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?

The center require to have a 4.6 inspectors, but this on you decide if you have 4 or 5 inspectors, it may not have 4.6 people working.

So then if you decide to have 5 people their utilization percentage is 83.3%, but if you decide to have 4 people their utilization rate will be 104.17% at the risk of defaulting on demand.

Step-by-step explanation:

1. Define your variables

Demand rate= 50 vehicles per hour

Service rate = 12 vehicles per hour per inspector

Inspectors= a

2. Use the formule of the center´s utilization

U=

0,9=

0,9a=

a=

a= 4.6

3. According to the center´s utilization formula the center require 4,6 inspectors, but approaches 5 because people cannot be divided. With this numbers of inspectors the utilization is:

U=

U=

U= 83,3%

4. Other option that you will be used is that the center require 4 inspectors. With this numbers of inspectors the utilization is:

U=

U=

U= 104,17%

answer: no

step-by-step explanation: