Consider the following MOLP: MAX: 4X1 + 2X2 MIN: X1 + 3X2 Subject to: 2X1 + X2

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Consider the following MOLP:

MAX: 4X1 + 2X2

MIN: X1 + 3X2

Subject to: 2X1 + X2 ≤ 18

X1 + 4X2 ≤ 12

X1 + X2 ≥ 4

X1, X2 ≥ 0

a. Graph the feasible region for this problem.

b. Calculate the value of each objective at each extreme point.

c. What feasible points in this problem are Pareto optimal?


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