CUET · MATHS · PYQ PAPER 2025
The maximum value of the objective function \(Z=8 x+2 y\) of an L.P.P. subject to the constraints: \(2 x+y \leq 3,2 x+3 y \leq 6, x \geq 0, y \geq 0 \) is:
- A 12
- B 9
- C 16
- D 6
Answer & Solution
Correct Answer
(A) 12
Step-by-step Solution
Detailed explanation
Vertices of feasible region: Intersection of \(2x+y=3\) and \(2x+3y=6\): \((2x+3y)-(2x+y)=6-3 \Rightarrow 2y=3 \Rightarrow y=1.5\) \(2x+1.5=3 \Rightarrow 2x=1.5 \Rightarrow x=0.75\). Point: \((0.75, 1.5)\) Intersection of \(2x+y=3\) with x-axis (\(y=0\)):…
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