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UNIVERSIDAD DE LA FRONTERA FACULTAD DE INGENIER ´ IA CIENCIAS Y ADMINISTRACI ´ ON DEPARTAMENTO DE INGENIER ´ IA MATEM ´ ATICA Tarea 3 de Laboratorio de Optimizaci´on Fecha de entrega: Fechas Publicadas en la plataforma CAMPUS VIRTUAL 1. Considere un problema de transporte con cinco or´ ıgenes y seis destinos cuya matriz de costos viene dada por C = 10 2 5 30 0 20 15 56 62 0 25 63 25 6 63 23 12 89 58 22 58 1000 25 0 25 21 23 56 23 23 con una existencia de 23 , 45 , 55 , 15 , 115 en cada uno de sus or´ ıgenes y una demanda de 64 , 50 , 23 , 12 , 56 , 48 para cada uno de sus destinos. a ) Resuelva el siguiente problema de transporte usando los softwares MATLAB, AM- PL y WINQSB. Compare sus resultados. b ) Muestre la soluci´on dual del problema de transporte y su base asociada 2. Considere el siguiente problema de programaci´on lineal ax z = x 1 + 3 x 2 s.a x 1 + 4 x 2 100 x 1 + 2 x 2 60 x 1 + x 2 50 x 1 , x 2 0

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