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प्रश्न
A linear programming problem is as follows:
Minimize Z = 30x + 50y
Subject to the constraints: 3x + 5y ≥ 15, 2x + 3y ≤ 18, x ≥ 0, y ≥ 0
In the feasible region, the minimum value of Z occurs at:
विकल्प
a unique point
no point
infinitely many points
two points only
MCQ
उत्तर
infinitely many points
Explanation:
| Corner points of the feasible region | Z = 30x + 50y |
| (5, 0) | 150 |
| (9, 0) | 270 |
| (0, 3) | 150 |
| (0, 6) | 300 |
The minimum value of Z occurs at infinitely many points.
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