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प्रश्न
Solve the following linear programming problem graphically:
Maximise Z = 2x +3y
subject to the constraints:
x + y ≤ 6
x ≥ 2
y ≤ 3
x, y ≥ 0
आलेख
योग
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उत्तर
Constraints:
x + y ≤ 6
x ≥ 2
y ≤ 3
x, y ≥ 0
Let x + y = 6
| x | 0 | 6 | 1 |
| y | 6 | 0 | 5 |
| Corner points | z = 2x + 3y |
| A (2, 0) | 2 × 2 + 3 × 0 = 4 |
| B (6, 0) | 2 × 6 + 3 × 0 = 12 |
| C (3, 3) | 2 × 3 + 3 × 3 = 15 |
| D (2, 4) | 2 × 2 + 3 × 4 = 16 |
aximum value of Z is 16 at D (2, 4).
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