Tarea de métodos

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UNIVERSIDAD VIRTUAL





Maestría en sistemas de calidad y productividad.

METODOS DE OPTIMIZACIÓN PARA LA TOMA DE DECISIONES (UV.IN4016L.1211.1)
Profesor Tutor: Ramón Urbina TrujilloTarea 1

EQUIPO 32

|Estudiante |Matricula |Campus |
|Edgar René López Mena |A01311711 |Guadalajara |
|MariselaValenzuela Gómez |A01303935 |Guadalajara |
|Rodrigo Vallejo Perez Bouquet |A01311712 |Guadalajara |
|Wendy Susana Islas de la Mora|A01000639 |Guadalajara |






ENERO DE 2012

Tarea 1
Instrucciones. Resolver los siguientes problemas.
Problema 1 (extraído del libro detexto, modificado problema 2, página 55)
Farmer Jones must determine how many acres of corn and wheat to plant this year. An acre of wheat yields 25 bushels of wheat and requires 10 hours of labor perweek. An acre of corn yields 10 bushels of corn and requires 4 hours of labor per week. All wheat can be sold at $4 a bushel, and all corn can be sold at $3 a bushel. Seven acres of land and 40 hours perweek of labor are available. Government regulations require that at least 30 bushels of corn be produced during the current year. Let x1 = number of acres of corn planted, and x2= number of acres ofwheat planted.
a. Using these decision variables formulate an LP whose solution will tell Farmer Jones how to maximize the total revenue from wheat and corn.
b. Is (x1 = 2, x2 = 3) in the feasibleregion?
c. Is (x1 = 4, x2 = 3) in the feasible region?
d. Is (x1 = 2, x2 = -1) in the feasible region?
e. Is (x1 = 3, x2 =2) in the feasible region?

Solución:
a)

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b) SÍ C) NoD) No E) Si

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