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Maximise Z= x+2y
subject to the constraints
x+2y\geq 100
2x-y\leq 0
2x+y\leq 200
x,y\geq 0
Solve the above LPP graphically.

 

 

 

 
 
 
 
 

Answers (1)

given, Maximize Z= x+2y
subject to constraints : x+2y\geq 100\; \; 2x-y\leq 0
                                    2x+y\leq 200\; \; x,y\geq 0


converting the in equations into equations we obtain the lines
 x+2y= 100
2x-y= 0|
2x+y= 200
Then x+2y= 100 

x 0 100
y 50 0

        2x-y= 0 

x 10 20
y 20 40

           2x+y= 200  

x 0 100
y 200 0

 Plotting there points on the graph, we get the   shaded feasible region ie ADFEA
              

Posted by

Ravindra Pindel

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