Question: Problem 4 (40 pts): Consider the following problem. Minimize Z = 3x1 + 2x2, subject to 2x1 + x2 10 -3x1 + 2x2 6 x1

Problem 4 (40 pts): Consider the following problem. Minimize Z = 3x1 + 2x2, subject to 2x1 + x2 10

-3x1 + 2x2 6 x1 + x2 6 and x1 0, x2 0. (a) Solve this problem graphically. (b) 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. (c) Work through the simplex method step by step to solve the problem.

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