If the objective function for an L.P.P is \( Z=2x+5y \) and the corner points for bounded feasible region are (8, 0), (2, 3), (3, 5), and (0, 7), then the minimum value of \( Z \) occurs at
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (8, 0)
The minimum of Z on a bounded region occurs at a corner point:
At (8, 0): Z = 16
At (2, 3): Z = 4 + 15 = 19
At (3, 5): Z = 6 + 25 = 31
At (0, 7): Z = 35
The smallest value is 16, at (8, 0).