CUET · MATHS · PYQ PAPER 2023
| Resource | Found | Requirement units | |
| \(I (x kg)\) | \(II (y kg)\) | ||
| Calcium (units/kg) | 3 | 2 | 9 |
| Vitamin (units/kg) | 4 | 1 | 5 |
| Cost (Rs/kg) | 40 | 60 |
Formulate the L.P.P. to minimize the cost
- A \(\operatorname{Min} z=40 x+60 y\)
\(3 x+2 y \geq 9\)
\(4 x+y \geq 5\)
\(x, y \geq 0\) - B \(\operatorname{Min} z=9 x+5 y\)
\(3 x+2 y \geq 40\)
\(4 x+y \geq 60\)
\(x, y \geq 0\) - C \(\operatorname{Min} z=40 x+60 y\)
\(3 x+2 y \leq 9\)
\(4 x+y \leq 10\)
\(x, y \leq 0\) - D \(\operatorname{Min} z=9 x+5 y\)
\(3 x+2 y \leq 40\)
\(4 x+y \geq 60\)
\(x, y \geq 0\)
Answer & Solution
Correct Answer
(A) \(\operatorname{Min} z=40 x+60 y\)
\(3 x+2 y \geq 9\)
\(4 x+y \geq 5\)
\(x, y \geq 0\)
Step-by-step Solution
Detailed explanation
\(\operatorname{Min} z=40 x+60 y\) \(3 x+2 y \geq 9\) \(4 x+y \geq 5\) \(x, y \geq 0\)
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