vehicle's age and use. The rate of change is, however, by no means clear. From an

empirical standpoint, data samples are generaUy distorted by existing replacement

policies. For instance, replacement at 50,000 mUes (80,000 km) precludes obtaining cost data for vehicles with higher mileages. And, to the extent such data exist, they will likely be biased, representing vehicles with lower than average costs which have been

retained in the fleet longer than usual.

Despite these problems, an attempt was made to establish the approximate

relationship between maintenance and repair cost and mileage for a sample of police

departments. Cumulative maintenance cost data for different mileages were collected

for sample vehicles from seversd fleets. Statistical techniques were used to fit a curve of "best fit" to each set of data and

to predict maintenance costs based on mileage at 1,000 mile (1,600 km) intervals. The

samples were designed to include vehicles of similar functional type. Because of the

relatively high usage rates for patrol cars, there was little difference in the model years

of cars contributing high and low mileage data within a sample. The rate of accrual of mileage was ignored, the only mileage distinction being accumulated mileage. Thus, the

cost predicted for any given mileage reflects the average cost experience of all cars in the sample then at that mileage.

Table 36 shows the computed costs per mile of maintenance and repair at the

sample police departments for successive intervals of 5,000 miles (8,000 km) each.

Exhibits 10, 11, and 12 are plots of actual cumulative maintenance and repair data,

along with a "best fit" curve for each of three groups of sample data. Only the sample group of 29 medium-size city departments shows continuously

rising maintenance and repair cost per period or per mile as vehicle age and usage

increases. Each of the three samples drawn from individual departments showed

increasing maintenance cost per mile up to at least 35,000 miles (56,000 km). One of the

three samples subsequently showed a falling cost per mile for all mileage over 35,000

miles (56,000 km). Another showed declining maintenance cost per mUe from 35,000

(56,000 km) to 65,000 miles (105,000 km), but rising thereafter, while the third showed

increasing cost per mile up to 60,000 miles (97,000 km), but dechne thereafter. What accounts for the behavior of these cost data? It was beyond the scope of this study to make the in-depth inquiry necessary to fully understand the behavior of the

data, but there are several simple reasons which might account for an apparent

decUning running cost as mileage increases. For one thing, costs are accrued at different rates of price inflation. Then, too, "lemons" are culled from a fleet over time,

hence mechanical failure rates decline. In addition, it is possible that departments tend

78
patrol cars, by type of department

($/mi)

Mileage interval

0 5,001 10,001 15,001 20,001 25,001 30,001 35,001 40,001 45,001

to to to to to to to to to to 5,000 10,000 i5,000 20,000 25,000 30,000 35,000 40,000 45,000 50,000

Medium-size

city depart- ment' .025 .052 .0690 .077 .080 .077 .071 .064 Large city department^ .018 .026 .029 .032 .035 .037 .038 .040 .041 .041 State highway

patrol^ .024 .034 .047 .057 .064 .068 .070 .069 .064 .057 County

department * .02 .03 .03 .03 Group averjige

for 29 city departments .026 .027 .035 .037 .041

50,001 55,001 60,001 65,001 70,001 75,001 80,001 85,001 90,001 95,001

to to to to to to to to to to 55,000 60,000 65,000 70,000 75,000 80,000 85,000 90,000 95,000 100,000

Medium-size

city depart- ment ' .056 .051 .049 .052 .062 .080 .108 .148 .200 .270 Large city department^ .041 .041 .040 .039 .037 .035 .033 .030 .026 .023 State highway

patrol^ .04S .035 County

department^ .03 .04 .05 .05 Group average

for 29 city departments .043 .046 .052' .057' .063'

See exhibit 10. Cost data include tire expennes and maintenance and repair. ^See exhibit 11. Cost data include tire expenses and maintenance and repair. '^See exhibit 12. Cost data include gasoline, oil, and tire expenses, in addition to maintenance and repair cost. "^Costs per mile computed from simple averages of the raw data.

'"^See table 27; data provided by Mainstem, Inc. Values for mileage intervals above 60,000 miles are estimated. It was assumed that cost would

continue to increase at a rate of 10 percent for every 10,000 miles. NOTE: Cost per mile data for each mileage interval were computed on the basis of cost incurred in that interval only. To calculate rosi per mile

for each interval, the average cumulative cost at the beginning of the mileage interval was subtracted from average cumulative cost at the end of the mileage interval. Remaining costs were then attributed to that interval.

79
Exhibit 10. Cumulative maintenance and repair cost as a function of mileage for patrol

cars of a large city.

11

3 15 27 39 52 64 70 Mileage (in thousands)

80
Exhibit 12. Cumulative maintenance and repair cost as a function of mileage for patrol

cars of a State highway patrol department.

m 4 : JOoa

o

c

Mileage (in thousands)

to reduce the level of preventive maintenance as vehicles approach the usual

replacement age or mileage. If the vehicles are replaced shortly thereafter, the reduced

preventive maintenance might not yet be reflected in higher breakdown and repair, and

the net impact may therefore be a reduction in maintenance and repair cost. Additional

research and more extensive data collection would be required to provide more accurate measure of parts and labor requirements for patrol cars as they age. Despite possible distortions in the data, they are nevertheless useful for testing the

replacement model and also for illustrating the large variation in cost% among individual

cars. In particular, it should be noted that the graphs display a large dispersion of data

about the fitted curves, especiedly at higher milezige. This variation underscores the

need to review vehicles on an individual basis when evaluating the best time for replacement.

Substantial variation in maintenance for different cars by make and model is indicated by Exhibit 13, which shows average cumulative repair costs based on mileage

for five different car makes and models, all operated in the same state highway patrol

department. The average economic lives of the different makes and models also differ. Optimal replacement time wUl now be determined for a patrol car, based on the

maintenance cost data shown in table 36, for alternative levels of car utilization and

rates of depreciation. These calculations are presented in a series of tables from 37

through 44.

First, consider the effect which changes in the rate of depreciation have on the

optimal replacement schedule. Tables 37, 38, and 39 are all based on an average annual

car mileage of 40,000 miles (64,000 km) and maintenance data for the sample group of 29 cities (partially estimated). As shown in table 37, with a very low and gradually

declining rate of depreciation and relatively high and increasing maintenance cost, very

early replacement (after only one-half year) is economical. However, the information

gathered by this study indicates that the rate of depreciation assumed in this table is probably unrealistic for patrol cars.

81
Exhibit 13. Average cumulative maintenance cost as a function of

mileage for patrol cars of different make and model.

5,000 15,000 25,000 35,000 MILEAGE

*Co3t does not include gasoline; does not include tires. NOTE: A, B, C are 1972 models; D, E are 1971 models. Table 37. Optimal patrol car replacement, based on maintenance and repair cost for a sample of 29 cities, assuming annual mileage of 40,000 (64,000 km) and a 6 percent quarterly depreciation rate

Quarterly

maintenance Estimated

Period Cumulative and resale Present

(quarters) mileage repedr value value ^

1 10,000 $256 $2,533 $6,876

* 2 20,000 273 2,381 6,832 * 3 30,000 345 2,238 6,964 4 40,000 366 2,104 7,022 5 50,000 408 1,978 7,090

Depreciation is computed on a middle-of-the line, iiitermediate-size car, costing $2,695 in 1973. Six percent of the declining balanc e is taken each

lime for that quarter's depreciation. This amounts to a decline of 22 percent of the purchase price over the first year and 17 percent of the purchase pric » over the second year, lower rates than those usually experienced by patr rC + R- (n)-S- (n)l

' PV(n) = - i-(i+i)-» — (terms are defined on page 89)

• Denotes optimal point of replacement.

In table 38 the rate of depreciation is assumed to be 10 percent per quarter over

the life of the vehicle: this amounts to 34 percent dechne in the new car price over the

first year and 23 percent of the original price over the second year. This is probably less than typical patrol car depreciation, but is probably attainable by departments which

follow good resale practices. Under the stated conditions, optimal replacement is at one and one-half years and 60,000 miles (97,000 km).

