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Steph runs a vehicle body repair shop with one mechanic in Cleveland. Repair time for vehicles is exponentially distributed, with a mean of 2.8 minutes per vehicle. Customers arrive at an average rate of 15 per hour following a Poisson distribution. NOTE: calculate the measures per hour. Calculate system utilization. (Round your answer to the nearest whole percent without the percent sign.) System Utilization =

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Answer:

System utilization = 0.7 or 70%

Step-by-step explanation:

Given arrival rate of customer = 15 customer/Hour

Servie rate = [tex] \dfrac{60}{2.8} customer/Hour [/tex]

Now, use the below formula to find the system utilization.

System utilization = [tex] \dfrac{\text{ Arrival rate of customer }}{\text{ Servie rate}}[/tex]

System utilization = [tex] \dfrac{15}{ \dfrac{60}{2.8}}[/tex]

System utilization = [tex] \dfrac{15}{ \dfrac{60}{2.8}}[/tex]

System utilization = 0.7 or 70%

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