There is a 2 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 $10 per hour and can inspect units in the process at the rate of 48 per hour. If no inspector is used and defects are allowed to pass this point, there is a cost of $11 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. Required:
Should the inspector be hired?