82
Table 38. Optimal patrol car replacement , based on maintenance

and repair cost for a sample of 29 cities, assuming annual mileage of

40,000 (64,000 km) and a depreciation rate of 10 percent per quarter

Quarterly

maintenance Estimated

Period Cumulative and reside Present

(quarters) mileage repair value ' value

1 10,000 $7,965 2 20,000 273 2,182 7,780 3 30,000 345 1,964 7,789 4 40,000 366 1,768 7,744 5 50,000 408 1,591 7,724

• 6 60,000 430 1,432 7,695 * 7 70,000 473 1,289 8,182

1 Depreciation is computed on a middle-of-the-line. intermediate-size car. costing $2,695 in 1973. Ten percent of the declining balance is taken each

time for that qilarter^s depreciation. This amounts to a decline in value of 34 percent of thi2 purchase: price over the first year, and 23 percent of the purchase price over the second yeai^rates which appear tower th.an typical police car depreciation, but obtainable by some departments. *Optima] point of replacement.

Table 39. Optimal patrol car replacement , based on maintenance

and repair cost for a sample of 29 cities, assuming annual mileage of

40,000 (128,000 km) and a depreciation rate of 20 percent per quarter

Quarterly

maintenance Estimated

Period Cumulative and resale Present

(quarters) mileage repair value ^ value

1 10,000 $256 $2,156 $10,649 2 20,000 273 1,725 9,954 3 30,000 345 1,380 9,566 4 40,000 366 1,104 9,177 5 50,000 408 883 8,884 6 60,000 430 706 8,634

7 70,000 473 565 8,447 8 80,000 520 452 8,311 9 90,000 572 362 7,798 10

* 100,000 629 290 7,375

*

1 Depreciation i s computed on a middle-of-the-line. intermediate-size car, costing $2,695. T"wenty percent of the remaining value is taken each time

for that quartet's depreciation. This amounts to a decline of 59 percent in the original cair price ov€;r the first year, and 24 percent iof the new car

price over the second yeai^high depreciation riites, but not uinlike those which appear to be experienced by many city and county police departments. •Optimal economic point of replacement; in this case not occurring within the time frame examined.

Very rapid depreciation is examined in table 39. It is usually uneconomical to replace a patrol car early if it quickly loses most of its resale value. In this circumstance, the car should be retained in service, as long as performance and safety

criteria will permit, in order to minimize long-run cost. Car utilization rates also affect optimal replacement schedules. Table 40 shows

very early replacement for a car which accumulates mileage rapidly, even though

depreciation is also assumed to be rapid. In contrast, table 41 shows that it can be

uneconomical to replace a car early if it averages low annual mileage, even if depreciation is also low.

The sample data from three departments (see tables 42, 43, and 44) indicate that

their maintenance and depreciation experience makes it uneconomical to replace cars

until required for safety, performance, or other similar criteria.

83
Table 40. Optimal patrol car replacement , based on maintenance

and repair cost for a sample of 29 cities, assuming annual mileage of

80,000 (128,000 km) and a depreciation rate of 20 percent per quarter

Quarterly

maintenance Estimated

Period Cumulative and resale Present

(quarters) mUeage repair value

value

* 1 20,000 $529 $2,156 $13,377 * 2 40,000 711 1,725 13,468 3 60,000 838 1,380 13,510 4 80,000 993 1,104 13,622

1 Depreciation rate of 20 percent of the remaining balance. See footnote I to table 39 for a fuller explanation. ^Optimal point of replacement.

Table 41. Optimal patrol car replacement , based on maintenance

and repair cost for a sample of 29 cities, assuming annual mileage of

20,000 (32,000 km) and a depreciation rate of 6 percent per quarter

Quarterly

maintenance Estimated

Period Cumulative and resale Present

(quarters) mileage repair

'

value ^ value

1 5,000 $128 $2,533 $5,638 2 10,000 128 2,381 5,467 3 15,000 137 2,238 5,384 4 20,000 137 2,104 5 25,000 173 1,978 6 30,000 173 1,859 5,212 7 35,000 183 1,747 8 40,000 183 1,642 9 45,000 204 2,543 10 50,000 204 1,450 5,053

11 55,000 215 1,363 12 60,000 215 1,281 4,991 13 65,000 237 1,204 14 70,000 237 1,132 15 75,000 260 1,064 16

* 80,000 260 1,000 4,904

*

1 The breakdown of maintenance cost was for 10,000 n\ile (16,000 km) intervals; no attempt wiss made to estimate maintenancee cost by 5,000 mile

^8.000 km) intervals. See footnote 1, table 37. ^Optimal point of replacement, in this case not occurring within the time frame examined.

84
Table 42. Optimal patrol car replacement , based on sample data for maintenance and repair cost from a medium -sized city police department

,

assuming annual mileage of 30,000 and rapid depreciation

Yearly Estimated Cumulative maintenance resale Present Year mileage cost

'

value' value

1 30,000 $1,650 $1,720 $3/,oUU

2 60,000

' 1,980 560 35,559 3 90,000 2,490 140 33,784

Derived from table 36.. Average cost per mile over the assumed annual mileage range was multiplied by the number of miles to obtain yearly mainlenance cost (e.g.. the average cost per mil<e over the range 30,000 to 60.000 is $.066; 30.00x$. 066-$ 1.980). Based on resale values for a middle-of-the-line. standard-size car purchased for $.3,500, a:3 estimated in table 11. •Optimal economic point o{ replacement, in this case not occurring within the time frame examined.

Table 43. Optimal patrol car replacement , based on sample data for maintenance and repair cost from a large -sized city police department

,

assuming annual mileage of 30,000 and rapid depreciation

Yearly Estimated Cumulative maintenance resale Present Year mileage cost

'

value' value

1 30,000 $ 885 $1,500 $28,889 2 60,000 1,200 410 26,745 3

* 90,000 1,080 30 23,205*

Derived fi 2 rom table 36. For explanations, see footnote 1, table 42. Based on resale values for a bottom-of'the-line, standard-size car purchased for $3,185. The estimates of resale value wer<! derived by the procedure described in footnote 1 of table 39. •Optimal e:conomic point of replacement, in this case not occu rring within the time frame examined.

Table 44. Optimal patrol car replacement , based on sample maintenance

and repair cost from a State highway patrol, assuming

annual mileage of 30,000 and moderate depreciation

Year

Cumulative

mileage

Yearly

maintenance

cost

'

Estimated

resale value'

Present

value

1 30,000 $1,470 2,310 30,099 2 60,000 1,710 1,610 28,329 3 90,000 1,988' 1,190 27,539

* *

Derived from table 36.

2 Based on resale values for a middle-of-the-line, standard-size car purchased for $3,500, and depreciation 34 percent in the first year, 20 percent of

original value in the second year, and 12 percent in the third year. The relatively low rate of depreciation leflects actual experience of the department from which the maintenance cost data were taken. Estimated. The department from which the sample data were drawn replaced cars at approximately 60,000 miles. Hence, no costs were available

for cars operating at higher mileage. Here it is assumed that the rate of increase in costs from the first year to the second would continue over the

third year. (The estimate was not based on an extrapolation of the fitted curve shown in exhibit 12, because the data were fitted by a high-order polynominal function which allows good fit of existing data, but is poor for the purpose of making projections.) *Optimal economic point of replacement, not occurring within the time frame examined.

85
A recent study by the General Accounting Office of the General Services

Administration's (GSA) interagency motor pool recommended a 1-year replacement

policy for sedans instead of the existing 6-year/60,000 mile (97,000 km) policy.^' (Five

other GAO studies over the previous 16 years also concluded that substanticd cost reductions could be achived by shortening the replacement period.) A comparison of the

present value cost of alternative replacement cycles showed minimum cost for a 1-year

cycle and increasing cost for cycles from 2 to 4 years in length. However, this result appeared mainly attributable to the fact that there was essentially no depreciation on the

cars over the first year. GSA purchases cars at a sufficient discount to offset most of the normal first year

decline in value, and cars can be sold after a year for close to the original price.

Maintenance and repair cost per period and per mile, on the other hemd, were found to increase progressively with time. The study finding of a 1-year optimal replacement

period is, therefore, completely consistent with the conclusions of this report. (In table

37 it was shown that early replacement is efficient when maintenance and repair costs per mUe are rising relatively fast and the rate of depreciation is low.) However,

depreciation of the typical patrol car does not appear to be the same as that for GSA

motor pool cars, and, therefore, the recommended GSA poUcy may not be appropriate

for police cars. To summarize the foregoing, there are no hard and fast rules for vehicle

replacement. On the contrary, emphasis should be on the sensitivity of replacement

policy to specific departmental characteristics. In particular, optimal replacement policy

will depend on the rate of depreciation, the rate of car utilization, and the change in maintenance cost with increased vehicle mileage and age. These factors differ with

individutd cars, makes and models of cars, functional types of vehicles, and among

departments. Nevertheless, the foDowing generalizations can be made:

(1) The greater the depreciation at the outset, the greater the advantage of retaining vehicles longer.

