CUET Mathematics 2024 PYQs

The feasible region represented by the constraints $4 x+y \geq 80, x+5 y \geq 115,3 x+2 y \leq 150, x, y \geq 0$ of an LPP is

An objective function $Z=a x+b y$ is maximum at points $(8,2)$ and $(4,6)$. If $a \geq 0$ and $b \geq 0$ and $a b=25$, then the maximum value of the function is equal to :

Which one of the following represents the correct feasible region determined by the following constraints of an LPP?

$x+y \geq 10,2 x+2 y \leq 25, x \geq 0, y \geq 0$