Suppose that an optimization model in decision variables w1 and w2 has constrain

Question

Suppose that an optimization model in decision variables w1 and w2 has constraints 5w1 + 2w2 10, w2 0.

1. Devise a maximizing linear objective function for which the model has a unique optimal solution and demonstrate that fact by solving the model graphically.

2. Devise a maximizing linear objective function for which the model has multiple optimal solutions and demonstrate that fact by solving the model graphically.

3. Devise a maximizing linear objective function for which the model is unbounded and demonstrate that fact by solving the model graphically.

Explanation / Answer

Suppose that an optimization model in decision variables w1 and w2 has constrain

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