Question: 3. The simplex method is a typically efficient algorithm for solving linear programs. However, there is no version of it that has been shown theoretically


3. The simplex method is a typically efficient algorithm for solving linear programs. However, there is no version of it that has been shown theoretically to solve any linear program in polynomial time. In fact, it is much worse. In 1972, Klee and Minty came up with an example in '31 dimensions that requires 2\" 1 iterations if Dantzig's rule1 is used to choose entering variables. These problems are of the form 1nalef.l\"_j3:j j=l s.t. . 1 2 (SUPjay) +1.} 5 100\"\
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