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 5 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 Formulate a linear programming model cover the demand requirements with the minimum number of operators. Let X, number I operators working from midnight to 8 A.M., X = number of operators working from 4 A.M. to noon, X = number of operators working from 8 A.M. to 4 P.M., X = number of operators working from noon to 8 P.M., X = number of operators working from 4 P.M. to midnight, and X number f operators working from 8 P.M. to 4 A.M. Objective function: Minimize Z = X + XX + X + X5+X6 Constraints: Demand for time period from midnight to 4 A.M. (C) Demand for time period from 4 A.M. to 8 A.M. (C) Demand for time period from 8 A.M. to noon (C3) Demand for time period from noon to 4 P.M. (C) Demand for time period from 4 P.M. to 8 P.M. (C5) Demand for time period from 8 P.M. to midnight (C) Nonnegativity: T X20, X 0, X 0, X 0, X 0, Xg 20 7 90 70 40 15