Question: 3. Consider the following LP problem. Maximize z = -2x1 - x2 + x3 subject to *+ x2 + xy S3 X2 + x3 2

3. Consider the following LP problem. Maximize z

3. Consider the following LP problem. Maximize z = -2x1 - x2 + x3 subject to *+ x2 + xy S3 X2 + x3 2 2 X + x3 = 1 X1, X2, X, 20 (1) (ii) Find the dual of this LP problem. [5] After adding a slack variables, subtracting an excess variable ez, and adding artificial variables a, and az, Row 0 of the LP problem's optimal tableau is found to be z + 4x, + e+ (M - 1)a, + (M + 2)a; = 0 Find the optimal solution to the dual of this LP problem. [3]

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