CUET · MATHS · PYQ PAPER 2023
The maximum value of \(Z=3 x+4 y\) subject to constraint \(x+y \leq 6, x, y \geq 0\) is:
- A 18
- B 20
- C 22
- D 24
Answer & Solution
Correct Answer
(D) 24
Step-by-step Solution
Detailed explanation
Vertices: \( (0,0), (0,6), (6,0) \) At \( (0,0): Z=3(0)+4(0)=0 \) At \( (0,6): Z=3(0)+4(6)=24 \) At \( (6,0): Z=3(6)+4(0)=18 \) Maximum value: \( 24 \)
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