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Consider the Following Multi-Objective Linear Programming Problem MOLP)

Question 17

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Consider the following multi-objective linear programming problem MOLP):
MAX: 3 X1 + 4 X2
MAX: 2 X1 + X2
Subject to: 6 X1 + 13 X2 ? 78
12 X1 + 9 X2 ? 108
8 X1 + 10 X2 ? 80 X1,X2 ? 0
Graph the feasible region for this problem and compute the value of each objective at each extreme point.What are the solutions to each of the component LPs? Consider the following multi-objective linear programming problem MOLP): MAX: <sup>3 X</sup><sub>1 </sub><sup>+ 4 X</sup><sub>2</sub> MAX: <sup>2 X</sup><sub>1 </sub><sup>+ X</sup><sub>2</sub> Subject to: <sup>6 X</sup><sub>1 </sub><sup>+ 13 X</sup><sub>2 </sub><sup>? 78</sup> 12 X<sub>1 </sub>+ 9 X<sub>2 </sub>? 108 8 X<sub>1 </sub>+ 10 X<sub>2 </sub>? 80 X<sub>1</sub>,X<sub>2 </sub>? 0 Graph the feasible region for this problem and compute the value of each objective at each extreme point.What are the solutions to each of the component LPs?

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