Whatmostmotivatesabusinesstobeconcernedwithefficientuseoftheirresources? Resourcesarelimitedandvaluable. Efficientresourceuseincreasesbusinesscosts. Efficientresourcesusemeansmorefreetime. Inefficientresourceusemeanshiringmoreworkers. ANSWER: a Simulation Regression Mathematicalprogramming Discriminantanalysis ANSWER: c Mathematicalprogrammingisreferredtoas optimization. satisficing. approximation. simulation. ANSWER: a Whatarethethreecommonelementsofanoptimizationproblem? objectives,resources,goals. decisions,constraints,anobjective. decisionvariables,profitlevels,costs. decisions,resourcerequirements,aprofitfunction. ANSWER: b Amathematicalprogrammingapplicationemployedbyashippingcompanyismostlikely aproductmixproblem. amanufacturingproblem. aroutingandlogisticsproblem. afinancialplanningproblem. ANSWER: c Whatisthegoalinoptimization? Findthedecisionvariablevaluesthatresultinthebestobjectivefunctionandsatisfyallconstraints.
maximizetheamountofmoneytheywithdraw. minimizetheamountoftaxestheymustpay. retirewithaminimumamountofmoney. leavealltheirmoneytothegovernment. ANSWER: b ThenumberofunitstoshipfromChicagotoMemphisisanexampleofa(n) decision. constraint. objective. parameter. ANSWER: a Amanagerhasonly200tonsofplasticforhiscompany.Thisisanexampleofa(n) decision. constraint. objective. parameter. ANSWER: b Thedesiretomaximizeprofitsisanexampleofa(n) decision. constraint. objective. parameter. ANSWER: c Thesymbols X1,Z1,Dogareallexamplesof decisionvariables. constraints. objectives. parameters. ANSWER: a b.f(X1,X2,...,Xn)≥b. c.f(X1,X2,...,Xn)=b. d.f(X1,X2,...,Xn)≠b. ANSWER: b
a.f(X1,X2,X3,X4)≤ b1 b.f(X1,X2,X3,X4)≥b1 c.f(X1,X2,X3,X4)=b1 d.f(X1,X2,X3,X4)≠b1 ANSWER: a a.f(X1,X2,X3,X4)≤ b1 b.f(X1,X2,X3,X4)≥b1 c.f(X1,X2,X3,X4)=b1 d.f(X1,X2,X3,X4)≠b1 ANSWER: b b.f(X1,X2,...,Xn)≥b c.f(X1,X2,...,Xn)=b d.f(X1,X2,...,Xn) ANSWER: d Linearprogrammingproblemshave linearobjectivefunctions,non-linearconstraints. non-linearobjectivefunctions,non-linearconstraints. non-linearobjectivefunctions,linearconstraints. linearobjectivefunctions,linearconstraints. ANSWER: d Thefirststepinformulatingalinearprogrammingproblemis Identifyanyupperorlowerboundsonthedecisionvariables. Statetheconstraintsaslinearcombinationsofthedecisionvariables. Understandtheproblem. Identifythedecisionvariables. Statetheobjectivefunctionasalinearcombinationofthedecisionvariables. ANSWER: c Thesecondstepinformulatingalinearprogrammingproblemis Identifyanyupperorlowerboundsonthedecisionvariables. Statetheconstraintsaslinearcombinationsofthedecisionvariables. Understandtheproblem. Identifythedecisionvariables.
ANSWER: b MAX: 150X1+250X2 Subjectto: 2X1+5X2≤200 Howmuchprofitisearnedifthecompanyproduces10unitsofproduct1and5unitsofproduct2?a.750 b.2500 c.2750 d.3250 ANSWER: c a.4X1+3X2≥150 b.4X1+3X2≤150 c.4X1+3X2=150 d.4X1≤150 ANSWER: b b.20A+30B≤100 c.20 A+ 30 B= 100 d.20A=100 ANSWER: a Theconstraintforresource1is5X1+4X2≤200.IfX1= 20,whatitthemaximumvaluefor X2? 20 25 40 50 ANSWER: b
A B C D E ANSWER: d WhendoalternateoptimalsolutionsoccurinLPmodels? Whenabindingconstraintisparalleltoalevelcurve. Whenanon-bindingconstraintisperpendiculartoalevelcurve. Whenaconstraintisparalleltoanotherconstraint. Alternateoptimalsolutionsindicateaninfeasiblecondition. ANSWER: a RATIONALE:Chaptersayslevelcurvesitsonfeasibleregionedge,whichimpliesparallel Aredundantconstraintisonewhich playsnoroleindeterminingthefeasibleregionoftheproblem. isparalleltothelevelcurve. isaddedaftertheproblemisalreadyformulated. canonlyincreasetheobjectivefunctionvalue. ANSWER: a WhentheobjectivefunctioncanincreasewithoutevercontactingaconstrainttheLPmodelissaidtobe infeasible. openended. unbounded. ANSWER: d IfthereisnowaytosimultaneouslysatisfyalltheconstraintsinanLPmodeltheproblemissaidtobe infeasible. openended. multi-optimal. unbounded. ANSWER: a WhichofthefollowingspecialconditionsinanLPmodelrepresentpotentialerrorsinthemathematicalformulation?
c.f(X1,X2,X3,X4)=b1 d.f(X1,X2,X3,X4)≠b1 ANSWER: c b.f(X1,X2,...,Xn)≥b. c.f(X1,X2,...,Xn)=b. d.f(X1,X2,...,Xn)≠b. ANSWER: d MAX: 150X1+250X2 Subjectto: 2X1+5X2≤200 Howmanyunitsofresourceone(thefirstconstraint)areusedifthecompanyproduces10unitsofproduct1and5unitsofproduct2? 45 15 55 50 ANSWER: a MAX: Subjectto: 2X1+5X2≤200 a.110