X3 cantidad de 42 restricciones final sombra

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X3= Cantidad de Productos 40 0 18 42 Restricciones Final Sombra Restricción Permisible Celda Nombre Valor Precio Lado derecho Aumentar $I$157 R1 Consumo 480 3.2307692308 480 22.941176471 $I$158 R2 Consumo 500 1.0384615385 500 780 $I$159 R3 Consumo 570 0 600 1E+030
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Analizar los cambios de au Permisible Reducir Max Min 1E+030 12.8076923 Infinito 4.8666666667 24 4.13333333 6.75 60 35.25 Permisible Analizar los cambios de au Reducir Max Min 292.5 502.941176 -269.558824 260 1280 520 30 Infinito Infinito En Rosado se resaltan los valores en que p En rosado se muestra la cantidad ma
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umento y reducción de los coeficientes de las variables de la función ob umento y reducción de las disponibilidades de las restricciones. e nos podemos mover tanto el precio maximo y el precio minimo por producto para que se mantenga la solución Optima axima y cantidad minima que se puede modificar los recursos disponibles sin afectar el precio sombra
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bjetivo.
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Ejercicio 1. X1 X2 X3 Recurso Disponible R1 3 4 3 480 R2 3 2 8 500 R3 2 5 3 600 Utilidad 10 15 18 Modelo Canonico s.a. 3X1 + 4X2 + 3X3 ≤ 480 3X1+2X2+8X3 ≤ 500 2X1+5x2+3x3≤ 600 X1,X2,X3 ≥ 0 El modelo Dual queda de la Siguiente forma: s.a. 3Y1 + 3Y2 + 2Y3 ≥ 10 4Y1 + 2Y2 + 5Y3 ≥ 15 3Y1+ 8Y2 + 3Y3≥ 18 Z Max = 10X1 + 15X2 + 18X3 Z min = 480Y1 + 500Y2 + 600Y3
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Y1, Y2, Y3 ≥ 0 Modelo Estandar Función Objetivo: Z- 480Y1 - 500Y2 - 600Y3 = 0 Restricciones 3Y1 + 3Y2 + 2Y3 - S1 =10 4Y1 + 2Y2 + 5Y3 - S2 = 15 3Y1+ 8Y2 + 3Y3 - S3 = 18 Nuevo Modelo Estandar Función Objetivo: Z- 480Y1 - 500Y2 - 600Y3 = 0 Restricciones -3Y1 -3Y2 -2Y3+S1 = -10 -4Y1 -2Y2 - 5Y3 + S2 = -15 -3Y1- 8Y2 -3Y3 + S3 = -18
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Ejercicio 1. X1 X2 X3 Recurso Disponible R1 3 4 3 480 R2 3 2 8 500 R3 2 5 3 600 Utilidad 10 15 18 Modelo Canonico s.a. 3X1 + 4X2 + 3X3 ≤ 480 3X1+2X2+8X3 ≤ 500 2X1+5x2+3x3≤ 600 X1,X2,X3 ≥ 0 El modelo Dual queda de la Siguiente forma: s.a.
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