4.6-14. Consider the following problem. Maximize Z = -x, + 2x2 + X3, subject to 3x2 + X3 s 120 X - X2 - 4x, s 80 -3x, + X2 + 2x, s 100 (no nonnegativity constraints). (a) Reformulate this problem so that all variables have nonnega- tivity constraints. D.I (b) Work through the simplex method step by step to solve the problem. c (c) Use a computer package based on the simplex method to solve the problem.

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A: see the attachments

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