Assignment No. – 01

 

ECE

                                                                  

 

Qu.1)  Max Z = x1 + 2x2 + +3x3 – x4

                S.T.  x1 + 2x2 + 3x3 = 15

                        2x1 + x2 + 5x3 = =20

                        x1 + 2x2 + x3 + x4 = 10,       x1, x2, x3, x4 ≥ 0

 

Qu. 2)  Maximize  Z = 3x1 – x2

                  S.T.   2x1 + x2 ≤ 2

                           x1 + 3x2  ≥ 3

                           x2 ≤ 4                x1, x2 ≥ 0

 

Qu. 3)  Maximize  Z = 3x1 – x2

                   S.T.  2x1 + x2 ≥ 2

                             x1 + 3x3  ≤ 3

                             x2 ≥ 4,            x1,x2 ≥ 0

 

 

 

Qu. 4)  Maximize  Z = 8x1 + 5x2

                   S.T.  2x1 + x2 ≤ 500

                             x1 ≤ 150

                             x2 ≤ 250,        x1 x2 ≥ 0