If the objective function for a LPP is \( Z=3x+4y \) and the corner points for bounded feasible region are (9,0), (4,3), (2,5) and (0,8), then the maximum value of Z occurs at
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (0,8)
For a bounded feasible region, the maximum of Z occurs at a corner point. The values of Z = 3x + 4y at the corners are:
\( \displaystyle (9,\,0):\ Z=27 \)
\( \displaystyle (4,\,3):\ Z=12+12=24 \)
\( \displaystyle (2,\,5):\ Z=6+20=26 \)
\( \displaystyle (0,\,8):\ Z=32 \)
The largest value is 32, at (0, 8).