hw5_Solutions

hw5_Solutions - ORIE 3300/5300 Assignment 5 SOLUTION Fall...

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Unformatted text preview: ORIE 3300/5300 Assignment 5 SOLUTION Fall 2008 Problem 1 We add four slack variables and set up the first tableau: z- 3 x 3 = 0- x 2 + x 3 + x 4 = 0 + x 2 + x 3 + x 5 = 2- x 1 + x 3 + x 6 = 0 x 1 + x 3 + x 7 = 2 We choose x 3 to enter the basis. The ratio rule shows us a tie between x 4 and x 6 as a leaving variable, and we choose x 4 by the min-index rule. The resulting tableau is z- 3 x 2 + 3 x 4 = 0- x 2 + x 3 + x 4 = 0 + 2 x 2- x 4 + x 5 = 2- x 1 + x 2- x 4 + x 6 = 0 x 1 + x 2- x 4 + x 7 = 2 Now the only choice for the entering variable is x 2 , and x 6 is the only choice for the leaving variable. The resulting tableau is: z- 3 x 1 + 3 x 6 = 0- x 1 + x 3 + x 6 = 0 2 x 1 + x 4 + x 5- 2 x 6 = 2- x 1 + x 2- x 4 + x 6 = 0 2 x 1- x 6 + x 7 = 2 Finally, again the only choice for the entering variable is x 1 and there is a tie between x 5 and x 7 for the leaving variable. By the min-index rule, we choose x 5 to leave the basis....
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This homework help was uploaded on 02/20/2009 for the course ORIE 3300 taught by Professor Todd during the Fall '08 term at Cornell.

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hw5_Solutions - ORIE 3300/5300 Assignment 5 SOLUTION Fall...

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