Question: JPMorgan Chase has a scheduling problem. Operators work eight-hour shifts and can begin work at midnight, 4 A.M., 8 A.M., noon, 4 P.M., or 8

JPMorgan Chase has a scheduling problem.

JPMorgan Chase has a scheduling problem. Operators work eight-hour shifts and can begin work at midnight, 4 A.M., 8 A.M., noon, 4 P.M., or 8 P.M. Operators are needed to satisfy the following demand pattern. Operators Needed Time Period Midnight to 4 A.M. 4 A.M. to 8 A.M. 8 A.M. to noon Noon to 4 P.M. 4 P.M. to 8 P.M. 8 P.M. to midnight 188- 95 80 55 20 Formulate a linear programming model to cover the demand requirements with the minimum number of operators. = Let X1 = number of operators working from midnight to 8 A.M., X2 = = number of operators working from 4 A.M. to noon, X3 = number of operators working from 8 A.M. to 4 P.M., X4 = number of operators working from noon to 8 P.M., X5 = number of operators working from 4 P.M. to midnight, and X6 : = number of operators working from 8 P.M. to 4 A.M. Objective function: Minimize z = x + x2 + x3 + x +X5+46 + +

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