Question: Consider the following PL problem: Min Z = 3X1 - 2X2 subject to X1 + 2X2 = 12 2X1 + X2 3> = 8 X1,

Consider the following PL problem: Min Z = 3X1 - 2X2 subject to X1 + 2X2 <= 12 2X1 + 3X2> = 12 2X1 + X2 3> = 8 X1, X2> = 0 a) Draw and clearly mark the feasible region. Specify the values of the decision variables in each of the vertices of the feasible region. b) Obtain the optimal solution to the problem. That is, obtain the values of the decision variables corresponding to the optimal solution as well as the optimal value of the objective function. If there is more than one solution, specify all.

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