An automobile emission testing center has six (6) inspectors and tests 50 vehicles per hour. Each inspector can inspect twelve (12) vehicles per hour. How many inspectors would the center require to have a target utilization of 90 percent?

5

Explanation:

Target utilization = 90% = 0.9

No of vehicles tested = 50 vehicles per hour

No of vehicles that can be inspect in service rate = 12

Let n represent the no of inspectors required.

Utilization = Arrival rate / (Number of servers*service rate)

0.9 = 50/(n*12)

n = 50/(0.9*12)

n = 4.63

n = 5 (approx)

Thus, the number of inspectors required is 5.

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