165:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El problema de las dietas en animales:@0.096359:0.100406:0.393081:0.100406:0.393081:0.083505:0.096359:0.083505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un granjero se dedica a engordar cerdos para la venta, para ello requiere cumplir con :@0.096359:0.120570:0.716523:0.120570:0.716523:0.104181:0.096359:0.104181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los mínimos nutricionales que requieren estos animales para su crecimiento. Se necesi-:@0.096359:0.137167:0.712542:0.137167:0.712542:0.120778:0.096359:0.120778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ta una composición mínima de 14 unidades de una sustancia A y 10 de otra sustancia B.:@0.096359:0.153763:0.712513:0.153763:0.712513:0.137374:0.096359:0.137374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el almacén agropecuario encuentra dos clases de compuestos del tipo T1 y T2 , el :@0.096359:0.177482:0.716558:0.177482:0.716558:0.161093:0.096359:0.161093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primero tiene una composición de una unidad de A y cinco del tipo B, con un precio :@0.096359:0.194078:0.716486:0.194078:0.716486:0.177689:0.096359:0.177689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de $15 por kilogramo; y el segundo compuesto tiene una composición de 2 unida-:@0.096359:0.210675:0.712410:0.210675:0.712410:0.194286:0.096359:0.194286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
des de A y una unidad de B, con un precio de $30 por kilogramo.:@0.096359:0.227271:0.570108:0.227271:0.570108:0.210882:0.096359:0.210882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El granjero desea determinar qué cantidad de los distintos tipos de compuestos :@0.096359:0.250990:0.716541:0.250990:0.716541:0.234601:0.096359:0.234601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debe comprar para cumplir los requisitos nutricionales a un costo mínimo.:@0.096359:0.267586:0.640835:0.267586:0.640835:0.251197:0.096359:0.251197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102309:0.290643:0.157944:0.290643:0.157944:0.275065:0.102309:0.275065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos las variables que intervienen y completamos la tabla.:@0.157944:0.290643:0.613051:0.290643:0.613051:0.275744:0.157944:0.275744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.102309:0.312859:0.109094:0.312859:0.109094:0.297985:0.102309:0.297985:0.000000
: representa la cantidad en kilogramos del compuesto  1.:@0.109094:0.312859:0.489031:0.312859:0.489031:0.297960:0.109094:0.297960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.470553:0.312859:0.477941:0.312859:0.477941:0.297985:0.470553:0.297985:0.000000
y:@0.102309:0.335076:0.109110:0.335076:0.109110:0.320202:0.102309:0.320202:0.000000
: representa la cantidad en kilogramos del compuesto  2:@0.109110:0.335076:0.486133:0.335076:0.486133:0.320177:0.109110:0.320177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.470570:0.335076:0.477958:0.335076:0.477958:0.320202:0.470570:0.320202:0.000000
Paso 2. :@0.102309:0.463496:0.157944:0.463496:0.157944:0.447919:0.102309:0.447919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos las restricciones del problema y la función objetivo.:@0.157944:0.463496:0.601421:0.463496:0.601421:0.448597:0.157944:0.448597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cantidad mínima de la sustancia  .   + 5  ≥ 14:@0.102309:0.485713:0.410721:0.485713:0.410721:0.470814:0.102309:0.470814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A x:@0.322385:0.485713:0.344750:0.485713:0.344750:0.470839:0.322385:0.470839:0.000000:0.000000:0.000000
y:@0.370247:0.485713:0.377048:0.485713:0.377048:0.470839:0.370247:0.470839:0.000000
Cantidad mínima de la sustancia  . 2  +   ≥ 10:@0.102309:0.500801:0.409766:0.500801:0.409766:0.485902:0.102309:0.485902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B x:@0.322385:0.500801:0.351970:0.500801:0.351970:0.485927:0.322385:0.485927:0.000000:0.000000:0.000000
