Question -
Answer -
The feasible region determined by the constraints, x +2y ≤10, 3x + y ≤15, x ≥0, and y ≥0, is given below
A (5, 0), B (4, 3), C (0, 5) and D (0, 0) are the corner pointsof the feasible region.
The values of Z at these corner points are given below
| Corner point | Z = 3x + 2y | |
| A (5, 0) | 15 | |
| B (4, 3) | 18 | Maximum |
| C (0, 5) | 10 | |
Hence, the maximum value of Z is 18 at the point (4, 3)