(2) The lower the rate of utilization, the greater the advantage of retaining vehicles

longer.

(3) Maintenance and repair costs must increase fairly sharply with age and mileage

for declining depreciation per unit time to be offset.

(4) Declining performance and reduced reUabUity are vital factors in determining

replacement if cars depreciate rapidly, are used at low rates, or have costs which do not

escalate significantly with increased use.

3.6. Life Cycle Costs of a Typical Patrol Car

Exhibit 14 shows the cash flow (direct expenses only) of a "typiciJ" patrol car purchased and operated in the 1972-73 period. The initial cash outlay is close to $5,000

including purchase of new equipment (which is assumed to have a 10-year life). In each

of the 2 years the car is in operation, close to $2,000 is expended for gas and oil, tires,

maintenance and repair, cleaning, towing and insurance. At the end of 2 years, $60 is spent for reconditioning and $560 is returned from resede of the car; the equipment has

maintained about $1,000 of its original vidue.

Table 45 restates each direct cost item in terms of uniform annualized cost. Thus

the initial expenditure for the car ($3500) and the receipts at resale ($560) 2 years later are equivalent to a uniform stream of constant dollar payments of $1,750 annually. The

total direct costs (including maintenance, gas, oil, tires, insurance, etc.) amount to $3,918 annually. Adding an overhead cost equal to approximately 10 percent of direct

costs, results in a total annualized cost (in constant dollars) of $4,318.

The pie chart in exhibit 15 depicts the components of direct costs of a

representative patrol car. Depreciation normally accounts for the largest single part of

59General Accounting Office, Potential Savings by Replacing Government -Owned Sedans Each Year, Report to the Congress by the Comptroller

General. No. B-1S8712, Washington, D.C.. June 9. 1971. 86
Exhibit 14. Expenditures and receipts for a typical patrol car: Cash flow diagram.

First Costs

$3,500 purchase car

t ,200 purchase equipment

45 install equipment

$4,745

Year 1

$100 insurance 750 gas and oil 150 tires

' 750 maintenance

and repair, etc.

Year 2

$1 00 insurance 750 gas and oil 150 tires

1 ,020 maintenance

and repair, etc.

$1,750 $2,020

1st YEAR

Indicates $ outlay

2nd YEAR

Indicates $ receipt

Final Expenditure

$60 reconditioning

$560 resale value

of car $1,000 resale value

of equipment

NOTE: The cash flow is based on a standard-size, middle-of-the-line car, operated by a medium-size city police department, used 30,000 miles per year, and replaced at 2 years or 60,000 miles. Figures are approximations, not necessarily applicable to individual departments. It is assumed that equipment

is bought new and has a 10-year life, that the labor wage rate is $7.75 per hour, and that gasoline costs 19t per gallon, with vehicles getting 8 mpg.

Table 45. Annual life cycle cost of a typical patrol car operated in 1972-1973'

Type of expense

Cash flow and

conversion to equivalency

Direct cost: Car depreciation

Equipment

depreciation

Equipment

installation Insurance Cas and oil Tires Maintenance

and repair

Reconditioning

= [$3,500-($560) (SPW, 2 yr., 10%)] (UCR, 2 yr., 10%)

= $1,200 (UCR, 10 yr., 10%)

= $45 (UCR, 2 yrs., 10%

= $100 = $750 = $150

= $[750+(l,020) (SPW, 2 yr., 10%)] (UCR, 2 yrs., 10%) = $60 (SPW, 2 yrs., 10%) (UCR, 2 yrs., 10%)

= $1,750

195

26

100 750

150

918

29

Total direct cost Estimated indirect cost (overhead)^

Total direct and indirect cost

= $3,918 = $ 400 = $4,318

Based on cost data from exhibit 13.

2 Overhead varies greatly among departments, both in actual term overhead which are omitted by other departments. Furthermore,

individual car basis. The rough assumption here is that overhead i of equipment, building and administrative personnel developed in

I and in terms of reporting methods. Some departn

since overhead costs are to some extent fixed, it

. equal to between 10 and 20 percent of indirect cc

,ec. 3.2. overhead cost per car for a fleet of 100 car

Its include items in vehicle

difficult to allocate on an

. (Based on estimated costs

«rould be about $300.)

87
Exhibit 15. Composition ofpatrol car costs, direct cost only.

* Based on cost data from exhibit 14 and table 45. With the recent large increase in fuel prices relative to other prices, gas and

oil costs would now be expected to constitute a larger percentage of total costs.

total direct cost, with maintenance, repair, tires, gas and oU combining to account for a comparable part.

While these costs may be regarded as "typical" for the situation described (see

footnote to exhibit 15) the study has found that life cycle costs of patrol cars can be

raised or lowered considerably by fleet managerial decisions.

4. SUMMARY^®

This report has addressed some of the issues important to the acquisition,

operation, and disposition of poUce patrol cars. In section 1, the major decisions in police fleet management were outlined, the specific questions to be addressed by the

study were set forth, and areas for further research were identified. Section 2 of the

report explained the Ufe cycle costing methods which are used subsequently in the

report to compare the costs of alternatives in fleet provision. Section 3, the main body of

the report, identified the critical elements of costs in providing a patrol car fleet, and

analyzed a number of key decision problems in police fleet management.

Practices regarding car model selection; length of ownership; selection of car

accessories, color, and equipment; reconditioning; timing of resale; and method of car

disposal were examined for ways to reduce vehicle depreciation costs. Another issue examined in section 3 was the relative desirability of ownership as compared with leasing vehicles. The different types of lease arrangements were

described, and both cost and noncost advantages and disadvantages of leasing were

identified. In connection with leasing and ownership, the study compared contract

Principal findings of the study are summarized in the Executive Summary and will not be repeated here.

88
maintenance of cars in private garages with in-house maintenance in police garages. Based on assumptions regarding wage rates, staffing requirements, and other factors, a break-even fleet size was determined, at which point the cost of contracting

maintenance to private garages or performing it in-house would be equal.

Section 3 of the report also looked at operating and maintenance costs for patrol

cars. Empirical data for cars of different sizes and cars used at different levels and in different environments were presented and analyzed for possibilities of cost reduction.

Another major question addressed in section 3 was the comparative economic

efficiency of alternative vehicle driver assignment plans. The types of potentied costs and benefits associated with a personal patrol car program were identified. A general

method for evaluating and comparing the costs of a personal car program and a

multishift, pool car program was described. The cash flows associated with each of the

two vehicle programs are illustrated with realistic data, and the life-cycle costs of a personal car program and a multishift plan were compared under alternative

assumptions.

The fifth part of section 3 investigated replacement of patrol cars. Methods of

determining the point of optimal car replacement were expledned and Ulustrated with

data drawn from police departments. Selected vehicle characteristics were examined for their direction of impact on the economic life of a patrol car. The final section of section 3 provided a brief overview of the life-cycle costs of a

typical patrol car. Each of the main components of direct car costs were shown as a share of total direct costs. This study has demonstrated that there are considerable opportunities in police

fleet management to alter costs of fleet services. It is hoped that the discussions herein

will contribute to greater economic efficiency in the acquisition, operation, and

disposition of patrol cars.

89
APPENDIX A—POLICE FLEET PRACTICES

Through a series of tables, this appendix provides an overview of various aspects

of the management of patrol car fleets. The tables are grouped according to subject:

1 . Police Function, Fleet Size, and Fleet Composition

Table A-1 shows that nearly half of aD patrol cars are in county police

departments, and nearly one-fifth are in state police and highway patrol depeirtments.

There is considerable variation in the average number of patrol cars by type of department.

Table A-2 illustrates the variability among departments with respect to vehicular

functions to be satisfied. It shows a relatively large demand by state highway patrolmen

and county sheriffs for a long distance, high performance car, and priority by city police

to an urban, general purpose car and one suitable for patroUing narrow and congested

city streets. Table A-3 depicts fleet composition for a small sample of departments. The patrol car is the overwhelmingly dominant type of vehicle. The specied emphasis of this report on the patrol car seems well placed.

2. Patrol Car Selection, Accessorization, and Price

Tables A-4 and A-5 show the principal choice of patrol car, by type, to be the

standard size, 4-door car (wheel-base 119-123 in). Tables A-6 and A-7 indicate the frequency with which the different types of departments select available options, and table A-8 shows the frequency of vaudous

modifications.

Table A-9 indicates the types of tires used on a sample of patrol vehicles in 1970.

