Consider the application of the simplex method to an LP of standard form. Assume that the rows of the matrix A are linearly independent. Give either a proof or a counterexample to the following statements. d. If there is a non degenerate optimal basis, then there exists a unique optimal basis e. If x is an optimal solution, no more than m of its components can be positive, where m is the number of equality constraints.

Consider the application of the simplex method to an LP of standard form. Assume that the rows of the matrix A are linearly independent. Give either a proof or a counterexample to the following statements. d. If there is a non degenerate optimal basis, then there exists a unique optimal basis e. If x is an optimal solution, no more than m of its components can be positive, where m is the number of equality constraints.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter8: Evolutionary Solver: An Alternative Optimization Procedure

Section: Chapter Questions

Problem 38P

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