Tarea4Eq13

# Tarea4Eq13 - INSTITUTO TECNOLOGICO Y DE ESTUDIOS SUPERIORES...

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INSTITUTO TECNOLOGICO Y DE ESTUDIOS SUPERIORES DE MONTERREY UNIVERSIDAD VIRTUAL METODOS DE OPTIMIZACION PARA LA TOMA DE DECISIONES TAREA 4 EQUIPO 13: JONATHAN COLÍN PICHARDO A00743239 AYDE ORIHUELA LEYVA A00927380 LUIS ROMULO ROMERO GUADARRAMA A00927779 FECHA DE ENTREGA: 27 DE FEBRERO 2012

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Las tablas correspondientes a los problemas 2 y 3 se encuentran en el archivo anexo. C:\Users\Ayd é \ Documents\Maestr í a\ Instrucciones . Resolver los siguientes problemas. Problema 1 (extraído del libro de texto, problema 3, página 301) Formulate the dual of the following LP: Solución: El modelo dual quedaría como sigue: Min w = 5y1 + 7y2 + 6y3 + 4y4 s.t. y1 + 2y2 + y4 ≥ 4 y1 + y2 + 2y3 = -1 + y3 + y4 = 2 y1, y2 ≥ 0 y3 ≤ 0 y4 urs Problema 2 (extraído del libro de texto, problema 1, página 335) Use the dual simplex method to solve the following LP:
Solución: Formáto estándar: Max z = -2x1 - x3 s.t x1 + x2 - x3 – E1 = 5 x1 – 2x2 + 4x3 – E2 = 8 x1, x2, x3, E1, E2 ≥ 0 VB x1 x2 x3 E1 E2 RHS z 2 0 1 0 0 0 E1 1 1 -1 -1 0 5 E2 1 -2 4 0 -1 8 VB x1 x2 x3 E1 E2 RHS z 2 0 1 0 0 0 E1 -1 -1 1 1 0 -5 E2 -1 2 -4 0 1

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