CUET · MATHS · PYQ PAPER 2023
The corner points of the feasible region determined by the system of linear inequalities are \((0, 0), (0, 4), (4, 0), (2, 4)\) and \((0, 5)\). If the maximum value of \(Z = ax + by\) where \(a, b > 0\) occurs at both \((2, 4)\) and \((4, 0)\), then
- A \(a = b\)
- B \(a = 2b\)
- C \(2a = b\)
- D \(a = 3b\)
Answer & Solution
Correct Answer
(B) \(a = 2b\)
Step-by-step Solution
Detailed explanation
\(a(2) + b(4) = a(4) + b(0)\) \(2a + 4b = 4a\) \(4b = 2a\) \(a = 2b\)
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