P10

Ans fast

A post office has different daily labor requirements on different days of the week. The daily labor requirement on each day is given in the following table. Day Daily labor requirement (in hours] 1 = Monday 168 2 = Tuesday 125 3 = Wednesday 144 4 = Thursday 184 5 - Friday 135 6 - Saturday 154 7 = Sunday 106 The post office may meet the daily labor requirements by using both full-time and part-time 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 office $15 per hour, whereas a part-time employee cost the post office only $10 per hour. Union requirements limit part-time labor to not more than 25% of weekly labor requirements. Formulate an LP to determine a weekly schedule of its full-time and part-time employees that minimizes the post office's weekly labor cost. Using What'sBest to solve the LP, we know that in order to minimize weekly labor cost, the post office should hire full-time employees and part-time employees. Correspondingly, the minimal weekly labor cost is $