y:@0.369292:0.500801:0.376093:0.500801:0.376093:0.485927:0.369292:0.485927:0.000000
Función objetivo a minimizar:  ( ,  ) = 15  + 30:@0.102309:0.523017:0.413265:0.523017:0.413265:0.508118:0.102309:0.508118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F x y:@0.302766:0.523017:0.334696:0.523017:0.334696:0.508143:0.302766:0.508143:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.372808:0.523017:0.379593:0.523017:0.379593:0.508143:0.372808:0.508143:0.000000
y:@0.413265:0.523017:0.420067:0.523017:0.420067:0.508143:0.413265:0.508143:0.000000
Paso 3. :@0.102309:0.545472:0.157944:0.545472:0.157944:0.529895:0.102309:0.529895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ordenamos la información::@0.157944:0.545472:0.338833:0.545472:0.338833:0.530573:0.157944:0.530573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función objetivo:  ( , y) = 15  + 30 ,  sujeta a estas restricciones::@0.102309:0.560560:0.527563:0.560560:0.527563:0.545661:0.102309:0.545661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F x:@0.221300:0.560560:0.239844:0.560560:0.239844:0.545686:0.221300:0.545686:0.000000:0.000000:0.000000
x:@0.291911:0.560560:0.298696:0.560560:0.298696:0.545686:0.291911:0.545686:0.000000
y:@0.332368:0.560560:0.339169:0.560560:0.339169:0.545686:0.332368:0.545686:0.000000
Paso 4. :@0.102309:0.609620:0.157944:0.609620:0.157944:0.594042:0.102309:0.594042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Graficamos las restricciones:@0.157944:0.609620:0.341329:0.609620:0.341329:0.594721:0.157944:0.594721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.184999:0.609620:0.188668:0.609620:0.188668:0.594721:0.184999:0.594721:0.000000
del problema y determinamos los vértices:@0.102309:0.624708:0.382354:0.624708:0.382354:0.609809:0.102309:0.609809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la región factible.:@0.102309:0.639795:0.236963:0.639795:0.236963:0.624896:0.102309:0.624896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los vértices de la región factible son:@0.102309:0.662012:0.343222:0.662012:0.343222:0.647113:0.102309:0.647113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los puntos::@0.102309:0.677099:0.174962:0.677099:0.174962:0.662200:0.102309:0.662200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.102309:0.699316:0.111305:0.699316:0.111305:0.684442:0.102309:0.684442:0.000000
 (4, 2);   (0, 10);   (14, 0):@0.111305:0.699316:0.264321:0.699316:0.264321:0.684417:0.111305:0.684417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.153370:0.699316:0.161411:0.699316:0.161411:0.684442:0.153370:0.684442:0.000000
C:@0.211652:0.699316:0.220665:0.699316:0.220665:0.684442:0.211652:0.684442:0.000000
Paso 5. :@0.102309:0.762872:0.157944:0.762872:0.157944:0.747294:0.102309:0.747294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos la solución, para ello reemplazamos cada punto en la función :@0.157944:0.762872:0.673055:0.762872:0.673055:0.747973:0.157944:0.747973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
objetivo.  ( ,  ) = 15  + 30:@0.102309:0.777960:0.274004:0.777960:0.274004:0.763061:0.102309:0.763061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F x y:@0.163505:0.777960:0.195435:0.777960:0.195435:0.763086:0.163505:0.763086:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.233547:0.777960:0.240332:0.777960:0.240332:0.763086:0.233547:0.763086:0.000000
y:@0.274004:0.777960:0.280806:0.777960:0.280806:0.763086:0.274004:0.763086:0.000000
F:@0.102309:0.800177:0.109630:0.800177:0.109630:0.785303:0.102309:0.785303:0.000000
(4, 2) = 15(4) + 30(2) = 120:@0.109462:0.800177:0.280052:0.800177:0.280052:0.785278:0.109462:0.785278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.102309:0.822393:0.109630:0.822393:0.109630:0.807519:0.102309:0.807519:0.000000
