linear programming II

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Mathematics

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please solve the attached questions as clear as you can showing all the solution steps with illustrate every single step to understand how you solve it.

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MATH 521 HOMEWORK D DUE 10/15/18 (1) Consider the linear program Maximize subject to z= 2x1 + 4x2 2x1 + 3x2 5x1 + 2x2 x 1 , x2 x3 2x3 4 x3  12 0; x3 free (a) Transform the LP into equality form with variables taking non-negative values. (b) (Phase I) Introduce artificial variable(s) and solve Phase I via simplex method to obtain an initial basic feasible solution. (c) (Phase II) Use the simplex method to solve the original LP. Date: October 1, 2018.
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