Q23 of 45 Page 1

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.

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.


1212.png


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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