Q. 3

Maximise z = x + 2y
Subject to the constraints

x + 2y ≥ 100

2x – y ≤ 0

2x + y ≤ 200

x, y ≥ 0

Solve the above LPP graphically. [CBSE 2017]

Answer :

x + 2y = 100 ...(1)


2x - y = 0 ...(2)


2x + y = 200 ...(3)


x = 0, y = 0 ...(4)


Draw the graph of lines (1), (2), (3) & (4) and then find the corner


points.



Corner points are A(100, 0), B(50, 100), C(20, 40)



Thus, Maximum is at point B and maximum value is 250.

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