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I solve this linear programing problem. But I realized there are more than one basic variable (a variable appearing in only one equation) are present in the same equation. Is it possible to happen or I am making some mistake? There are a lot of variables in the program. 51 equations and 5052 variables!

Masoud
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  • Is "equation" a constraint in the original problem, or in the simplex tableau? – LinAlg Oct 02 '16 at 00:36
  • There is one objective function and 50 inequalities that are changed into equalities. I also have 100 equalities in the original problem that I used to eliminate 100 variables in simplex tableau. – Masoud Oct 02 '16 at 00:40
  • and do you have more than one basic variable in one row of the simplex tableau? – LinAlg Oct 02 '16 at 00:43
  • YES! I have that problem. – Masoud Oct 02 '16 at 00:45
  • That cannot happen. As soon as you create the second basic variable, the first one becomes nonbasic. – LinAlg Oct 02 '16 at 00:45

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