CUET · MATHS · PYQ PAPER 2025
The maximum value of the objective function \(Z=2 x+y\) of an LPP, subject to the constraints \(x \leq 6, y \leq 2, x-y \leq 0\), \(x \geq 0, y \geq 0\), is:
- A \(14\)
- B \(6\)
- C \(12\)
- D \(8\)
Answer & Solution
Correct Answer
(B) \(6\)
Step-by-step Solution
Detailed explanation
Corner points of feasible region: \( (0,0), (0,2), (2,2) \). \( Z(0,0) = 2(0) + 0 = 0 \) \( Z(0,2) = 2(0) + 2 = 2 \) \( Z(2,2) = 2(2) + 2 = 6 \) Maximum value is \( 6 \).
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