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प्रश्न
Find the graphical solution for the system of linear inequation 2x + y ≤ 2, x − y ≤ 1
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उत्तर
To find graphical solution, construct the table as follows:
| Inequation | Equation | Double intercept form |
Points (x, y) |
Region |
| 2x + y ≤ 2 | 2x + y = 2 | `x/1 + y/2` = 1 | A(1, 0) B(0, 2) |
2(0) + 0 ≤ 2 ∴ origin side |
| x − y ≤ 1 | x − y = 1 | `x/1 + y/(-1)` = 1 | A(1, 0) C(0, −1) |
0 - 0 ≤ 1 ∴ origin side |
The shaded portion represents the graphical solution.
संबंधित प्रश्न
Minimize: Z = 6x + 4y
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Maximize : Z = 6x + 4y
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Also find maximum value of Z.
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Subject to : 3x+2y ≥12
x+y ≥5
0 ≤x ≤4
0 ≤ y ≤ 4
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Food |
F1 | F2 |
| Thiamine | 0.25 | 0.10 |
|
| Phosphorous | 0.75 | 1.50 | |
| Iron | 1.60 | 0.80 | |
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A feasible solution to a linear programming problem
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The shaded part of given figure indicates in feasible region, then the constraints are:
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