Question: Maximize Z = 5x 1 + 4x 2 + 3x 3 subject to x 1 + x 3 < 15 x 2 + 2x 3

Maximize Z = 5x1 + 4x2 + 3x3

subject to

x1 + x3 < 15

x2 + 2x3 < 25

and x1, x2, x3 > 0

a. Construct the dual problem for this primal problem.

b. Use the Big M Method and apply the simplex directly to the dual problem to verify your results.

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