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About AtoZmath.com
Collection of online calculators which will help you to solve mathematical problems with their step by step solution at just a mouse click.
All calculators are free!
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Primal to dual conversion calculator
*New code written for Multiple optimal solution if exists (on 30Oct17).
*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 :
Fraction
Decimal
Solve after converting Min function to Max function
Alternate Solution (if exists)
Artificial Column Remove
Tooltip for calculation steps
Highlight dependent cells
Find
1. Simplex (BigM) method
2. TwoPhase method
3. Dual simplex method
4. Integer simplex method
5. Graphical method
6. Primal To Dual
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
Solution
Help
Primal to dual
Solution
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Solve the following LP problem using Primal to dual conversion
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