CUET · MATHS · PYQ PAPER 2025
The maximum value of the objective function \(Z=10 x+15 y\) of an L.P.P, whjected to the constraints
\(2 x+4 y \leq 8,\)
\(3 x+y \leq 6\)
\(-x-y \geq-4\)
\(x \geq 0, y \geq 0\) is :
- A 60
- B 38
- C 30
- D 34
Answer & Solution
Correct Answer
(D) 34
Step-by-step Solution
Detailed explanation
\((0,0)\) \((2,0)\) \((8/5, 6/5)\) \((0,2)\) \(Z(0,0) = 10(0)+15(0) = 0\) \(Z(2,0) = 10(2)+15(0) = 20\) \(Z(8/5, 6/5) = 10(8/5)+15(6/5) = 16+18 = 34\) \(Z(0,2) = 10(0)+15(2) = 30\) \(\text{Maximum value} = 34\)
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