CUET CUET Mathematics 2024 - An objective function Z=a x+b y is maximum at points (8,2) and (4,6). If a ≥ 0 and b ≥ 0 and a b=25, then the maximum value of the function is equal to : | PYQs + Solutions

CUET Mathematics 2024

Algebra

Linear Programming

Easy

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 :

60

50

40

80

Correct Option: 2

Will be added.

Related questions:

CUET Mathematics 2024

x+y \leq 8, 2 x+y \geq 8, x \geq 0, y \geq 0

A(0,8), B(4,0)

C(8,0)

Z=a x+

A B

a

b

CUET Mathematics 2024

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

CUET Mathematics 2024

4 x+y \geq 80, x+5 y \geq 115,3 x+2 y \leq 150, x, y \geq 0