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  • Solve the following Linear Programming Problems graphically z =-3x+4y

2. Solve the following Linear Programming Problems graphically:

Minimise  z=-3x+4y

Subject to .x+2y\leq 8,3x+2y\leq 12,x\geq 0,y\geq 0.

Show that the minimum of Z occurs at more than two points

Answers (1)

best_answer

The region determined by constraints, x+2y\leq 8,3x+2y\leq 12,x\geq 0,y\geq 0. is as follows,

               

The corner points of feasible region are A(2,3),B(4,0),C(0,0),D(0,4)

 The value of these points at these corner points are : 

Corner points            z=-3x+4y  
        A(2,3)                6  

        B(4,0)

             -12 Minimum
       C(0,0)              0  
        D(0,4)              16  

The minimum value of Z is -12  at B(4,0)

Posted by

seema garhwal

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