# Question

Consider the following problem.

Maximize Z = x1 + 4x2 + 2x3,

Subject to

and x2 ≥ 0, x3 ≥ 0.

(no nonnegativity constraint for x1).

(a) Reformulate this problem so all variables have nonnegativity constraints.

(b) Work through the simplex method step by step to solve the problem.

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

Maximize Z = x1 + 4x2 + 2x3,

Subject to

and x2 ≥ 0, x3 ≥ 0.

(no nonnegativity constraint for x1).

(a) Reformulate this problem so all variables have nonnegativity constraints.

(b) Work through the simplex method step by step to solve the problem.

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

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