Question: Consider the following MOLP: MAX: 4X1 + 2X2 MIN: X1 + 3X2 Subject to: 2X1 + X2 18 X1 + 4X2 12 X1

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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a b X 1 X 2 Obj 1 Obj 2 4 0 16 4 9 0 36 9 857 0857 36 111 133 266 1066 933 c If ... View full answer

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