At that time, most departments in the survey equipped their vehicles with bias-belted or

4-ply bias ply tires. Radial ply tires, while not in great use, were the next most popular

type.

Tables A-10 through A-12 provide price information. According to table A-10, most

departments surveyed paid between $3,000 and $4,000 for patrol cars in 1973; the

remaining departments were about evenly divided in paying higher and lower prices.

Table A-11 shows more detailed price information for most State police and

highway patrol departments and for a few counties and cities. The apparently

substantial variation in bid price on like make and model cars may reflect differences in accessories, dealer services, time and location of purchase, as well as dealer profit.

Table A-12 Usts price estimates for differently equipped police cars based on 1971

averages. The low end of the price range applies to police cars with commonly specified

features, such as heavy duty components, automatic transmission, and air conditioning.

The high end of the range represents the same car with added special equipment, such

as armor protection, other non-standard devices, and specied equipment usuzdly installed

after receipt by the department.

3. Vehicle Utilization

Table A- 13 shows the average number of different drivers per patrol car in the

different types of departments. On the average, 66 percent of state police departments

have only one driver per patrol car per day. This is in sharp contrast to the practice of more than 90 percent of medium and large cities of having 3 or more different drivers

per car each day. Across aU department types, the prevailing practice is to have an

average of at least 3 different drivers daily for each patrol car. Table A-14 indicates the amount of daily usage of patrol cars by department type.

Consistent with their smaller car/officer ratio and multiple drivers per car, cities—and.

90
again, particularly large cities—report high average daily use of patrol cars. In contrast, more than one-fourth of state and county departments use their cars only one shift per

day; most of the remaining state and county departments use their cars no more than

two shifts per day.

Table A-15 shows typical average annual miles driven by a sample of patrol cars, as well as the range of mUes driven by sample departments of each type. Average

mileage of sample county' patrol cars is substantially higher than average mileage of sample city or state patrol cars, which are about equal to one another.

Table A- 16 shows average driving speeds by department type and provides further

information on driving conditions for patrol cars. Between 80 and 90 percent of driving

by officers in city departments is at slow speeds, with many stops. In contrast, 86

percent of driving by state patrolmen involves little stopping, and 64 percent is at speeds of 50 mph or greater.

4. Maintenance and Repair

Table A-17 indicates maintenance work reported by a sample of police

departments. As may be seen, the percentage of departments performing maintenance

work decreases for the more specialized or equipment-intensive kinds of jobs. Almost all sample departments lubricate, change oil, add anti-freeze, and tune engines; many

repair tires, replace fan belts and hoses, shocks and mufflers, clean parts, maintain the

electrical system and repair the fuel pump and carburetor; but relatively few do body

repair or paint jobs. Nearly 20 percent of the sample group do not dispense fuel and oil.

5. Patrol Car Replacement Practices

Table A- 18 indicates that almost all state police and highway patrol departments

use mileage as the main criterion for replacement. It shows that most state patrol

departments do not replace their cars until they have accumulated at least 50,000 miles.

The highest reported mileage limit was 100,000 miles. Of the 13 cities shown, most

replace between 60,000 and 65,000 miles and/or 2 or 3 years.

Table A-1. Distribution of patrol car population in the United States (By department type, 1972)

Estimated

total number Mean number of Average number

No. of of Percent patrol cars of officers Type of department departments patrol cars ' of total per department per patrol car

State 50 29,150 18 583 1.5 Cotinty 3,137 70,896 44 23 2.6 City (1-9 officers) 5,486 10,897 7 2 4.0

City (10-49 officers) 1,985 10,123 6 5 4.4

City (50 -1- officers) 554 15,900 10 29 4.6 50 largest cities 50 16,055 10 321 7.8 Township 1,574 6,296 4 4 3.5 Total 159,317

^ Source: E. D. Bunten and P. A. Klaus, LEAA Police Equipment Survey of 1972. Volume VU; Patrol Cars, National Bureau of Standards

Special Publication 480-7, Jiune 1977, pp. 11-12. Mean number of cars per department were multiplied by the number of departments

of that type. 91
Table A-2. Patrol car functions reported by a sample of police departments

Vehicle function (Numbers of respondents recognizing aCity poUce County sheriff

given need)

State highway patrol

Inner city and urban freeway 61 7 1 (narrow streets, congested

traffic) Urban general purpose 74 8 2

(general patrol) Suburban 15 9 6

(high performance)

Highway patrol sheriff 4 51 39

(long distance, high

performance) Other 6 4 2

Total number of respondents in the survey 122 91 45

Source: Ford Motor Co., Police Car Survey Summary , p. 4.

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Table A-5. Number of departments specifying various sizes of patrol vehicles (1970)

State police and City and county

Size of 1970 model highway patrol police depiirtments Total

Compact (under 114 in wheelbase)

Intermediate (115 to 118 in) -- 4 4

Standard (119 to 123 in) 42 24 66

Large (over 123 in) 3 2 5

45 30 75

Source: NAFA Law Enforcement Croup. Police and Highway Patrol Vehicles Specifications Survey. National Association o{ Fleet Administrators,

Inc.. New York.

Note: This survey comprises comprehensive coverage of state highway patrol departments, hut very small coverage of city and county police departments.

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Table A-7. (Engine and equipment specifications on 1970 patrol cars

(Number of respondents indicating each item)

State police and City and county

highway patrol police depts. Total

Engine specified in 1970 vehicles: 6 cylinder standard V-8

high performance V-8 Cars equipped with:

6

41 Yes No

1 23

7 Yes No

1 2948 Yes No

Power steering 33 11 24 5 57 16 Power brakes 43 1 24 5 67 6 power drum 9 5 14 power disc 43 21 64 heavy duty 14 14 28

Air conditioning 32 12 18 11 50 23 Bucket seats 2 38 2 26 4 64 Automatic transmission 44 28 72 Do you use a console? 7 34 4 24 11 58

Source: NAFA Police Vehicle Survey.

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Table A-9. Type of tires used on patrol cars, 1970

State police & City & county

Type of tires used highway patrol police departments Total

Radial 5 6 11 Bias belted 15 11 26

4 ply bias ply 17 14 31 4 ply bias/2 ply belt 3 3

6 ply nylon 4 1 5

4 ply nylon 3 3

Police special (4 ply) 1 1 5 ply 1 1

Source: NAFA, Police Vehicle Summary

.

Table A-10. Distribution of purchase prices for new patrol cars in 1973, by department type

Percentage of departments purchasing in each price range

$4,000 $3,000- Under No

Department type or more $3,999 $3,000 Answer

Township 24 62 13 0 County 23 55 13 8

City (1-9 officers) 19 69 12 0

City (1049 officers) 16 73 10 2

State 9 91 0 0

City (50 or more

officers) 5 83 12 2 50 largest cities 4 74 22 0 AU department types 14 72 12 2

Source: Bunten/KJaus survey, p. 25.

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Table A-12. Estimates of car prices by police departments , 1971

With

standard

features

With

optional features

'

Highway patrol and

sheriff car $3,500 $5,000

Suburban police car 3,200 4,500

Inner city and urban

freeway car 3,000 3,500

Urban general purpose

car 3,000 4,000

"Standard features" include the heavy duty components of the police package, automatic transmission, air conditioning and other featuren u»ually included on police cars; "optional features" refers to such add-ons as armor protection, vandalism and external fire protection devices, special pusher bumper, rear seat isolation and restraining kits, built-in speed measurement device, 4-wheel drive, front mounted winch, self-reeling starter jumper, tights, flashers, sirens, buUhorns, etc.

Source: Ford Motor Co.. Police Car Survey 16-19,

Table A- 13. Number of drivers per patrol car in state ^ county, and city departments

Percentage of departments having an average of

1, 2, 3 or more different drivers each day

Department type One Two Three More than three

State 66 28 4 2 County 51 25 18 7 City (1-9 officers) 12 20 45 23 Township 10 17 55 14 50 largest cities 4 2 52 41

City (50 or more

officers) 1 10 64 27

City (10-49 officers) 0 4 61 34 AU department types 19 14 45 22

Source; Bunten/Klaus Survey, p. B-7.

Table A-14. Average daily patrol car use by department type

Average daily hours of patrol car use

(by percentage of departments)

Department type 17-24 hours 9-16 hours 4-8 hours Under 4 hours

50 largest cities 80 20 0 0

City (50 or more

officers) 80 19 0 0

City (10-49 officers) 79 18 3 0

City (1-9 officers) 62 30 2 5 Township 52 34 14 0 County 17 47 20 7

State 6 68 26 0

All department types 57 32 9 2

Source: Bunten/Klaus Survey, p. B-7.

