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PHPSimplex
Version 0.81

Copyright ©2006-2021. 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 = 30 X1 + 25 X2Conversion to canonical formMAXIMIZE: Z = 30 X1 + 25 X2 + 0 X3 + 0 X4 + 0 X5

subject to

2 X1 + 1 X2 ≤ 40
1 X1 + 3 X2 ≤ 45
1 X1 0 X2 ≤ 12

subject to

2 X1 + 1 X2 + 1 X3 = 40
1 X1 + 3 X2 + 1 X4 = 45
1 X1 + 1 X5 = 12
X1, X2 ≥ 0X1, X2, X3, X4, X5 ≥ 0

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

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Direct Solution

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