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Which of the following is a correct set of constraints for a linear programming problem ? |
$x+2y ≤50, 3x+y ≤ 80, x≥0, y ≥ 0$ $x+2y ≤50, 3x^2+y^2 ≤ 80, x≥0, y ≥ 0$ $x+2y ≤50, 3x+y ≥ 80, x≤0, y ≥ 0$ $x+2y ≥50, 3x+y ≥ 80, x ≥0, y ≤ 0$ |
$x+2y ≤50, 3x+y ≤ 80, x≥0, y ≥ 0$ |
The correct answer is Option (1) → $x+2y ≤50, 3x+y ≤ 80, x≥0, y ≥ 0$ Option 2: The inequality is quadratic. Option 3 & 4: Non-negativity constraint is not followed. Option 1: All inequalities are linear, and non-negativity is followed. Therefore it is a valid set of constraints. |