(0, 10) = 15(0) + 30(10) = 300:@0.109462:0.822393:0.296067:0.822393:0.296067:0.807494:0.109462:0.807494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.102309:0.844610:0.109630:0.844610:0.109630:0.829736:0.102309:0.829736:0.000000
(14, 0) = 15(14) + 30(0) = 210:@0.109462:0.844610:0.296067:0.844610:0.296067:0.829711:0.109462:0.829711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El valor mínimo de la función está en el vértice (4, 2):@0.102309:0.866826:0.447722:0.866826:0.447722:0.851927:0.102309:0.851927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 6. :@0.102309:0.884805:0.157944:0.884805:0.157944:0.869227:0.102309:0.869227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interpretamos la solución del problema.:@0.157944:0.884805:0.423935:0.884805:0.423935:0.869906:0.157944:0.869906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para que el costo sea mínimo, el ganadero debe comprar 4 kg del compuesto  1, y 2 kg :@0.102309:0.907022:0.687428:0.907022:0.687428:0.892123:0.102309:0.892123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.622345:0.907022:0.629733:0.907022:0.629733:0.892148:0.622345:0.892148:0.000000
del compuesto  2.:@0.102309:0.922110:0.225521:0.922110:0.225521:0.907211:0.102309:0.907211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.207043:0.922110:0.214431:0.922110:0.214431:0.907236:0.207043:0.907236:0.000000
©Shutterstock:@0.942263:0.289618:0.942263:0.246793:0.930352:0.246793:0.930352:0.289618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.937237:0.811851:0.937237:0.769025:0.925326:0.769025:0.925326:0.811851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para las dietas de animales se :@0.740998:0.329175:0.919376:0.329175:0.919376:0.315766:0.740998:0.315766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emplea programación lineal.:@0.740998:0.341747:0.912347:0.341747:0.912347:0.328338:0.740998:0.328338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El problema dietético :@0.754293:0.526492:0.900774:0.526492:0.900774:0.511593:0.754293:0.511593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
implica seleccionar de :@0.754293:0.540323:0.906069:0.540323:0.906069:0.525424:0.754293:0.525424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manera eficiente una :@0.754293:0.554153:0.899048:0.554153:0.899048:0.539254:0.754293:0.539254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dieta a partir de un :@0.754293:0.567983:0.884725:0.567983:0.884725:0.553084:0.754293:0.553084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto definido de :@0.754293:0.581814:0.898983:0.581814:0.898983:0.566915:0.754293:0.566915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alimentos para cumplir :@0.754293:0.595644:0.911747:0.595644:0.911747:0.580745:0.754293:0.580745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con los requerimientos :@0.754293:0.609474:0.911479:0.609474:0.911479:0.594575:0.754293:0.594575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nutricionales. La variedad :@0.754293:0.623304:0.926841:0.623304:0.926841:0.608405:0.754293:0.608405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de alimentos disponibles, :@0.754293:0.637135:0.927660:0.637135:0.927660:0.622236:0.754293:0.622236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus perfiles nutricionales:@0.754293:0.650965:0.917692:0.650965:0.917692:0.636066:0.754293:0.636066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y sus costos permiten :@0.754293:0.664795:0.902431:0.664795:0.902431:0.649896:0.754293:0.649896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
generar diversas variantes :@0.754293:0.678626:0.930139:0.678626:0.930139:0.663727:0.754293:0.663727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de estos modelos.:@0.754293:0.692456:0.874791:0.692456:0.874791:0.677557:0.754293:0.677557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Consideras  que en nuestro :@0.754293:0.840415:0.932216:0.840415:0.932216:0.825541:0.754293:0.825541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
