Question: Consider the following problem. Maximize Z = 8x1 + 4x2 + 6x3 + 3x4 + 9x5, Subject to And x1 0, j = 1,.,5.

Consider the following problem.
Maximize Z = 8x1 + 4x2 + 6x3 + 3x4 + 9x5,
Subject to

Consider the following problem.Maximize Z = 8x1 + 4x2 +

And x1 ‰¥ 0, j = 1,.,5.

You are given the facts that the basic variables in the optimal solution are x3, x1, and x5 and that

+ 2x2 + 3x3 + 3x4 180 (resource 1) 4x 3x2 +

(a) Use the given information to identify the optimal solution.

(b) Use the given information to identify the shadow prices for the three resources.

+ 2x2 + 3x3 + 3x4 180 (resource 1) 4x 3x2 + 213 x4Is 270 (resource 2) x1 + 3x2 +x4 + 3L5 s 180 (resource 3)

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