The feasible region corresponding to the linear constraints of a Linear Programming Problem (LPP) is represented by the shaded region in the given figure. Which of the following is not a constraint to the given LPP? |
$x + 2y ≤ 10$ $x + y ≥2$ $x-y≥1$ $x- y ≤1$ |
$x-y≥1$ |
The correct answer is Option (3) → $x-y≥1$ The shaded region lies below the line $x - y = 1$. That means the actual constraint must be: $x - y \le 1$ The option $x - y \ge 1$ represents the region above the line, which does NOT include the feasible region. Thus, the constraint that is NOT part of the LPP is $x - y \ge 1$. |