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Is there a software package that can output all optimal solutions of a linear program if there are multiple such solutions?

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What do you mean by "all?" Suppose you have a three-variable problem, your constraints limit you to the cube $0\le x\le 1$, $0\le y\le 1$, $0\le z\le 1$, and the problem is to minimize $x+y$. You have uncountably many optimal solutions, so you can't output all of them. –  Ben Crowell Jan 25 '12 at 6:11
    
i meant all the optimal basic feasible solutions –  extraeee Jan 25 '12 at 6:28
    
Did you check CPLEX? –  user2468 Jan 25 '12 at 19:16

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