An automobile emissions testing center has six (6) inspectors and tests 50 vehicles per hour. Each inspector can inspect twelve (12) vehicles per hour. If the center wants a utilization of 90%, how many inspectors are required?
A) Two
B) Three
C) Four
D) Five

Question

Quizplus · Accepted Answer

The center tests 50 vehicles per hour, and each inspector can inspect 12 vehicles per hour. To find the number of inspectors needed for a 90% utilization, first calculate the total capacity needed: 50 vehicles/hour. Each inspector's full capacity is 12 vehicles/hour, so for 90% utilization, divide the total vehicles by the product of one inspector's capacity and the desired utilization rate (0.9): 50 / (12 * 0.9) = 4.63. Since you can't have a fraction of an inspector, round up to the nearest whole number, which is 5 inspectors.

An Automobile Emissions Testing Center Has Six (6) Inspectors and Tests