Question

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 =

Answer 1

Answer:

System utilization = 0.7 or 70%

Step-by-step explanation:

Given arrival rate of customer = 15 customer/Hour

Servie rate = $\dfrac{60}{2.8} customer/Hour$

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

System utilization = $\dfrac{\text{ Arrival rate of customer }}{\text{ Servie rate}}$

System utilization = $\dfrac{15}{ \dfrac{60}{2.8}}$

System utilization = $\dfrac{15}{ \dfrac{60}{2.8}}$

System utilization = 0.7 or 70%