Mathematics · Linear Programming
A bounded feasible region of a linear programming problem has vertices at (0, 2), (2, 1), and (0, 3). Which of the following sets of constraints defines this feasible region?
- 1x + 2y ≥ 4, x + y ≥ 3, x ≤ 0, y ≤ 0
- 2x + 2y ≥ 4, x + y ≥ 3, x ≥ 0, y ≥ 0
- 3x + 2y ≤ 4, x + y ≤ 3, x ≥ 0, y ≥ 0
- 4x + 2y ≥ 4, x + y ≤ 3, x ≥ 0, y ≥ 0✓
Correct answer
x + 2y ≥ 4, x + y ≤ 3, x ≥ 0, y ≥ 0
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