Question: Solve below problem: 12. a) Set up a linear program that will determine a feasible solution to the following system of equations and inequalities if

Solve below problem:

12. a) Set up a linear program that will determine a feasible solution to the following system of equations and inequalities if one exists. Do not solve the linear program. x1 - 6x2 + X3 - X4 = 5, -2x2 + 2x3 - 3x4 2 3, 3x1 -2x3 + 4x4 = -1, x1 2 0, x3 2 0, x4 2 0. b) Formulate a phase I linear program to find a feasible solution to the system: 3x1 +2x2 - X3 I -3, -x1 - x2 + 2x3

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