CUET · MATHS · PYQ PAPER 2025
The maximum value of \(z=5 x+7 y\) subjected to constraints \(x+y \leq 5, x \geq 0, y \geq 0\) is :
- A 35
- B 25
- C 40
- D 20
Answer & Solution
Correct Answer
(A) 35
Step-by-step Solution
Detailed explanation
Vertices: \( (0,0), (5,0), (0,5) \) \( z(0,0) = 5(0) + 7(0) = 0 \) \( z(5,0) = 5(5) + 7(0) = 25 \) \( z(0,5) = 5(0) + 7(5) = 35 \) Maximum value is \( 35 \).
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