If \(z=5x+8y\) is the objective function of a LPP and (0, 0), (3, 1), (2, 4), (0, 3), (5, 0) are corner points of the bounded feasible region, then the maximum value of the objective function is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 42
For a bounded feasible region, the maximum of z occurs at a corner point. Values of \(z = 5x + 8y\):
\((0, 0):\ z = 0\)
\((3, 1):\ z = 15 + 8 = 23\)
\((2, 4):\ z = 10 + 32 = 42\)
\((0, 3):\ z = 24\)
\((5, 0):\ z = 25\)
The maximum value is 42, at (2, 4).