There is a $4$ percent error rate at a specific point in a production process. If an inspector is placed at this point, all the errors can be detected and eliminated. However, the inspector is paid $$8$ per hour and can inspect units in the process at the rate of $53$ per hour.

If no inspector is used and defects are allowed to pass this point, there is a cost of $$9$ per unit to correct the defect later on$.$

Assume that the line will operate at the same rate $($i$.$e$.,$ the current production rate$)$ regardless of whether the inspector is hired or not.

If an inspector is hired, what will be the inspection cost per unit?

Note: Round your answer to $3$ decimal places.

If an inspector is not hired, what will be the defective cost per unit?

Note: Round your answer to $3$ decimal places.

Should an inspector be hired based on costs alone?

multiple choice

Yes

No