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Linear Programming Template - Graphical method

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Plantilla para resolver problemas de programación lineal por el método gráfico.

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Linear Programming Template - Graphical method

  1. 1. http://licmata-math.blogspot.mx/ Formato 1 Aplicaciones de la programación lineal. Método Gráfico Alumno: ________________________________________ Grupo: ______ Sección: ______ Fecha: _______________ Organización de los datos del problema. Escribir las desigualdades que expresan las restricciones del problema y la función objeti- vo. Resolución del sistema de desigualdades. En primer lugar hay que convertir las desigual- dades en ecuaciones y tabular para obtener las gráficas de las rectas. Productos o Artículos Recursos necesarios A1 A2 Disponibilidad de los recursos R1 R2 R3 R4 Ganancia Función Objetivo Restricción 1 Restricción 2 Restricción 3 Restricción 4 Restricciones de no negatividad Desigualdad 1 Desigualdad 2 Desigualdad 3 Desigualdad 4 x y = x y = x y = x y =
  2. 2. http://licmata-math.blogspot.mx/ Formato 1 Aplicaciones de la programación lineal. Método Gráfico Traza las rectas en el siguiente plano cartesiano y sombrea las áreas que corresponden a las so- luciones de cada desigualdad. La intersección de estas áreas es la solución del sistema. Identifica el área de solu- ciones factibles asignan- do un nombre a cada vértice. Determina las coordenadas de los vértices: ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ Los procedimientos anótalos a la vuelta, en las líneas de arriba escribe solamente las coordenadas de los vértices. Sustituye los valores de equis y ye de cada vértice en la función objetivo y determina la solución señalando el que proporciona el valor óptimo de la función objetivo. Resultado del problema: ________________________________________________________________ ____________________________________________________________________________________ Punto Valor de x Valor de y Sustitución en la función objetivo: _______________________________ Resultado A(___, ___) B(___, ___) C(___, ___) D(___, ___) E(___, ___)

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