The corner points of a bounded feasible region are (0, 5), (6, 1), (17, 2) and (4, 29). If the maximum value of objective function \(z = px + qy\) where \(p\) and \(q \gt 0\) occurs at two points (17, 2) and (4, 29), then the relation between \(p\) and \(q\) is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(13p = 27q\)
When the maximum occurs at two corner points, z has the same value at both of them (and at every point of the edge joining them):
\(z(17, 2) = z(4, 29)\)
\(17p + 2q = 4p + 29q\)
\(13p = 27q\)