Question: Consider the following problem. Maximize Z = 2x1 x2 + x3, Subject to and x1 ¥ 0, x2 ¥ 0, x3 ¥ 0. If we

Consider the following problem.
Maximize Z = 2x1 €“ x2 + x3,
Subject to

Consider the following problem.
Maximize Z = 2x1 €“ x2 +

and
x1 ‰¥ 0, x2 ‰¥ 0, x3 ‰¥ 0.
If we let x4, x5, and x6 be the slack variables for the respective constraints, the simplex method yields the following final set of equations:

Consider the following problem.
Maximize Z = 2x1 €“ x2 +

3x 2 2x 15 (0) (1) Z +2x3 +x4 + x5 x2 + 5x3 +x4 + 3x5 =18 =24 (3) x1 +4x3 +x4 + 2x5-21.

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