The objective function for a L.P.P. is \(Z = 5x + 7y\) and the corner points of the bounded feasible region are (0, 0), (7, 0), (3, 4) and (0, 2), then the maximum value of Z occurs at
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (3, 4)
For a bounded feasible region, the maximum of Z occurs at a corner point. Values of Z = 5x + 7y at the corners:
\(Z(0, 0) = 0\)
\(Z(7, 0) = 35\)
\(Z(3, 4) = 15 + 28 = 43\)
\(Z(0, 2) = 14\)
The largest value is 43, at (3, 4).