Question -
Answer -
The feasible region determined by the constraints, x +2y ≤120, x + y ≥60, x −2y ≥0, x ≥0, and y ≥0, is given below
A (60, 0), B (120, 0), C (60, 30), and D (40, 20) are the cornerpoints of the feasible region. The values of Z at these corner points are given
| Corner point | Z = 5x + 10y | |
| A (60, 0) | 300 | Minimum |
| B (120, 0) | 600 | Maximum |
| C (60, 30) | 600 | Maximum |
| D (40, 20) | 400 | |
The minimum value of Z is 300 at (60, 0) and the maximum valueof Z is 600 at all the points on the line segment joining (120, 0) and (60, 30)