*New code written for removing artificial column from Iteration table (on 17Sep17).
It may be possible, some working problem may not work properly. If you find any such problem then mail me immediately with the problem, so i will try my best to improve the software as soon as possible.

Solve the Linear programming problem using
Primal to dual conversion

Type your linear programming problem


OR

Total Variables :
Total Constraints :



Click On Generate


Mode :



Find


 max z = x1  x2 + 3x3
subject to x1 + x2 + x3 <= 10 2x1  x2  x3 <= 2 2x1  2x2  3x3 <= 6 and x1,x2,x3 >= 0
 min z = 3x1  2x2 + 4x3
subject to 3x1 + 5x2 + 4x3 >= 7 6x1 + x2 + 3x3 >= 4 7x1  2x2  x3 <= 10 x1  2x2 + 5x3 >= 3 4x1 + 7x2  2x3 >= 2 and x1,x2,x3 >= 0
 min z = x1 + 2x2
subject to 2x1 + 4x2 <= 160 x1  x2 = 30 x1 >= 10 and x1,x2 >= 0
 min z = x1  3x2  2x3
subject to 3x1  x2 + 2x3 <= 7 2x1  4x2 >= 12 4x1 + 3x2 + 8x3 = 10 and x1,x2 >= 0 and x3 unrestricted in sign
 max z = x1  2x2 + 3x3
subject to 2x1 + x2 + 3x3 = 2 2x1 + 3x2 + 4x3 = 1 and x1,x2,x3 >= 0
 max z = 3x1 + x2 + 2x3  x4
subject to 2x1  x2 + 3x3 + x4 = 1 x1 + x2  x3 + x4 = 3 and x1,x2 >= 0 and x3,x4 unrestricted in sign
