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Consider the Following Multi-Objective Linear Programming Problem MOLP)

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Essay

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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Definitions:

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Part of a series of British laws that regulated maritime trade and laid the foundation for the British colonial mercantile system, aiming to restrict colonial trade to English ships and goods.

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