Question

A crew of mechanics at the Highway Department garage repair vehicles that break down at an average of u03bb = 7.5 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of u03bc = 10 vehicles per day with a repair time distribution that approximates an exponential distribution.

a. What is the utilization rate for this service system?

b. What is the average time before the facility can return a breakdown to service?

c. How much of that time is spent waiting for service?

d. How many vehicles are likely to be in the system at any one time?

Answer

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