# Question: Consider the following problem Maximize Z 2x1 4x2

Consider the following problem.

Maximize Z = 2x1 + 4x2 + 3x3,

Subject to

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

(a) Work through the simplex method step by step in algebraic form.

(b) Work through the simplex method step by step in tabular form.

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

Maximize Z = 2x1 + 4x2 + 3x3,

Subject to

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

(a) Work through the simplex method step by step in algebraic form.

(b) Work through the simplex method step by step in tabular form.

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

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