Q23 of 39 Page 1

Solve the following L.P.P. graphically:

Minimise z = 5x+10y


Subject to x+2y less than equal to 120


Constraints x+y geater than or equal to 60


x-2y geater than or equal to 0


and x , y geater than or equal to 0

Given; z = 5x + 10y

x + 2y ≤ 120


x + y ≥ 60


x − 2y ≥ 0


x, y ≥ 0



The boundary points are


(60,30),(40,20),(60,0) and (120,0)


At (60,30)


z = 600


At (40,20)


z = 400


At (120,0)


z = 600


At (60,0)


z = 300


∴ The minimum value of z is 300 at (60,0)


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