Determine whether adding each of the following constraints to a mathematical program would tighten or relax the

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Determine whether adding each of the following constraints to a mathematical program would tighten or relax the feasible set and whether any implied change in the optimal value would be an increase or a decrease. Assume that the constraint is not the only one.

(a) Maximize problem, 2w1 + 4w2 Ú 10.

(b) Maximize problem, 14w1 - w2 Ú 20.

(c) Minimize problem, 45w1 + 34w2 … 77.

(d) Minimize problem, 32w1 + 67w2 … 49.

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