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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 = 50 X1 + 25 X2 + 20 X3 + 30 X4Conversion to canonical formMAXIMIZE: Z = 50 X1 + 25 X2 + 20 X3 + 30 X4 + 0 X5 + 0 X6 + 0 X7

subject to

16 X1 + 4 X2 + 8 X3 + 12 X4 ≤ 640
30 X1 + 5 X2 + 10 X3 + 20 X4 ≤ 900
2 X1 + 3 X2 + 1 X3 + 2 X4 ≤ 200

subject to

16 X1 + 4 X2 + 8 X3 + 12 X4 + 1 X5 = 640
30 X1 + 5 X2 + 10 X3 + 20 X4 + 1 X6 = 900
2 X1 + 3 X2 + 1 X3 + 2 X4 + 1 X7 = 200
X1, X2, X3, X4 ≥ 0X1, X2, X3, X4, X5, X6, X7 ≥ 0

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

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Direct Solution

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