101
Table A-15. Patrol car mileage , by department type

Department type

Annual miles per patrol vehicle

Mean Range

Cities ^ 34,000 17,000-^,000

Counties ^ 53,000 40,000-70,000

States ^ 35,000 10,000-55,000

Based on interview and published data from 10 cities—2 small. 3 medium, and 5 large in size. Means for each size group were 36,000. 32.000, and 35.000, respectively.

^ Based on interview data from three counties in northeastern states.

^ Based on interviews and published data from lACP, Comparative Data Report, p. 49.

Table A- 16. Mean percentages of total driving time expended in each speed/type category, by department type Mean percentage of total driving

All dept. City (50 or City (1-9 City (10- 50 TownSpeed type types more officers) officers) 49 officers) largest ship County State

25-30 mph, many

stops 44 63 59 59 54 23 13 4

30-50 mph, many

stops 24 26 25 22 28 41 22 10 35-50 mph, few

stops 12 6 6 8 8 25 19 22

50-70 mph 15 4 5 6 6 8 37 51 Over 70 mph 4 1 2 2 2 2 7 13

Source: Bunten/Klaus Survey, p. B-11.

Table A-17. Performance of police departments performing maintenance function,

by specific type of maintenance performed

Mfdntenance

function

Percent of police

departments performing

maintenance functions

(35 departments

reporting)

Lubrication 91 Engine tune-up 89

EHectric maintenance 83 Brake relining 69

Tire repair 80

Engine major overhaul 66

Fuel pump and carburetor 80 Wheel balancing 51 Fuel and oil dispensing 83 Body repair 31 Car washing 57 Qax painting 34 Fan belts and hose 86 Shock replacement 83

Muffler replacement 83

Psuls cleaning 86

CHI filter change 89

Radiator winterizing 91

"AF'a Car Fleet 'Morket Study." Automotive Fleet. June 1970, pp. 24. 25.

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APPENDIX B—SAMPLE LEASING AND MAINTENANCE AGREEMENTS

B-1 B-1: Sample Maintenance-Lease Contract

(For Vehicle Lease With Service Provided)

THIS AGREEMENT, made this day of

. , by and between

. , referred to as "The Leasing Co." and the CITY OF

referred to as "the City";

In consideration of the mutual covenants herein stated, the parties agree as

follows:

1. Term. The term of this agreement shall be one (1) year from and after the

date hereof, and shall renew itself for additional annual terms of one (1) year each

unless either party cancels in writing at least thirty (30) days prior to the end of the

original term or renewal thereof. 2. Motor Vehicles Covered. During the term of this agreement, the Leasing

Company wiU perform the maintenance hereinafter set forth, and will perform all of the

other covenants herein, on the terms and conditions specified, with respect to motor

vehicles owned by the City, and purchased from

The Leasing Company which has the specifications set forth in Schedule "A", attached

hereto and made a part hereof. Any such vehicles to be covered by the terms of this agreement shall be set forth in a memorandum, dated and signed by the parties, which

thereafter shall be an addendum to this agreement.

3. Applicability of Agreement to Other Vehicles. The Leasing Co. will provide the maintenance hereinafter set forth and perform all of the other covenants

herein, with respect to other motor vehicles owned by the City, on the same terms and

conditions, except that the per mile maintenance charge and the minimum mileage shall be as mutually agreed upon by the parties for any such vehicles. Any such vehicles to be covered by the terms of this agreement shall be set forth in a memorandum, dated

and signed by the parties, which shall specify the term, per mile maintenance charge

and minimum mileage, and which thereafter shall be an addendum to this agreement.

4. Maintenance Charges. For each motor vehicle covered by this agreement,

the City will pay to the Leasing Company, a maintenance charge of per mile for each mile said motor vehicle is driven, or such other

per mile maintenance charge as may be specified in any addendum to this agreement;

provided, however, that in any event, the City will pay to the Leasing Co., maintenance

charges at the specified rate for a minimum of miles per year, for the entire fleet of motor vehicles covered hereunder. The maintenance charges aforesaid

shall be payable by the City in monthly installments, based upon the specified rate per

mile, for each mUe said motor vehicle is driven during the month. The City shall report

in writing to the Leasing Company the number of miles driven by each vehicle each

month, on or before the 10th day of the succeeding month, and shall at the same time

make payment to the Leasing Company at the rate specified.

a. The City agrees to return said motor vehicles to the Leasing Co. or to such

place as the Leasing Co. shall designate after each 4,000 mUes said motor vehicle has

been driven, but in any event at least once in every sixty (60) days, and to leave said

motor vehicle at such times for such reasonable periods which may be required to permit the Leasing Co. or its agents or subcontractors to properly service and maintain

said motor vehicle in good working condition.

61 These documents are included merely to illustrate the kinds of leasing and maintenance agreements which poUce departments might enter into, and are in no way recommended (or adoption by police departments in general.

105
b. During the term of this agreement, the Leasing Company will furnish to the

City, from 8:00 a.m. to 5:30 p.m., Monday through Friday, at its place of business or at a service headquarters located convenient to the storage place of said vehicles in the

City, all the necessary oils, lubricants, tires, parts, and labor necessary to maintain said

units in good operating condition and repair for the term of this agreement and to v\rash

the exterior and clean the interior of each unit once each week. The Leasing Co. further

agrees to call or cause to be called for any said unit which may be disabled and to furnish or cause to be furnished wrecker service if necessary in connection therewith.

Such maintenance services shall be furnished or caused to be furnished at the following

times:

General maintenance Every 6,000 miles or sixty (60 days)

Operating repairs As required

Repair parts As required

Tire maintenance As required

Tire repair As required

Lubrication Every 4,000 miles or sixty (60) days

Oil change Every 2,000 miles or sixty (60) days

Anti-freeze Permanent type

Washing As needed

Oil Premium brand or per factory specifications; as required

Snow Tires for Winter, or Acceptable Alternate

c. The Leasing Co. further agrees that it will provide or cause to be provided to the City priority in the maintenance, repair or replacement of parts and equipment.

d. The Leasing Co. further agrees to furnish or cause to be furnished emergency

maintenance for tire repair or replacement and breakdown repairs or parts on a twentyfour (24) hour basis daily seven (7) days a week, whether furnished by the Leasing Co.

or by such persons or firms satisfactory to the City who shall subcontract.

e. The Leasing Co. shall not be obhgated to repair, nor be liable for, any damage

to said vehicles caused by accident, or other casualty, including vandalism, riot, civil disorder, insurrection, fire theft or windstorm, nor for any repairs or service made

necessary by failure of the City or the City's drivers, agents or employees to use

ordinary care and diligence in the maintenance or operation of the motor vehicles or to follow written instructions furnished by the vehicle manufacturer.

f. The City shall furnish all gasoline necessary for the operation of each motor

vehicle according to the manufacturer's specifications and shall furnish any and all other

maintenance or service desired which is not specifically the obligation of the Leasing

Co. hereunder.

5. Performance Bond. The Leasing Co. shall furnish a surety performance

bond in the amount of TEN THOUSAND ($10,000.00) DOLLARS, conditioned that the

Leasing Co. or its subcontractors shaU perform the obligations assumed by the Leasing

Co. under this contract with regard to maintenance.

6. Use of Vehicles. This agreement contemplates that the motor vehicles

hereunder are to be used for municipal pohce department service only, and the City

may not put the unit to a different use substantially affecting the amount of service

required by the Leasing Co. in carrying out this agreement, without first obtaining the

written consent of the Leasing Co. thereto, and renegotiating a mutually satisfactory

maintenance rate per mile. 7. Purchase of Vehicles. The Leasing Co. agrees that at the end of three (3) years after the date of each memorandum attached hereto with respect to a motor

vehicle covered hereunder, or after said vehicle has been driven 60,000 miles,

whichever occurs first, the Leasing Co. will, if so notified by the City, purchase said

106
vehicle from the City at the original dealer invoice cost of said vehicle. In the event the

City elects to have the Leasing Co. purchase any of said vehicles hereunder, it shall so

notify the Leasing Co. in writing within thirty (30) days after the expiration of said three

(3) year term, and the purchase shall be consummated as soon thereafter as is practicable. In such event, the City shaU deliver each of said vehicles to the Leasing

Co. free from all liens and encumbrances, and in good condition and repair, reasonable wear and tear expected.

