Question

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

Answer 1

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.