Question: 1. Consider the following Linear Programming problem: MinZ=3X+Y Subject to 3X284Y5X+4Y202Y16X7X0,Y0(C1)(C2)(C3)(C4) i) Draw all constraints and indicate clearly the feasible region. ii) Draw the level

1. Consider the following Linear Programming problem: MinZ=3X+Y Subject to 3X284Y5X+4Y202Y16X7X0,Y0(C1)(C2)(C3)(C4)

1. Consider the following Linear Programming problem: MinZ=3X+Y Subject to 3X284Y5X+4Y202Y16X7X0,Y0(C1)(C2)(C3)(C4) i) Draw all constraints and indicate clearly the feasible region. ii) Draw the level curve for objective Z=12. iii) Find graphically the optimal solution(s). Infer analytically the coordinates of this optimal solution. iv) Report the optimal value of the objective function. v) What would be the optimal solution if objective function were changed to: a. MaxX+Y b. MinXY c. Min10X+8Y Note: report all optimal solutions in every case if there are many. 1. Consider the following Linear Programming problem: MinZ=3X+Y Subject to 3X284Y5X+4Y202Y16X7X0,Y0(C1)(C2)(C3)(C4) i) Draw all constraints and indicate clearly the feasible region. ii) Draw the level curve for objective Z=12. iii) Find graphically the optimal solution(s). Infer analytically the coordinates of this optimal solution. iv) Report the optimal value of the objective function. v) What would be the optimal solution if objective function were changed to: a. MaxX+Y b. MinXY c. Min10X+8Y Note: report all optimal solutions in every case if there are many

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