8. Destruction or Loss of Vehicle. In the event any motor vehicle hereunder

is lost or stolen, or damaged beyond repair, then all obligation of Leasing to repurchase said vehicle under the provisions of paragraph 7 hereof, shall cease and terminate; provided, however, that Leasing

will, in the case of damage beyond repair, repurchase said vehicle for its salvage value. 9. Emergency Conditions. It is agreed that delay or failure by either of the

parties hereto in the performance of any of their respective obligations in accordance

with the terms of this agreement because of circumstances beyond the control of such

parties shall not be construed as a breach of this agreement. Included in such

circumstances, but not by way of limitation, are: war, riot, fire, acts of God, and

inability to procure materials from any source. However, in the event of a strike or lockout involving the Leasing Co., it shall be obligated to make other arrangements at

its expense so as to uninterruptedly continue the service required of it under this agreement.

IN WITNESS WHEREOF, the parties have hereunto caused their names to be

signed and their seals to be affixed, the day and year first written above.

IN THE PRESENCE OF: LEASING COMPANY

By

Its

Appendix B-2: Sample Maintenance Arrangement with Private Vendors,

for Provision of Services Only

Attention is called to the following features of the terms of bid aimed specifically

at cost control: (1) Labor charges are not to exceed the schedule suggested in the Flat

Rate and Parts Manual or the manufacturer's recommended flat rate schedule. (2) Maximum permissible charges are stated for specific jobs, and no bids in excess of these maximum rates are to be accepted by the department. (3) The department

reserves the right to cancel any contract, and to allocate work among vendors as it desires. The price and time limitations are aimed at avoiding possible price collusion

among private vendors; and retention of the freedom to allocate work among vendors

provides the flexibility needed to promote competition and to obtain economical

maintenance service on a continuing basis. Other provisions regarding the priority of service, etc., are included to make the contract service effective. Sample

You are invited to submit, hereon, your quotation for providing vehicle service

and/or repair as required by the County Government. Vehicles serviced or repaired

under the terms of this bid shall include, but not necessarily be limited to, administrative sedans, police automobiles, and light trucks.

PRICES AND PROPOSALS: Prices quoted shall apply to any and all vehicles to be

serviced under the terms of this bid. Note: Prices and rates are to be entered in two (2) places on attached forms. The Quotation Sheet and Summary Sheet provided.

107
The time (labor) charged for any and all service or repair rendered under the terms

of this bid shall in no way exceed the suggested schedule as outHned in the current

edition of "Motors" Flat Rate and Parts Manual, or the manufacturer's flat rate schedule. Note: Bid Award will be made to the lowest responsive bidder. However, bids

in excess of the maximum permissable rates noted herein, will not be considered.

AWARD OF BID: This bid will be awarded to the vendor or vendors quoting the

lowest prices and meeting the needs and requirements of the County, by District. The

County reserves the right to reject any or all bids, or any portion thereof, if such action

is deemed to be in the best interest of the County. Further, the County reserves the

right to extend or alter District lines as may be required to obtain the most complete

and economical coverage.

PRIORITY SERVICE: County vehicles shall receive priority repairs and service with

Police and Fire vehicles (marked and unmarked) being given first priority. Failure to comply with the above stated condition shall constitute grounds for the rejection of your

bid or immediate termination of subsequent contracts. TERM OF CONTRACT: Prices, discounts and labor rates quoted herein shcdl remain

firm for a period of fifteen (15) months.

Subsequent contracts may be cancelled, by the Vendor, by giving a thirty (30) day

written notice of their intention to do so. The County reserves the right to cancel the

contract at any time and without notice if such action will best serve the interest of the

County.

ORDERS: Blanket Purchase Orders will be issued to suppliers, and service will be

drawn on a priority basis, i.e., the prices and rates quoted and location of the vendor's

facility, in relationship to the vehicle requiring maintenance or service, will be the prime

criteria for the selection of the vendor.

The County reserves the right to purchase any, aH, or none of its maintenance

requirements from vendors awarded contracts as a result of the bid. The County further reserves the right to segregate, bid and purchase separately,

any item or service, when the interest of the County may best be served by such action.

The County further reserves the right to add additional vendors if because of distance, price or availability the County finds it more expedient or economical to do so. GUARANTEE: The bidder, if executing a contract embodying the terms and

conditions of this bid request, warrants that the products suppUed to the County shall remain fully in accord with the original equipment manufacturers specifications and to be of the highest quality. In the event the products and service furnished to the County

are found to be defective or do not conform to the specifications, the County reserves

the right to make the necessary change, correction or repair and to return the defective

part(s) to the supplier at the supplier's expense. The cost of such change, correction or

repair shall be considered hquidated damage and shall be charged to the vendor found

to be at fault.

108
Sample Questionnaire for Screening Applicant Vendors

1. Normal Operating Hours—Weekdays ^

2. Normal Operating Hours—Saturdays

3. Normal Operating Hours—Sundays ,

4. Normal Operating Hours—Holidays

5. Can you provide emergency road service?

6. Can you provide 24-hour emergency road service?

7. Number of employees on your regular payroll

8. Number of qualified mechanics on your regular payroll

9. Are you an Authorized State Inspection Station?

10. Do you speciaUze in any one area, i.e., electrical, front end, transmission, etc.?

11. If the answer to Item =fflO is Yes—please list the speciality areas below:

Note: On the enclosed road district map, please mark your

approximate location and return with your bid.

12. List below diagnostic and/or special equipment in your faciUty:

13. List below major fleet-type accounts you are currently serving:

Firm Name

Address

Person to Contact Phone No.

Payment Terms (Net-30 unless otherwise stated)

1. Tune up $

109
Carburetor overhaul A. $

.

B. $.

C. $. D. $.

E. $.

F. $

G. $.

H. $

3. Brake adjustment-minor $

4. Brake adjustment-major $

5. Combination brake adjustment, major $.

6. Air condition service $

6a. Freon $ /lb.

7. Reseal transmission A. $

8. Adjust transmission A. $. C. $. E. $.

G. $.

B. $.

B. $. D. $.

F. $.

H. $.

Transmission overhaul. Discount on major components:.

100% guarantee for a period of. A. $_

B. $_

C. $_

D. $_

E. $_

F. $_

G. $_

H. $_

months.

_A1. $.

_B1. $.

_ CI. $.

_D1. $

_E1. $

_F1. $.

_ Gl. $.

_ HI. $.

10. Front end align $_

11. Spin balance $

12. Mount tubeless tire

13. Mount tubed tire $

.

14. Valve stem $

.per wheel

15. Repair tubeless tire $

.

16. Repair tubed tire $

17. Install skid chains $_

18. R & R wheel $

19. Engine oil $ qt.

20. Transmission oil $ qt.110
21. Change oil (labor) $

21a. Change county-furnished oil $

22. Lubricate $.

23. Install and charge new battery

24. Charge battery $

25. Service and inspection

26. Electrical A. $. B. $

C. $

27. Labor rate $

28. Optional labor rate

29. Parts discount

D. $. E. $.

F. $.

G. $.

H. $.

I. $.

per hour

29a. What price list?

30. Tow to your facility $

31. Tow to other facility—5 miles

32. Tow to other facility—10 miles

33. Tow to other facility—15 miles

AU discounts other than prompt payment shall be included in bid price. Prompt

payment discounts of less than twenty (20) days will not be considered in determining

low bid.

Unless otherwise stated above, payment terms shedl be Net/30 days.

Invoices clearly indicating the work performed, parts used, vehicle number, Ucense

number, mileage, and name of the individual (and badge number when applicable) shall be prepared for each job. A monthly statement, with a copy of aU invoices, shall be

submitted to the using department or agency.

NOTE: Illegible invoices will be returned and no payment be made until such time that a readable copy is submitted

Firm Name & Address:

Handwritten signature by authorized officer of firm or agent:

Printed or typewritten name:

Phone No.: NOTE-COMPLETE QUOTATION SUMMARY SHEET

111
APPENDIX C—REFERENCES

I. REFERENCES CITED IN THE REPORT

1 . Books

Botzow, Herman S., Auto Fleet Management , New York, N.Y.: John Wiley & Son,

1968.

Committee on Standardization of Engineering Economy Notation, Manual of Standard

Notation for Engineering Economy Parameters and Interest Factors , Engineering

Economy Division, American Society for Engineering Education.

Dodge Building Cost Calculator and Valuation Guide, 10th Ed., New York, N.Y.:

McGraw Hill, April-June, 1973, 2-41 and 2-42. National Automobile Dealers Used Car Guide Co., NADA Official Used Car Guide,

Eastern Editions, 1970-1973.

