JPMorgan Chase has a scheduling problem. Operators work eight-hour shifts and can begin work at midnight, 4A.M. 8A.M., noon, 4 P.M, or 8 P.M. Operators are needed to satisfy the following demand pattern. Formulate a linear programming model to cover the demand requirements with the minimum number of operators.
Time period Operators Needed
Midnight to 4 A.M ......... 4
4 A.M to 8 A.M ......... 6
8 A.M to noon .......... 90
Noon to 4 P.M ........ 85
4 P.M to 8 P.M ........ 55
8 P.M to 12 midnight ...... 20