Question: Question 1 (50%). Consider the following problem: . = 21 Maximize Z= 2x1 + 5x2 + 3x3 subject to 2x2 + X3 > 20 2x1

Question 1 (50%). Consider the following problem:

Question 1 (50%). Consider the following problem: . = 21 Maximize Z= 2x1 + 5x2 + 3x3 subject to 2x2 + X3 > 20 2x1 + 4x2 + 23 50 X1 > 0, x2 > 0, X3 > 0. (1) (2) - (a) Let M +0. Construct the big-M problem in algebraic/tabular form by introducing slack, excess and/or artificial variables. Define all variables clearly. (b) Use the tabular form of the big-M method to find an optimal solution for (x1, X2, 23) and the associated optimal value for Z. In each simplex tableau, identify the current solution for (21, 22, 23), its feasibility for the original problem, and the associated value for Z if it is feasible for the original

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