Consider the Following Multi-Objective Linear Programming Problem MOLP)

question 17

Essay

Consider the following multi-objective linear programming problem MOLP):
MAX: ^{3 X}₁ ^{+ 4 X}₂
MAX: ^{2 X}₁ ^{+ X}₂
Subject to: ^{6 X}₁ ^{+ 13 X}₂ ^{? 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?

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