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An automobile emissions testing center has six inspectors and tests 50 vehicles per hour. Each inspector can inspect 12 vehicles per hour. How many inspectors would the center require to have a target utilization of 90 percent? Round your answer up to the next whole number.
a. Two
b. Three
c. Seven
d. Five

Respuesta :

Answer:

Option (d) is correct.

Explanation:

Target utilization = 90% = 0.9

Total number of vehicles tested in an hour or arrival rate = 50 vehicles per hour

Number of vehicles that an inspector can inspect in an hour or service rate = 12

Let n be the number of inspectors required.

Utilization = arrival rate ÷ (number of servers × service rate)

         0.9   = 50 ÷ (n × 12)

Hence,

n = 50 ÷ (0.9 × 12)

  = 4.63

Hence we can round off number of inspectors required as 5.

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