7/21/2019 Pregunta 1

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#DEFINO MIS VARIABLES Y SU NATURALEZA

# xij : cantidad de litros de malta i (i=3,5,8,9) utilizados en la produccion de whiskey j (j=1,2,3)#donde 1=rojo , 2=azul, 3=negro

#Malta tipo 3

var x31 >= 0 ;var x32 >= 0 ;var x33 >= 0 ;#Malta tipo 5var x51 >= 0 ;var x52 >= 0 ;var x53 >= 0 ;#Malta tipo 8var x81 >= 0 ;var x82 >= 0 ;var x83 >= 0 ;#Malta tipo 9

var x91 >= 0 ;var x92 >= 0 ;var x93 >= 0 ;

#FUNCION OBJETIVOmaximize z=8*(x31 + x51 + x81 + x91) + 6.5*(x32 + x52 + x82 + x92) + 6*(x33 + x53 + x83 + x93) - 6.5*(x31 + x32 + x33) - 6*(x51 +x52 + x53) - 5.25*(x81 + x82+x83) - 4.5(x91 + x92 + x93);

#RESTRICCIONES

#Suministro de maltasubject to restriccion1 : x31 + x32 + x33 <= 10000;

subject to restriccion2 : x51 + x52 + x53 <= 12500;subject to restriccion3 : x81 + x82 + x83 <= 15000;subject to restriccion4 : x91 + x92 + x93 <= 15000;

# Formulas produccion de whiskey#Etiqueta Rojasubject to restriccion5 : x31 = 0.5*(x31 + x51 + x81 + x91);subject to restriccion6 : x51 <= 0.25*(x31 + x51 + x81 + x91);subject to restriccion7 : x91 <= 0.1*(x31 + x51 + x81 + x91);subject to restriccion8 : x51 >= 0.2*(x31 + x51 + x81 + x91);subject to restriccion9 : x81 <= 0.2*(x31 + x51 + x81 + x91);

#Etiqueta Azulsubject to restriccion10 : x32 <= 0.3*(x32 + x52 + x82 + x92);subject to restriccion11 : x52 >= 0.3*(x32 + x52 + x82 + x92);subject to restriccion12 : x82 = 0.3*(x32 + x52 + x82 + x92);subject to restriccion13 : x92 <= 0.15*(x32 + x52 + x82 + x92);#Etiqueta Negrasubject to restriccion14 : x33 = 0;subject to restriccion15: x53 >= 0.3*(x33 + x53 + x83 + x93);subject to restriccion16 : x83 <= 0.1*(x33 + x53 + x83 + x93);subject to restriccion17 : x93 <= 0.25*(x33 + x53 + x83 + x93);