# Question

Consider the following problem.

Minimize Z = 2x1 + x2 +3x3,

Subject to

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

(a) Using the two-phase method, work through phase 1 step by step.

(b) Use a software package based on the simplex method to formulate and solve the phase 1 problem.

(c) Work through phase 2 step by step to solve the original problem.

(d) Use a software package based on the simplex method to solve the original problem.

Minimize Z = 2x1 + x2 +3x3,

Subject to

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

(a) Using the two-phase method, work through phase 1 step by step.

(b) Use a software package based on the simplex method to formulate and solve the phase 1 problem.

(c) Work through phase 2 step by step to solve the original problem.

(d) Use a software package based on the simplex method to solve the original problem.

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