Question -
Answer -
The feasible region determined by the system of constraints, 3x +5y ≤15, 5x +2y ≤10, x ≥0, and y ≥0, are given below
O (0, 0), A (2, 0), B (0, 3) and C (20 / 19, 45 / 19) are thecorner points of the feasible region. The values of Z at these corner pointsare given below
| Corner point | Z = 5x + 3y | |
| O (0, 0) | 0 | |
| A (2, 0) | 10 | |
| B (0, 3) | 9 | |
| C (20 / 19, 45 / 19) | 235 / 19 | Maximum |
Hence, the maximum value of Z is 235 / 19 at the point (20 / 19,45 / 19)