CUET · MATHS · PYQ PAPER 2023
The corner points of the feasible region determined by the system of linear constraints are \((0,3),(1,1)\) and \((3,0)\).
Let \(Z=p x+q y\), where \(p, q>0\), be the objective function.
Then the condition on \(p\) and \(q\) so that the minimum of \(Z\)
occurs at \((3,0)\) and \((1,1)\) is:
- A \(p=q\)
- B \(p=3 q\)
- C \(p=\frac{q}{2}\)
- D \(p=\frac{q}{3}\)
Answer & Solution
Correct Answer
(C) \(p=\frac{q}{2}\)
Step-by-step Solution
Detailed explanation
\(Z(3,0) = p(3) + q(0) = 3p\) \(Z(1,1) = p(1) + q(1) = p+q\) \(3p = p+q\) \(2p = q\) \(p = \frac{q}{2}\)
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