Question: Please show all work and all steps! Please and thanks! 5.3. Consider the following multiple-objective linear program: Minimize Z 2x + x2 Maximize 22 3.x1

Please show all work and all steps! Please and thanks!

5.3. Consider the following multiple-objective linear program: Minimize Z 2x + x2 Maximize 22 3.x1 + 7x2 Subject to: 4x1 12x2 5 -6 - 4x1 + 6x2 = 12 4x1 + 2x2 = 8 x + * 4.x2 = 16 $1,42 = 0. (a) Plot the feasible region in decision space for this problem. (b) Plot the corresponding feasible region in objective space for this problem. For each extreme point indicate if it is a noninferior or a dominated solution

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