If the objective function for a LPP is Z = 3x + 5y and the corner points of the bounded feasible region are (0, 0), (6, 0), (3, 5) and (0, 3), then the value of |max (Z) - min (Z)| is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 34
For a bounded feasible region, the maximum and minimum occur at corner points:
\( \displaystyle (0,\,0):\ Z=0 \)
\( \displaystyle (6,\,0):\ Z=18 \)
\( \displaystyle (3,\,5):\ Z=9+25=34 \)
\( \displaystyle (0,\,3):\ Z=15 \)
The maximum is 34 at (3, 5) and the minimum is 0 at (0, 0):
\( \displaystyle |\max Z-\min Z|=|34-0|=34 \)