# Question: Consider the following problem Minimize Z 2x1 3x2 x3 Subject

Consider the following problem.

Minimize Z = 2x1 +3x2 + x3,

Subject to

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

(a) Reformulate this problem to fit our standard form for a linear programming model presented in Sec. 3.2.

(b) Using the Big M method, work through the simplex method step by step to solve the problem.

(c) Using the two-phase method, work through the simplex method step by step to solve the problem.

Minimize Z = 2x1 +3x2 + x3,

Subject to

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

(a) Reformulate this problem to fit our standard form for a linear programming model presented in Sec. 3.2.

(b) Using the Big M method, work through the simplex method step by step to solve the problem.

(c) Using the two-phase method, work through the simplex method step by step to solve the problem.

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