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Tarea8Eq13

# Tarea8Eq13 - 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 8 EQUIPO 13: AYDE ORIHUELA LEYVA A00927380 LUIS ROMULO ROMERO GUADARRAMA A00927779 FECHA DE ENTREGA: 09 DE ABRIL 2012

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Instrucciones . Resolver los siguientes problemas. Problema 1 (extraído del libro de texto, problema 4, página 371) Steelco manufactures three types of steel at different plants. The time required to manufacture 1 ton of steel (regardless of type) and the costs at each plant are shown in Table 8. Each week, 100 tons of each type of steel (1, 2, and 3) must be produced. Each plant is open 40 hours per week. a Formulate a balanced transportation problem to minimize the cost of meeting Steelco’s weekly requirements. b Suppose the time required to produce 1 ton of steel depends on the type of steel as well as on the plant at which it is produced (see Table 9). Could a transportation problem still be formulated? Problema 2 (extraído del libro de texto, problema 2, página 398) Doc Councillman is putting together a relay team for the 400-meter relay. Each swimmer must swim 100 meters of breaststroke, backstroke, butterfly, or freestyle. Doc believes that each swimmer will attain the times given in Table 51. To minimize the team’s time for the race, which swimmer should swim which stroke? Solución: Min z = 54 gf + 51 mf + 50 jf + 56 cf + 54 gb + 57 mb + 53 jb + 54 cb + 51 gfl + 52 mfl + 54 jfl + 55 cfl + 53 gba + 52 mba + 56 jba + 53 cba Sujeto a:
gf + gb + gfl + gba = 1 mf + mb + mfl + mba = 1 jf + jb + jfl + jba = 1 cf + cb + cfl + cba = 1 gf + mf + jf + cf = 1 gb + mb + jb + cb = 1 gfl + mfl + jfl + cfl = 1 gba + mba + jba + cba = 1 Al resolver con Lindo; obtenemos lo siguiente: LP OPTIMUM FOUND AT STEP 8 OBJECTIVE FUNCTION VALUE 1) 207.0000 VARIABLE VALUE REDUCED COST GF 0.000000 4.000000 MF 0.000000 0.000000 JF 1.000000 0.000000 CF 0.000000

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Tarea8Eq13 - INSTITUTO TECNOLOGICO Y DE ESTUDIOS SUPERIORES...

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