If the objective function \(z = px + qy\) has its maximum value at the points (2, 1) and (0, 6), then the relationship between \(p\) and \(q\) is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(2p=5q\)
If the maximum occurs at two points, z must take the same value at both points:
\(z(2, 1) = z(0, 6)\)
\(2p + q = 6q\)
\(2p = 5q\)