Refer to the problem Static workforce scheduling in the handout $($Wayne Winston$$s

book$),$ suppose that each full$-$time employee works $8$ hours per day. Thus, Monday$$s

requirement of $17$ workers may be viewed as a requirement of $8(17)=136$ hours. The

post o$.$ice may meet its daily labour requirements by using both full$-$time and parttime employees. During each week, a full$-$time employee works $8$ hours a day for five

consecutive days, and a part$-$time employee works $4$ hours a day for five consecutive

days. A full$-$time employee costs the post o$.$ice $$15$ per hour, whereas a part$-$time

employee $($with reduced fringe benefits$)$ costs the post o$.$ice only $$10$ per hour. Union

requirements limit part$-$time labour to $25\%$ of weekly labour requirements. Formulate

an LP to minimize the post o$.$ice$$s weekly labour costs.