A large distribution center uses some part$-$time employees in its workforce. Each part$-$time employee works a maximum of $80$ hours per month. The workforce requirements $($expressed as the number of part$-$time employees working the maximum regular time of $80$ hours per month$)$ are given in the following table for the next six periods. Table attached

The relevant costs are:

Wages $=$ $$1,000/$month$/$worker

Hiring cost $=$ $$250/$worker

Layoff cost $=$ $$350/$worker

Overtime cost $=195\%$ of regular$-$time rate

The current workforce level is $75,$ and overtime cannot exceed $50\%$ of regular$-$time capacity.

Using this information, answer the following questions.

Use a level strategy with overtime and undertime. Minimize undertime by maximizing overtime during the peak period. If the firm does not pay undertime, what is the total cost of the staffing plan including the cost of regular wages, hiring, and layoffs?

Question $39$ options:

$$392,750$

$$388,550$

$$418,000$

$$325,250$

$$168,250$

$$425,750$

$$193,000$

$$192,550$