In the post ofce example, 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 ofce may meet its 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 ve consecutive days, and a part-time employee works 4 hours a day for ve consecutive days. A full-time employee costs the post ofce $15 per hour, whereas a part-time employee (with reduced fringe benets) costs the post ofce only $10 per hour. Union requirements limit part-time labor to 25% of weekly labor requirements. Formulate an LP to minimize the post ofce’s weekly labor costs.

Requirement for post office:

Day Number of full time employee required.
1=Monday 17
2=Tuesday 13
3=Wednesday 15
4=Thursday 19
5=Friday 14
6=Saturday 16
7= Sunday 11