Question: 8. Consider the following multiobjective model. The decision maker thinks that achieving 50, 10 and 20 goal levels for each of the objectives respectively would

8. Consider the following multiobjective model.

8. Consider the following multiobjective model. The decision maker thinks that achieving 50, 10 and 20 goal levels for each of the objectives respectively would be satisfactory. Convert the model to a goal program minimizing the weighted sum of goal violations using the weights 5, 3, 2 for the corresponding objectives. (8 P) Max Z1 = X1 + 5x2 + 7x3 Min Z2 = x2 X3 Min Zz = 10x1 - 5x2 S.t. 2x1 + 3x2 + 5x3

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