National Used Car Market Report, Inc., Blue Book.

Phelps, Clyde W., The Role of Fleet Leasing in Motor Vehicle Fleet Plans of Business

Firms, Studies in Commercial Financing, No. 4, Baltimore, Maryland: Commercial

Credit Co., 1969, 1-20. Wynne, G. Raymond, Police Transportation Management, Studio City, California: Coda

Publications.

2. Reports and Papers

Automotive Market Report

Britten, A. A., Decision Making in Vehicle Management , Report No. S. 15, Local

Government Operational Research Unit (LGORU), Royal Institute of Pohce

Administration, Reading, England, 1971, 10. Bunten, E. D. and Klaus, P. A., LEAA Police Equipment Survey of 1972, Volume VII:

Patrolcars, National Bureau of Standards Special Publication 480-7, June 1977.

Chaiken, Jan M. and Larson, Richard C, Methods for Allocating Urban Emergency

Units, NTIS Report No. PB-208549, New York, N.Y.: The Rand Institute, May

1971.

Fisk, Donald M., The Indianapolis Police Fleet Plan, Washington, D.C.: The Urban

Institute, October 1970, 43-50. Flowers, Officer Earl and Griswald, Officer James, Take Home Car Program , A Paper

Presented to the Northern Virginia Police Academy, April 10, 1972, 5. Ford Motor Company, Police Car Survey Summary , (undated).

General Accounting Office, Potential Savings by Replacing Government-Owned Sedans

Each Year, Report to the Congress by the Comptroller General of the U.S., No.

B-158712, Washington, D.C., June 9, 1971.

Government Research Institute, The Car Saturation Program of the Cahokia, Illinois Police Department , An Evaluation Report Prepared for the Illinois Law

Enforcement Commission, St. Louis, Missouri, May 1972.

International Association of Chiefs of Police, Comparative Data Report, 1972, 49-51. Local Government Operational Research Unit, Royal Institute of Public Administration,

Vehicle Replacement Charts; Operating Manual, Report No. C. 81, Reading

England, January 1971.

Ludwig, Herbert G., Study of the Police Patrol Vehicle, Report to LEAA, Detroit,

Mich.: Wayne State University, 1971, 161-168.

Massey, Robert, Terms and Definitions for Police Patrol Cars, LESP-RPT-0401.00,

May 1974.

NAFA Law Enforcement Group, Police and Highway Patrol Vehicle Specifications

Survey, National Association of Fleet Administrators, Inc., New York, N.Y.

112
Rowley, John A., "Fleet Car Selection," Paper Presented at the National Association of Fleet Administrators Conference, March 25, 1973, 15, 11, 24, 28, 19. Ruegg, Rosalie T., Life Cycle Costing of Police Patrol Cars: Summary Report,

National Bureau of Standards Interagency Report No. 74-471, NTIS No. COM-74-

10981, Washington, D.C., March 1974. San Felice, Cpl. Giacemo, The Personal Patrol Car Program; An Evaluation Report,

Prince George's County Maryland Police Department, February 1973, 39-42. U.S. Department of Transportation, "Cost of Operating an Automobile," Washington,

D.C.: Government Printing Office, April 1972.

Wilson, Don H., The Take-Home Car Program of the Arlington County Virginia Police

Department , A Research Paper Presented for a University Course, 4-6.

3. Journal Articles

"AF's Car Fleet Market Study," Automotive Fleet, June 1970.

Armstrong, Wayne K., Chief of Police, Rapid City, South Dakota, "Should Your

Department Lease It's Police Cars?" FBI Law Enforcement Bulletin, November

1974, 11-12. Belmonte, Robert M., "Another Look at Large-Scale Intergovernmental Cooperative

Purchasing," Journal of Purchasing , (February 1972), 34-49. "Dealing with the Dealer," Consumer Reports , April 1973, 232. "Growing Lure of Fleet Leasing," Business Management , (December 1969), 40-44. Trager, Al, "Going, Going, Gone!" Commercial Car Journal , ]une 1972, pp. 114-116. "U.S. Cars in Fleets by Type of Business," Automotive Fleet , March 1973, 30.

4. interviews. Correspondence, and Conferences

Albert, Hugh J., Leasing Manager, Hill and Sanders Ford Dccdership, Wheaton,

Maryland, Interview, March 1973.

Carter, David J., Chief, Equipment Division, Department of Property Management,

Arlington County, Virginia, Interview, June 1973.

Cook, William, Interstate Equipment Company Interview, June 1973.

Copser, Dave, Midwest Auto Sales, Inc., Dayton, Ohio, Interview, March 20, 1973. Cox, C. J., Chief, Motor Pool Division, Jacksonville Florida Police Department,

Jacksonville, Florida, Correspondence, May 18, 1973.

Edmonds, R. W., General Sales Manager, Indiana Auto Auction, Inc., Fort Wayne,

Indiana, Correspondence, April 16, 1973.

Grant, Jim, Arizona Department of Public Safety, Phoenix, Arizona, Interview, May

1973.

Hempel, Lt., Bay City Pohce Department, Bay City, Michigan, Interview, March 1973.

Italiano, Cpl., Vehicle Maintenance Division, Prince George's County Maryland

Police Department, Upper Marlboro, Maryland, Interview, April 1973.

Jones, James C, Equipment Analyst, Transportation Division, City of Pasadena,

California, Correspondence, April 19, 1973.

Kogachi, Capt., Finance Department, Honolulu, Hawaii Police Department, Honolulu,

Hawaii, Telephone Interview, June 1973.

Nathenson, Manager, Lease Plans Development Corporation, Washington, D.C.,

Interview, March 1973.

National Association of Fleet Administrators, Inc., Annual Conference, Detroit,

Michigan, March 25-28, 1973. (Many NAFA members, including police and other

fleet administrators in addition to those listed separately, were interviewed during

the course of the Conference.)

Pepper, Capt. Vaughn G., Chief, Motor Vehicle Section, Maryland State Police,

Interview, April 1973.

113
Reaser, William, Arizona Department of Public Safety, Phoenix, Arizona, Interview,

May 1973.

Rowland, Max, Procurement Officer, City of Philadelphia, Interview, 1973. Rutherford, Robert, Manager, Fleet Information System, California State Highway Patrol,

2812 Meadowview Road, Sacramento, California 95832, Interview, June 1973.

Spector, Andrew, Leasing Manager, Chevrolet Dealer Leasing, Arlington, Virginia,

Interview, March 1973.

Wynne, G. Raymond, Police Fleet Administrator, City of Los Angeles Police Department,

Los Angeles, California, Interview, May 1973.

II. RELATED REFERENCES, LISTED BY TOPIC

1. General—Fleet Management; Vehicles; Police Operations; Other

American Public Works Association, Motor Vehicle Fleet Management ; Guidelines for

Improvement of Equipment Acquisition , Maintenance , and Utilization Programs

,

Special Report No. 37, Chicago, Illinois, 1970.

Automobile Facts and Figures, Detroit, Michigan: Automobile Manufacturers

Association.

Automotive World, Annual Buyer's Guide Issue. Dartnell Company, Current Business Car Allowances , Controls , and Fleet Management

Practices , Chicago, 111.: Dartnell Business Publications, 1971.

"Fleet Management Policies and Procedures," Automotive Fleet, August 1967, pp. 22-

25. Larson, Richard C, Urban Police Patrol Analysis, Cambridge, Massachusetts: The

MIT Press, 1972.

Matthews, L. M., "Fleet Management: How to be a Pro at it," Industrial Distribution,

62 (February 1972).

Olson, Bruce, Police Expenditures , Consultant Paper for the President's Commission on Law Enforcement and Administration of Justice, Washington, D.C.:

Superintendent of Documents, 1967.

Saunders, Charles B. J., Upgrading the American Police, Washington, D.C.: The

Brookings Institution, 1970.

2. Vehicle Acquisition: Purchasing; Lease-Buy

American Management Association, Guides to More Effective Purchasing , Report No.

68. American Management Association, Taking Stock of Leasing : A Practical Appraisal.

Automobile Invoice Service Co., AIS New Car Cost Guide, Chicago, Illinois. Fleps, Carl J., "Evaluation of Automobile Leasing," Financial Executive, (September

1963).

