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Maximise Z = X + 2y Subject to the Constraints X + 2y >= 10 2x - Y <= 0 and 2x + Y <= 20 Solve the Above Lpp Graphically - CBSE (Commerce) Class 12 - Mathematics

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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

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

  Is there an error in this question or solution?

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Solution Maximise Z = X + 2y Subject to the Constraints X + 2y >= 10 2x - Y <= 0 and 2x + Y <= 20 Solve the Above Lpp Graphically Concept: Graphical Method of Solving Linear Programming Problems.
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