Question -
Answer -
The feasible region determined by the constraints, 2x + y ≥3, x +2y ≥6, x ≥0, and y ≥0, is given below
A (6, 0) and B (0, 3) are the corner points of the feasibleregion
The values of Z at the corner points are given below
| Corner point | Z = x + 2y |
| A (6, 0) | 6 |
| B (0, 3) | 6 |
Here, the values of Z at points A and B are same. If we take anyother point such as (2, 2) on line x + 2y = 6, then Z = 6
Hence, the minimum value of Z occurs for more than 2 points.
Therefore, the value of Z is minimum at every point on the linex + 2y = 6