Problem 18-13 (Algo)

Trucks arrive at the loading dock of a wholesale grocer at the rate of 1.2 per hour. A single crew consisting of two workers can load a truck in about 30 minutes. Crew members receive $10 per hour in wages and fringe benefits, and trucks and drivers reflect an hourly cost of $68. The manager is thinking of adding another member to the crew. The service rate would then be 2.4 trucks per hour. Assume rates are Poisson. Use Table 1 and Table 2.

a. Would the third crew member be economical? (Round your intermediate and final answer to 2 decimal places.)

b. Would a fourth member be justifiable if the resulting service capacity were 3 trucks per hour? (Round your intermediate and final answer to 2 decimal places.)

\begin{tabular}{|l|l|l|} \hline \multicolumn{4}{|c|}{ Answer is not complete. } \\ \hline Yes & because, the total cost is & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|} \hline \multicolumn{4}{|c|}{ Answer is not complete. } \\ \hline Yes & because, the total cost is & \\ \hline \end{tabular}