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PHPSimplex
Version 0.81

Copyright ©2006-2018. All rights reserved.

Developed by:
Daniel Izquierdo Granja
Juan José Ruiz Ruiz

English translation by:
Luciano Miguel Tobaria

French translation by:
Ester Rute Ruiz

Portuguese translation by:
Rosane Bujes

PHPSimplex

PHPSimplex


The problem is converted to canonical form by adding slack, surplus and artificial variables as appropiate (show/hide details)

MAXIMIZE: Z = 0.20 X1 + 0.10 X2 + 0.09 X3 + 0.11 X4Conversion to canonical formMAXIMIZE: Z = 0.2 X1 + 0.1 X2 + 0.09 X3 + 0.11 X4 + 0 X5 + 0 X6 + 0 X7 + 0 X8 + 0 X9 + 0 X10

subject to

1 X1 + 1 X2 + 1 X3 + 1 X4 ≤ 50000
1 X1 + 0 X2 + 0 X3 + 0 X4 ≤ 12500
0 X1 + 0 X2 + 1 X3 + 0 X4 ≤ 10500
0 X1 + 0 X2 + 0 X3 + 1 X4 ≤ 10000
3 X1 -1 X2 + 0 X3 + 0 X4 ≤ 0
0.5 X1 + 0.5 X2 -1 X3 -1 X4 ≤ 0

subject to

1 X1 + 1 X2 + 1 X3 + 1 X4 + 1 X5 = 50000
1 X1 + 1 X6 = 12500
0 X1 + 1 X3 + 1 X7 = 10500
0 X1 + 1 X4 + 1 X8 = 10000
3 X1 -1 X2 + 1 X9 = 0
0.5 X1 + 0.5 X2 -1 X3 -1 X4 + 1 X10 = 0
X1, X2, X3, X4 ≥ 0X1, X2, X3, X4, X5, X6, X7, X8, X9, X10 ≥ 0

We'll build the first tableau of the Simplex method.

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Direct Solution

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