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 8 Time Period Midnight to 4A.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 95 80 55 15 Formulate a linear programming model to cover the demand requirements with the minimum number of operators. Let X, = 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 X = number of operators working from 8 P.M. to 4 A.M. Objective function: Minimize Z = x,+ x2+x2 + x + x + xo Constraints: 7 Demand for time period from midnight to 4 A.M. (C) Demand for time period from 4 A.M. to 8 A.M. (C2) Demand for time period from 8 A.M. to noon (C3) Demand for time period from noon to 4 P.M. (CA) 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: X, 20, X2 > 0,X, 2 0.X2 > 0, X, > 0,X20