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प्रश्न
If z = 200x + 500y .....(i)
Subject to the constraints:
x + 2y ≥ 10 .......(ii)
3x + 4y ≤ 24 ......(iii)
x, 0, y ≥ 0 ......(iv)
At which point minimum value of Z is attained.
पर्याय
(0, 5)
(4, 3)
(0, 6)
(6, 4)
MCQ
उत्तर
(4, 3)
Explanation:
The shaded region in the figure is the feasible region ABC determined by the bounded system of constraints (2) to (4). The coordinates of the comer points are (0, 5), (4, 3), and (0, 6). At these points, we now evaluate Z = 200x + 500y.
As a result, the minimum value of Z attained at the point is 2300. (4, 3)
| Corner point | Corresponding value of Z |
| (0, 5) | 2500 |
| (4, 3) | 2300 Minimum |
| (0, 6) | 3000 |
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