A small Mexican food restaurant is open from 11:00 A.M. to 10:00 P.M. on weekdays. There are only two full-time employees, the chef and the owner. The waiters and wait- resses are part-time, scheduled for 4-hour shifts. Due to variance in the arrival of cus- tomers throughout the day, the total number of full-time and part-time employees required and the wage-rate for part-time employees varies with the time of the day as follows:
|
Hour
|
Number of Employees Required
|
Wage-Rate for Part-Time Employees ($/hour)
|
|
11:00 A.M.-1:00 P.M.
|
6
|
8
|
|
1:00 P.M.-4:00 P.M.
|
4
|
9
|
|
4:00 P.M.-6:00 P.M.
|
5
|
9
|
|
6:00 P.M.-9:00 P.M.
|
10
|
10
|
|
9:00 P.M.-10:00 P.M.
|
8
|
8
|
The owner of the restaurant arrives at 11:00 A.M., works two hours, takes one hour off, and returns for three hours, takes another hour off and then works till 10:00 P.M. when the restaurant is closed. The chef also arrives at 12:00 A.M., works four hours, takes two hours off, and returns for another four hours. Develop a minimum-cost Monday schedule for the part-time employees. Set up the LP model in general form.