Question: 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

Formulate a linear programming model to cover the

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 X8= number of operators working from 8 P.M. to 4 A.M. Objective function: Minimize Z=x1+2+3+x4+5+x8 Constraints: Demand for time period from midnight to 4 A.M. (C C1) 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. (C4) Demand for time period from 4 P.M. to 8 P.M. (C5) Demand for time period from 8 P.M. to midnight (C6) Nonnegativity: X10,X20,X30,,x40,X50,X60

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