CUET CUET Mathematics 2024 - The corner points of the feasible region determined by x+y ≤ 8, 2 x+y ≥ 8, x ≥ 0, y ≥ 0 are A(0,8), B(4,0) and C(8,0). If the objective function Z=a x+ by has its maximum value on the line segment A B, then the relation between a and b is : | PYQs + Solutions

CUET Mathematics 2024

Algebra

Linear Programming

Medium

The corner points of the feasible region determined by $x+y \leq 8, 2 x+y \geq 8, x \geq 0, y \geq 0$ are $A(0,8), B(4,0)$ and $C(8,0)$ . If the objective function $Z=a x+$ by has its maximum value on the line segment $A B$ , then the relation between $a$ and $b$ is :

8 a+4=b

a=2 b

\mathrm{b}=2 \mathrm{a}

8 b+4=a

Correct Option: 2

Will be added.