Maximize f = 40x1 + 20x2 subject to 3x1 + 2x2 120 x1 + x2

Question:

Maximize f = 40x1 + 20x2 subject to

3x1 + 2x2 ≤ 120

x1 + x2 ≤ 50

A primal maximization problem is given.

(a) Form the dual minimization problem.

(b) Solve both the primal and dual problems with the simplex method.

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