A trucking firm has five trucks that each requires service at an average rate of once every 50 hours, according to an exponential distribution. The firm has a mechanic who needs five hours to complete the average job with exponential service times.
-Use the information in Scenario C.5.What is the average utilization of the mechanic?
A) Less than or equal to 50 percent
B) Greater than 50 percent but less than or equal to 60 percent
C) Greater than 60 percent but less than or equal to 70 percent
D) Greater than 70 percent

Question

Quizplus · Accepted Answer

The average utilization of the mechanic is less than or equal to 50 percent because the average service time for the mechanic is five hours, and the average time between service for the trucks is 50 hours. This means that the mechanic will be idle for an average of 45 hours out of every 50 hours.

A Trucking Firm Has Five Trucks That Each Requires Service