Furr, Richard P., Dwyer, William O., and Fletcher, John L., "Patrol Car Selection: A

System-Analysis Approach," Police (June 1972), 55-67. "Growing Automotive Leasing Business," Business Management , (December 1970), 36-

9. Lee, Samuel, J., Fleet and Lease Manager's Handbook , Oceanside, California: Coda

Publications, 1968.

Lee, Samuel, J., Introduction to Leasing.

McCarthy, D. V., "Financing Equipment Acquisitions," Automation , 17 (September

1970), 60-63. Metz, Donald H., Leasing Standards and Procedures , Kaukauna, Wisconsin: Thomas

Publications, Ltd., 1968.

114
Thurlin, W. B., "Own or Lease? Underlying Financial Theory," Financial Executive,

(April 1964).

Vieth, M. C, Advantages and Disadvantages of Auto Fleet Leasing, Chicago, Illinois,

Foundation for Management Research, Inc., 1964.

3. Maintenance

Anderson, Henry R. and Schwartz, Reckard, "The Capital Facility Decision,"

Management Accounting , (February 1971), 28-32. Allocation of Spares and Repair Resources to a Multi- Component System, NTIS No.

AD 717 710, 71-06, ISE.

"A Shop Built for Maintenance Efficiency," Fleet Owner , (January 1969), 68-72. Booz-AIlen Applied Research, Inc., Maintainability and Repairability of Vehicles -in

Use , Volumes I and II, Bethesda, Md., 1971.

Cozzolino, J. M., "Maintenance Cost Controls," Management Accounting , 52 (February

1971), 40-43. Dowst, S., "Short Cuts to Maintenance Buying," Purchasing , 68 (April 1970), 67-72. "Emergency Services for Fleets," Fleet Owner , 65 (September 1970), 152-153.

"How to Know More About Your Fleet Maintenance Cost," National Petroleum News,

62 (August 1970), 84-85. "How to Save Money on Car Cost," Supervisory Management , 15 (.September 1970), 20-

22.

Trent, B. M., Ed., Motor Maintenance Data Book and Flat -Rate Manual; An

Encyclopedia for the Automotive Industry of Maintenance Procedure,

Mechanical Specifications , Parts Data, Shop Equipment , Flat Rates, and Other

Maintenance Information , Chicago, 111.: Irving-Cloud Publishing Co.

Investigating Repair and Maintenance with Respect to Cost Effectiveness and Quality

,

NTIS No. N71-14677, 71-08, 14A.

Is Preventive Maintenance Worthwhile ? NTIS No. PB-198 360, 71-11, 5A.

McCall, John J., "Maintenance Policies for Stochastically Failing Equipment: A

Survey," Management Science, 11 (March 1965), 493-524.

McFarland, R. P., "Cost Accounting and Budgeting for Maintenance," Foundry, 98

(November 1970), 92. Maintenance (Vehicle Test Methods), NTIS No. AD-732 337, 71-24, 13F.

"Saving Money on Maintenance," Supervisory Management , 14 (September 1969), 10-

12. Simultaneous Optimization of Preventive Maintenance and Replacement Policy for

Machines. A Modern Control Theory Approach, NTIS No. AD-723 099, 71-12,

15E.

Sullivan, Ray A., Ed., Service Department Management , National Automobile Dealers

Association, 1966. The Effect of Maintenance and Reliability on the Operational

Effectiveness of an Interceptor Squadron , NTIS No. AD 726 039, 71-16, IC.

4. Vehicle Replacement Policy

An Economic Replacement Policy, NTIS AD-723, 187, 71-13, 15 E. Brennen, J. F., "Optimum Life of Fleet Automobiles," The Journal of Industrial

Engineering, XV (November-December 1964), 297-299.

Economic Analysis in Equipment Replacement Problems , NTIS AD-722, 849, 71-12, 15

E. "Formula for Lift Truck Replacement," Fleet Owner, 67 (July 1972), 101-104.

Hackamack, Lawrence C, Making Equipment -Replacement Decisions, American

Management Association, 1969.

115
Hastings, N. A. J., "Repair Limit Replacement Method," Operations Research

Quarterly, 20 (September 1969) 337-349.

Jorgeson, Dale Weldeau, McCaU, J. J., and Radner, R., Optimal Replacement Policy,

Chicago, 111.: Rand McNally, 1967.

Kalman, P. J., "Stochastic Constrained Optimal Replacement Model: The Case of Ship

Replacement," Operations Research, 20 (March 1972), 327-334.

Kamien, M. I. and Schwartz, "Optimal Maintenance and Sale Age for a Machine

Subject to Failure," Management Science , 17 (April 1971), B495-B504.

Ku, Richard and Saunders, Patsy B., Sequencing the Purchase and Retirement of Fire

Engines, NBS Report 10498, December 1971.

Logan, G. H., "Quantitative Guides to Retain-or-Replace Decisions," Public Works, 102

(March 1971).

Local Government Operational Research Unit, Royal Institute of Public Administration,

Principles of Vehicle Replacement, Report No. T. 26, Reading, England, March

1971.

Research Analysis Corporation, Aging and Lifetime of M151 1 /4-Ton Truck, Technical

Memorandum RAC-T-479, McLean, Virginia: Research Analysis Corporation, July

1966.

Schrader, C. R., "Optimal Replacement Life of Large Scrapers," Proceedings of the

American Society of Civil Engineers , 97 (March 1971), 37-52. Shore, Barry, The Equipment Replacement Aspects of Capital Budgeting; A

Bibliography , Madison, Wisconsin: University of Wisconsin, Bureau of Business

Research and Service, Wisconsin Project Reports, Vol. Ill, No. 5, 1970.

5. Vehicle Disposition

"Good Maintenance Helps Resale Value," Fleet Owner , (January 1969), 74-75. "Getting Rid of Old Fleet Cars," Fleet Owner, (January 1971), 79-81. Lyndall, J., "Getting Rid of Old Fleet Cars," Fleet Owner, 66 (January 1971), 79-81. Smith, Jerry, "DaUas Upgrades Police Fleet," Fleet Owner, (April 1969), 86-87.

6. Cost Analysis

Ackoff, Russell L. and Sasieni, Maurice W., Fundamentals of Operations Research,

New York, N.Y.: John Wiley & Sons, Inc., 1968. (Particularly chap. 8,

"Replacement, Maintenance, and Reliability Problems.")

Butler, Don W., Life -Cycle Facility Planning: A Program Methodology , Washington,

D.C.: Office of the Chief of Engineers, Military Construction Directorate,

Engineering Division, January 1970.

Collins Radio Company, Life Cycle Costing Procurement Guide , June 1970.

Goldman, Thomas, Ed., Cost - Effectiveness Analysis, New Approaches in DecisionMaking, 1967 (Particularly chaps. 1, 3, 4 and 5). Grant, Eugene L. and Ireson, W. Grant, Principles of Engineering Economy, New

York, N.Y.: Ronald Press Co., 5th Ed.

Headquarters, Air Force Logistics C6mmand, Life Cycle Costing : A Better Way to Buy,

WPAFB, Ohio, January 1970.

"Life Cycle Costing: Decision Making Tool for Capital Equipment Acquisitions,"

Journal of Purchasing , 5 (August 1969), 16-31. Keely, B. J. and Griffith, J. W., Resource Optimization Using Cost -Benefit Analysis,

K-G Associates Training Manual, Dallas, Texas: K-G Associates (undated).

Logistics Management Institute, Life Cycle Costing in System Acquisition , Task 69-10,

Washington, D.C., November 1969.

Merrett, A. J. and Sykes, AUen, The Finance and Analysis of Capital Projects,

London: Longman, 1971.

116
McCullough, James Dougherty, Cost - Effectiveness : Estimating Systems Costs,

Bethesda, Md.: Rand Corp. 1965.

The Ralph M. Parsons Company, A Life Cycle Concept for Buildings and Facilities,

Washington, D.C., April 1970. Reisman, Arnold, Managerial and Engineering Economics , Boston, Mass.: AUyn and

Bacon, Inc., 1971.

117

« U. S. GOVERNMENT PRINTING OFFICE : 1978 O - 244-436

ANNOUNCEMENT OF NEW PUBLICATIONS ON

NATIONAL CRIME AND RELATED SUBJECTS

Superintendent of Documents,

Government Printing Office,

Washington, D.C. 20402 ^

Dear Sir:

Please add my name to the announcement Ust of new pubHcations to be issued on the above subjects (including this NBS series):

Name

Company

Address

City State Zip Code

(Notification Key N-538)


U.S. DEPARTMENT OF COMMERCE

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OFFICIAL BUSINESS

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