The corner points of the feasible region for an L.P.P are (2, 0), (7, 0), (4, 5) and (0, 3) and z = 2x + 3y is the objective function. The difference of the maximum and minimum value of z is :
Answer & explanation
Correct answer: option 1
| Corner points | Objective function | |
| (x, y) | Z(x, y) = 2x + 3y | |
| (2, 0) | Z(2, 0) = 2(2) + 0 = 4 | |
| (7, 0) | Z(7, 0) = 2(7) + 0 = 14 | |
| (4, 5) | Z(4, 5) = 2(4) + 3(5) = 23 | |
| (0, 3) | Z(0, 3) = 0 + 3(3) = 9 |
Zmin = 4
Zmax = 23
So Zmax - Zmin = 23 - 4 = 19