If the objective function for an LPP is \( Z=4x+5y \) and the corner points for bounded feasible region are (10, 0), (5, 3), (2, 5) and (0, 6), then the minimum value of \( Z \) occurs at
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (0, 6)
Value of Z = 4x + 5y at the corner points:
\( \displaystyle (10,0):\ Z=40 \)
\( \displaystyle (5,3):\ Z=20+15=35 \)
\( \displaystyle (2,5):\ Z=8+25=33 \)
\( \displaystyle (0,6):\ Z=30 \)
The smallest value is 30, so the minimum occurs at (0, 6).