## Appendix A \begin{tabular}{l l} Present Worth \((\mathrm{PW})=\) Present Worth of Benefit \(-\) Present Worth of Cost \(=\) Annual benefit of the automated measurement method \((P/A,\;\mathrm{i},\;\mathrm{n})-\) \\ (system construction cost \(+\) annual hardware repair cost \((P/A,\;\mathrm{i},\;\mathrm{n})+\) \\ present worth of the component replacement cost) \\ \(=\$8404.08(P/A,\;1.30\%,10)-\) \\ \(\{\$11,985.40+\$599.27(P/A,1.30\%,10)+\$291.97(P/A,1.30\%,10)\) \\ \(+\$364.96(P/F,1.30\%,5)+\$1751.82(P/F,1.30\%,6)\}\) \\ \(=\$78,332.60-(\$11,985.40+\$5585.60+\$2721.36+\$342.14+\$1621.19)=\$556,076.91\) \\ \(=\$56,076.91\) \\ \end{tabular} \begin{tabular}{l l} Present Worth of Benefit \(=\) Annual benefit of the automated measurement method \((P/A,\;\mathrm{i},\;\mathrm{n})+\) \\ \(=\) (system construction cost\(+\) annual hardware repair cost \((P/A,\;1.30\%,10)-\) \\ \(=\$8404.08(P/A,\;1.30\%,10)+\$291.97(P/A,1.30\%,10)+\$364.96(P/F,1.30\%,5)+\$1 751.82(P/F,1.30\%,6)\}\) \\ \(=\$78,332.60-(\$11,985.40+\$5585.60+\$2721.36+\$342.14+\$1621.19)=\$556,076.91\) \\ \end{tabular} \begin{tabular}{l l} \(=\) (system construction cost\(+\) annual hardware repair cost \((P/A,\;1.3)\) in) \\ \(=\) (system construction cost\(+\) annual hardware repair cost \((P/A,\;1.30\%,10)-\) \\ \(=\$8404.08(P/A,\;1.30\%,10)+\$291.97(P/A,1.30\%,10)+\$364.96(P/F,1.30\%,5)+\$1 751.82(P/F,1.30\%,6)\}\) \\ \(=\$78,332.60-(\$11,985.40+\$5585.60+\$2721.36+\$342.14+\$1621.19)=\$556,076.91\) \\ \end{tabular} \begin{tabular}{l l} \(=\) (system construction cost\(+\) annual hardware repair cost \((P/A,\;1.3)\) in) \\ \(=\$8404.08(P/A,\;1.30\%,10)-\$8404.08(P/A,\;1.30\%,10)\) \\ \(=\$78,332.60-(\$11,985.40+\$599.27(P/A,1.30\%,10)+\$291.97(P/A,1.30\%,10)+ \$364.96(P/F,1.30\%,5)+\$1751.82(P/F,1.30\%,6)\}\) \\ \(=\$78,332.60-(\$11,985.40+\$5585.60+\$2721.36+\$342.14+\$1621.19)=\$556,076.91\) \\ \end{tabular} \begin{tabular}{l l} \(=\) (system construction cost\(+\) annual hardware repair cost \((P/A,\;1.3)\) in) \\ \(=\$56,076.91\) \\ \(=\$56,076.91\) \\ \(=\$56,076.91\) \\ \end{tabular}   
\begin{tabular}{l l} \(=\) (system construction cost\(+\) annual hardware repair cost \((P/A,\;1. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**System Repair** & **Current Worth** & **Benefit/Cost Ratio** &
\begin{tabular}{c} **Annual Work Cost** \\ **Reduction Rate** \\ \end{tabular} & **Rate of Return** & **Breakeven Point** \\ \hline
5\% (\$599.27) of & \multirow{2}{*}{\(\$56,075.91\)} & \multirow{2}{*}{3.52} & \multirow{2}{*}{71.59\%} & \multirow{2}{*}{61.48\%} & \multirow{2}{*}{2.71 years} \\ annual repair cost & & & & & \\
10\% (\$1198.54) of & \multirow{2}{*}{\(\$550,490.31\)} & \multirow{2}{*}{2.81} & \multirow{2}{*}{64.46\%} & \multirow{2}{*}{56.27\%} & \multirow{2}{*}{3.41 years} \\ annual repair cost & & & & & \\
15\% (\$1797.81) of & \multirow{2}{*}{\(\$44,904.72\)} & \multirow{2}{*}{2.34} & \multirow{2}{*}{57.33\%} & \multirow{2}{*}{51.00\%} & \multirow{2}{*}{4.11 years} \\ annual repair cost & & & & & \\
20\% (\$2397.08) of & \multirow{2}{*}{\(\$39,319.12\)} & \multirow{2}{*}{2.01} & \multirow{2}{*}{50.20\%} & \multirow{2}{*}{45.66\%} & \multirow{2}{*}{4.82 years} \\ annual repair cost & & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Sensitivity analysis results according to the system repair cost. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Measurement** & **Current Worth** & **Benefit/Cost Ratio** &
\begin{tabular}{c} **Annual Work Cost** \\ **Reduction Rate** \\ \end{tabular} & **Rate of Return** & **Breakeven Point** \\ \hline
2 months & \(\$19,603.39\) & 1.88 & 46.83\% & 25.81\% & 5.16 years \\
4 months & \(\$37,839.65\) & 2.70 & 62.97\% & 44.23\% & 3.56 years \\
6 months & \(\$56,075.91\) & 3.52 & 71.59\% & 61.48\% & 2.71 years \\ (reference) & \(\$74,312.17\) & 4.34 & 76.95\% & 78.27\% & 2.19 years \\
10 months & \(\$92,548.43\) & 5.16 & 80.61\% & 94.85\% & 1.84 years \\
12 months & \(\$110,784.69\) & 5.98 & 83.27\% & 111.33\% & 1.59 years \\ \hline \hline \end{tabular}
\end{table}