There is a 3 percent defect rate at a specific point in a production process. If an inspector is placed at this point, all the defects can be detected and eliminated. The inspector would cost $8 per hour and could inspect units in the process at the current production rate of 30 per hour. If no inspector is hired and defects are allowed to pass this point, there is a cost of $10 per defective unit to correct the defects 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. a. If an inspector is hired, what will be the inspection cost per unit? (Round your answer to 3 decimal places.) Cost per unit $ b. If an inspector is not hired, what will be the defective cost per unit? (Round your answer to 3 decimal places.) Cost per unit $ c. Should an inspector be hired based on costs alone? Yes No

1a. $2.67 cost per unit

1b. $0.3 cost per unit

1c. Yes

Explanation:

1a. Calculation for what will be the inspection cost per unit If an inspector is hired

The following details were given in the question.

Defective average =3/100= 0.03

inspection rate = 30 per hour

Cost of inspector = 8 per hour

Correction cost = $10 each

Using this formula

Hired inspector =Cost per hour/Current production rate per hour

Let plug in the formula

Hired inspector=8 per hour/30 rate per hour

Hired inspector =0.267×100

Hired inspector=$2.67 cost per unit

1b. Calculation for what will be the defective cost per unit If an inspector is not hired

Using this Formula

No inspector=Defect rate %/Cost per defective

Let plug in the formula

No inspector= 3/100×$10

No inspector= $0.3 cost per unit

1c. Based on the above calculation the inspector should be hired.

the answer is "b.the increased supply will create a surplus. "

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