Question: Problem 3. Consider the following linear program (LP). min 3.5x1 + 2.5x2 + 5x3 + x4 + 7Xs - X6 s.t. -x1 - x2 +

Problem 3. Consider the following linear program
Problem 3. Consider the following linear program (LP). min 3.5x1 + 2.5x2 + 5x3 + x4 + 7Xs - X6 s.t. -x1 - x2 + x3 + x4 + x3 + x6 s 20 2x1 - x4 + 5x5 + X6 2 1 x1 + x2 2-10 Xs - X6 18 X1, X230, X3, X, 20 a) Use Excel solver to solve this LP. (15 points) b) If the coefficient of X6 in the objective function is changed from the current"-1" to Co, what is the range of co so that the current optimal basis will remain the same? Use Excel to answer this question, and explicitly show the range with proper reason in your answer. (10 points)

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