guia_2_optimizacion[1]

guia_2_optimizacion[1] - Gu´ ıa 2 de Optimizaci´on,...

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Unformatted text preview: Gu´ ıa 2 de Optimizaci´on, MA37-A Profesor: Jorge Amaya Auxiliares : Rodrigo L´opez, Francisco Silva P1 Considere el problema: max 3 x 1 + x 2 + 4 x 3 6 x 1 + 3 x 2 + 5 x 3 ≤ 25 3 x 1 + 4 x 2 + 5 x 3 ≤ 20 x 1 ,x 2 ,x 3 ≥ La tabla final, entreg´ ando la soluci´on ´optima es: 2 1/5 3/5 17 1-1/3 1/3-1/3 5/3 1 1-1/5 2/5 3 a) Indentifique las soluciones y encuentre el problema dual. b) Identifique la soluci´on ´optima del problema dual y verif´ ıquela resolvi´ endola gr´aficamente. c) Suponga que el problema original se modifica de la siguiente manera: max 3 x 1 + 3 x 2 + 4 x 3 6 x 1 + 3 x 2 + 5 x 3 ≤ 25 3 x 1 + 3 x 2 + 5 x 3 ≤ 20 x 1 ,x 2 ,x 3 ≥ Use dualidad para determinar si la soluci´on anterior sigue siendo ´optima, y encuentre los coefi- cientes de x 2 en el sistema de ecuaciones final. d) Suponga que el problema original se modifica de la siguiente manera: max 3 x 1 + x 2 + 4 x 3 + 2 x 4 6 x 1 + 3 x 2 + 5 x 3 + 3 x 4 ≤ 25 3 x 1 + 4 x 2 + 5 x 3 + 2 x 4 ≤...
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This note was uploaded on 06/22/2008 for the course OPE 300 taught by Professor Mariomorales during the Spring '08 term at Universidad de Chile.

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guia_2_optimizacion[1] - Gu´ ıa 2 de Optimizaci´on,...

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