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Consider the following problem Maximize Z 2x1 7x2

Consider the following problem.

Maximize Z = 2x1 + 7x2 + 4x3

Subject to

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

(a) Construct the dual problem for this primal problem.

(b) Use the dual problem to demonstrate that the optimal value of Z for the primal problem cannot exceed 25.

Maximize Z = 2x1 + 7x2 + 4x3

Subject to

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

(a) Construct the dual problem for this primal problem.

(b) Use the dual problem to demonstrate that the optimal value of Z for the primal problem cannot exceed 25.

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