A crew at the department of transportation garage make minor

A crew at the department of transportation garage make minor repairs to snow plows during the winter. The snowplows break down at an average rate of 4 vehicles per day and break down at an average of 7 vehicles per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day .

What is the utilization rate for the mechanic?

On average, how long does a snowplow wait before the mechanic can begin his repair?

Approximately how many vehicles are in the garage, waiting for repairs or being repaired?

I want every single details.

Solution

a)

Utilization rate for mechanic = 4/7 = 0.571 or 57.1% Answer

b)

Time for how long does a snowplow wait before the mechanic can begin his repair = 1.25 hours Answer

c)

Number of vehicles are in the garage, waiting for repairs or being repaired

= 1.33 Answers