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Question
Maximise Z = x + 2y subject to the constraints
`x + 2y >= 100`
`2x - y <= 0`
`2x + y <= 200`
Solve the above LPP graphically
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Solution
x + 2y ≥ 100
`x/100 + y/50` >= 1 ....(i)
`2x - y <= 0`
| x | 10 | 20 | 30 |
| y | 20 | 40 | 60 |
| (x,y) | (10,20) | (20,40) | (30,60) |
∴ Z is maximum at 0, 200 & max Z = 400
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