If corner points of the bounded feasible region are (0, 0), (3, 0) and (0, 3) and objective function is \(Z = 4x + 7y\), then the maximum value of Z is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 21
By the corner point method, the maximum of Z over a bounded feasible region occurs at a corner point.
At (0, 0): \(Z = 0\)
At (3, 0): \(Z = 4(3) = 12\)
At (0, 3): \(Z = 7(3) = 21\)
The maximum value of Z is 21, at (0, 3).