The feasible region determined by the system of constraints,
is given below
O (0, 0), A (4, 0), B (2, 3) and C (0, 4) are the corner points of the feasible region
The values of Z at these corner points are given below
| Corner point | Z = – 3x + 4y | |
| O (0, 0) | 0 | |
| A (4, 0) | -12 | Minimum |
| B (2, 3) | 6 | |
| C (0, 4) | 16 |
Hence, the minimum value of Z is – 12 at the point (4, 0)