The corner points of the bounded feasible region for an LPP are: (5, 5), (15, 15), (0, 20) and (0, 10). Let \(z=3x+9y\) be the objective function. Then the value of maximum (z) - minimum (z) is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 120
For a bounded feasible region, the maximum and the minimum of z both occur at corner points.
\(z(5, 5) = 15 + 45 = 60\)
\(z(15, 15) = 45 + 135 = 180\)
\(z(0, 20) = 180\)
\(z(0, 10) = 90\)
So the maximum is 180 and the minimum is 60:
\(180 - 60 = 120\)