Mathematics · Linear Programming
For a linear programming problem, if the feasible region is bounded by the intercepts on the positive axes such that the boundary lines pass through (4,0), (0,2) and (2,0), (0,4) respectively, which of the following sets of inequalities represents a valid system with non-negative constraints x, y ≥ 0?
- 12x - 4y ≤ 8, 6x + 3y ≥ 12, x, y ≥ 0
- 22x + 4y ≥ 8, 6x + 3y ≤ 12, x, y ≥ 0
- 32x + 4y ≤ 8, 6x + 3y ≥ 12, x, y ≥ 0✓
- 42x - 4y ≤ 8, 6x - 3y ≥ 12, x, y ≥ 0
Correct answer
2x + 4y ≤ 8, 6x + 3y ≥ 12, x, y ≥ 0
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