Question: Question 3 (50%). Consider the following problem. Maximize subject to Z = 4x1 + 2x2 + 3x3 + 5x4 2x1 + 3x2 + 4x3 +

Question 3 (50%). Consider the following problem.

Question 3 (50%). Consider the following problem. Maximize subject to Z = 4x1 + 2x2 + 3x3 + 5x4 2x1 + 3x2 + 4x3 + 2x4 = 8x1 + x2 + x3 + 5x4 = X; > 0 (j = 1, 2, 3, 4). 300 300 (a) Using the big-M method, construct the complete first simplex tableau for the simplex method and identify the corresponding initial (artificial) BF solution. Also identify the initial entering basic variable and the leaving basic variable. (b) Work through the big-M method (in tabular form) step by step to solve the

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