Question: Please answer clearly and thoroughly showing all steps and explain your work 4. (10 Points) Consider the following linear program: max Z 21 + 22

Please answer clearly and thoroughly showing all steps and explain your work

Please answer clearly and thoroughly showing all

4. (10 Points) Consider the following linear program: max Z 21 + 22 + 23 + 24 s.t. 21 + 3x2 + 4x3 24 = 15 4x1 + 22 23 + 34 > 6 -21 + 22 2x3 + X4 0 (a) Use artificial variables and the first phase of the Two Phase Simplex Method to find an initial basic feasible solution to this problem. (b) Use the second phase of the Two Phase Simplex Method to verify that this problem has an unbounded objective function value. For both questions, show all your work, including, but not limited to, all the tableaux you generate as you work through both phases

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