Question: Consider the following problem. Maximize Z = 5x1 + 5x2 + 13x3, Subject to and xj ¥ 0 (j = 1, 2, 3). If we

Consider the following problem.
Maximize Z = €“5x1 + 5x2 + 13x3,
Subject to

and
xj ‰¥ 0 (j = 1, 2, 3).
If we let x4 and x5 be the slack variables for the respective constraints, the simplex method yields the following final set of equations:

12 4210 90 (0) Z +2x3 + 5x4 =100 -Xi +X2 + 3x3 + 14 20 16, -2x3-4x4 +X5 =10. (2)

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