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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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Graphical Method 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
Graphical method
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 = 2x1  x2
subject to
3x1  x2 <= 3
4x1  3x2 <= 6
x1  2x2 <= 3
and x1,x2 >= 0
max z = 15x1 + 10x2
subject to
4x1 + 6x2 <= 360
3x1 <= 180
5x2 <= 200
and x1,x2 >= 0
max z = 2x1 + x2
subject to
x1 + 2x2 <= 10
x1 + x2 <= 6
x1  x2 <= 2
x1  2x2 <= 1
and x1,x2 >= 0
max z = x1 + 2x2
subject to
x1  x2 <= 1
0.5x1 + x2 <= 2
and x1,x2 >= 0
max z = 40x1 + 80x2
subject to
2x1 + 3x2 <= 48
x1 <= 15
x2 <= 10
and x1,x2 >= 0
max z = 60x1 + 40x2
subject to
x1 <= 25
x2 <= 35
2x1 + x2 <= 60
and x1,x2 >= 0
min z = 3x1 + 2x2
subject to
5x1 + x2 >= 10
x1 + x2 >= 6
x1 + 4x2 >= 12
and x1,x2 >= 0
min z = 600x1 + 400x2
subject to
3x1 + 3x2 >= 40
3x1 + x2 >= 40
2x1 + 5x2 >= 44
and x1,x2 >= 0
min z = 4x1 + 3x2
subject to
200x1 + 100x2 >= 4000
x1 + 2x2 >= 50
40x1 + 40x2 >= 1400
and x1,x2 >= 0
min z = x1 + 2x2
subject to
x1 + 3x2 <= 10
x1 + x2 <= 6
x1  x2 <= 2
and x1,x2 >= 0
max z = 15x1  10x2
subject to
3x1  5x2 <= 5
5x1  2x2 <= 3
and x1,x2 >= 0
max z = 600x1 + 500x2
subject to
2x1 + x2 >= 80
x1 + 2x2 >= 60
and x1,x2 >= 0
max z = 3x1 + 2x2
subject to
x1  x2 >= 1
x1 + x2 >= 3
and x1,x2 >= 0
max z = 5x1 + 4x2
subject to
x1  2x2 <= 1
x1 + 2x2 >= 3
and x1,x2 >= 0
max z = 4x1 + 3x2
subject to
x1  x2 <= 0
x1 <= 4
and x1,x2 >= 0
max z = 3x1 + 4x2
subject to
x1  x2 = 1
x1 + x2 <= 0
and x1,x2 >= 0
max z = 6x1  4x2
subject to
2x1 + 4x2 <= 4
4x1 + 8x2 >= 16
and x1,x2 >= 0
max z = x1 + 1/2x2
subject to
3x1 + 2x2 <= 12
5x1 = 10
x1 + x2 >= 8
x1 + x2 >= 4
and x1,x2 >= 0
max z = 3x1 + 2x2
subject to
2x1 + 3x2 <= 9
3x1  2x2 <= 20
and x1,x2 >= 0
Solution
Help
Graphical Method
Solution
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Solve the following LP problem using Graphical method
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