CUET Mathematics 2025 22 May Shift 1 PYQs

The corner points of the feasible region determined by a system of linear constraints are $(0, 0)$, $(0, 40)$, $(20, 40)$, $(60, 20)$, $(60, 0)$. If the objective function is $z = 4x + 3y$, then which one of the following is true?

The region represented by the system of inequalities $x, y \geq 0, y \leq 6, x + y \leq 3$

The objective function of an LPP is $z = ax + py, (a, p > 0)$ in that has to be maximized/minimized subject to constraints

$x + y \leq 3$, $x \geq 0$, $y \geq 0$. Then max (z) = min (z) is equal to