Question: Consider the following problem: Minimize z 2.11 + 5.02 + 3.23 subject to 5x1 + 2.12 + 7:23 420 (1) 3.x1 + 2.02 + 5x3

Consider the following problem: Minimize z 2.11 +

Consider the following problem: Minimize z 2.11 + 5.02 + 3.23 subject to 5x1 + 2.12 + 7:23 420 (1) 3.x1 + 2.02 + 5x3 > 280 (2 11 > 0, 12 > 0, 13 > 0. Let M +0. Let = -2. Let aj be the artificial variable for the constraint 1. Let e2 and az be the excess and artificial variables for the constraint 2. A portion of an optimal big-M simplex tableau is given as follows: Basic Coefficient of: Right-Hand Variable Z 11 12 13 01 e2 02 Side 1 M-1/4 1/4 M - 1/4 0 5/4 7/4 -7/4 0 -3/4 -5/4 5/4 (a) Construct the initial big-M simplex tableau in canonical form. (b) Using the portion of the big-M simplex tableau provided above and the results in (a), find all basic variables and missing numbers in the above big-M simplex tableau by the fundamental insight. Find the optimal solution for (21, 22, 23) and the associated optimal value for Z. Show all calculation

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