Question: Consider the following problem. Maximize Z = 2x1 + 7x2 + 4x3 Subject to and x1 ¥ 0, x2 ¥ 0, x3 ¥ 0. (a)

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.

x1 + 2x2 + x3 10 3x 32t213 10

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a b 0 52 is feasible for the dual problems By weak duality W 10... View full answer

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