If the minimum value of the objective function \(Z = ax + by\) of an LPP occurs at two points (3, 5) and (5, 3), then
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(a = b\)
If the minimum occurs at two points, Z takes the same value at both of them:
\(Z(3, 5) = 3a + 5b\)
\(Z(5, 3) = 5a + 3b\)
\(3a + 5b = 5a + 3b\)
\(2b = 2a\)
\(a = b\)