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Questions
Find the feasible solution of the following inequation:
2x + 3y ≤ 6, x + y ≥ 2, x ≥ 0, y ≥ 0
Solve the following inequations graphically and write the corner points of the feasible region:
2x + 3y ≤ 6, x + y ≥ 2, x ≥ 0, y ≥ 0
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Solution
First we draw the lines AB and CB whose equations are 2x + 3y = 6 and x + y = 2 respectively.
| Line | Equation | Points on the X-axis | Points on the Y-axis | Sign | Region |
| AB | 2x + 3y = 6 | A (3,0) | B (0,2) | ≤ | origin side of line AB |
| CB | x + y = 2 | C (2,0) | B(0,2) | ≥ | non-origin side of line CB |
The feasible solution is ΔABC which is shaded in the graph.
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