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cular iteration of the simplex method, if ther riable should be the leaving basic variable, i on must have at least one basic variable ec s no leaving basic variable at some iteratie has no feasible solutions

cular iteration of the simplex method, if ther riable should be the leaving basic variable, i on must have at least one basic variable ec s no leaving basic variable at some iteratie has no feasible solutions

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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4.5-1. Consider the following statements about linear program- ming and the simplex method. Label each statement as true or false, and then justify your answer. (a) In a particular iteration of the simplex method, if there is a tie for which variable should be the leaving basic variable, then the next BF solution must have at least one basic variable equal to zero. (b) If there is no leaving basic variable at some iteration, then the problem has no feasible solutions. (c) If at least one of the basic variables has a coefficient of zero in row 0 of the final tableau, then the problem has multiple op- timal solutions. (d) If the problem has multiple optimal solutions, then the prob- lem must have a bounded feasible region.
Transcribed Image Text:4.5-1. Consider the following statements about linear program- ming and the simplex method. Label each statement as true or false, and then justify your answer. (a) In a particular iteration of the simplex method, if there is a tie for which variable should be the leaving basic variable, then the next BF solution must have at least one basic variable equal to zero. (b) If there is no leaving basic variable at some iteration, then the problem has no feasible solutions. (c) If at least one of the basic variables has a coefficient of zero in row 0 of the final tableau, then the problem has multiple op- timal solutions. (d) If the problem has multiple optimal solutions, then the prob- lem must have a bounded feasible region.
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