país se realiza un análisis :@0.754293:0.854245:0.914946:0.854245:0.914946:0.839372:0.754293:0.839372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nutricional adecuado:@0.754293:0.868076:0.891461:0.868076:0.891461:0.853202:0.754293:0.853202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en dietas para mujeres :@0.754293:0.881906:0.899583:0.881906:0.899583:0.867032:0.754293:0.867032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
embarazadas?:@0.754293:0.895736:0.847903:0.895736:0.847903:0.880863:0.754293:0.880863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desarrollo:@0.800494:0.487136:0.878729:0.487136:0.878729:0.470236:0.800494:0.470236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sostenible:@0.799024:0.500967:0.876839:0.500967:0.876839:0.484066:0.799024:0.484066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.541551:0.560712:0.548335:0.560712:0.548335:0.545838:0.541551:0.545838:0.000000
 + 5  ≥ 14:@0.548335:0.560712:0.614306:0.560712:0.614306:0.545813:0.548335:0.545813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.573832:0.560712:0.580634:0.560712:0.580634:0.545838:0.573832:0.545838:0.000000
2  +   ≥ 10:@0.541551:0.575800:0.614306:0.575800:0.614306:0.560901:0.541551:0.560901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.549726:0.575800:0.556510:0.575800:0.556510:0.560926:0.549726:0.560926:0.000000
y:@0.573832:0.575800:0.580634:0.575800:0.580634:0.560926:0.573832:0.560926:0.000000
x:@0.541551:0.590887:0.548335:0.590887:0.548335:0.576014:0.541551:0.576014:0.000000
 ≥ 0;   ≥ 0:@0.548335:0.590887:0.612715:0.590887:0.612715:0.575988:0.548335:0.575988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.580416:0.590887:0.587218:0.590887:0.587218:0.576014:0.580416:0.576014:0.000000
Compuesto:@0.120193:0.359250:0.203618:0.359250:0.203618:0.343886:0.120193:0.343886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Variable ( ):@0.241932:0.359250:0.324069:0.359250:0.324069:0.343886:0.241932:0.343886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.309897:0.359250:0.319027:0.359250:0.319027:0.343886:0.309897:0.343886:0.000000
Sustancia :@0.362617:0.359250:0.435590:0.359250:0.435590:0.343886:0.362617:0.343886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.435590:0.359250:0.445574:0.359250:0.445574:0.343886:0.435590:0.343886:0.000000
Sustancia :@0.484071:0.359250:0.557045:0.359250:0.557045:0.343886:0.484071:0.343886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.557045:0.359250:0.566309:0.359250:0.566309:0.343886:0.557045:0.343886:0.000000
Costo $ por kg:@0.594352:0.359250:0.698199:0.359250:0.698199:0.343886:0.594352:0.343886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.108483:0.384195:0.115870:0.384195:0.115870:0.369321:0.108483:0.369321:0.000000
1:@0.115870:0.384195:0.124046:0.384195:0.124046:0.369296:0.115870:0.369296:0.000000
x:@0.280798:0.384195:0.287583:0.384195:0.287583:0.369321:0.280798:0.369321:0.000000
x:@0.401884:0.384195:0.408669:0.384195:0.408669:0.369321:0.401884:0.369321:0.000000
2:@0.518883:0.384195:0.527058:0.384195:0.527058:0.369296:0.518883:0.369296:0.000000
x:@0.527058:0.384195:0.533843:0.384195:0.533843:0.369321:0.527058:0.369321:0.000000
15:@0.638093:0.384195:0.654443:0.384195:0.654443:0.369296:0.638093:0.369296:0.000000:0.000000
T:@0.108483:0.409140:0.115870:0.409140:0.115870:0.394266:0.108483:0.394266:0.000000
2:@0.115870:0.409140:0.124046:0.409140:0.124046:0.394241:0.115870:0.394241:0.000000
y:@0.280781:0.409140:0.287583:0.409140:0.287583:0.394266:0.280781:0.394266:0.000000
5:@0.397780:0.409140:0.405955:0.409140:0.405955:0.394241:0.397780:0.394241:0.000000
y:@0.405955:0.409140:0.412756:0.409140:0.412756:0.394266:0.405955:0.394266:0.000000
y:@0.521480:0.409140:0.528851:0.409140:0.528851:0.394241:0.521480:0.394241:0.000000
30:@0.638076:0.409140:0.654427:0.409140:0.654427:0.394241:0.638076:0.394241:0.000000:0.000000
Requerimientos:@0.170668:0.434084:0.276558:0.434084:0.276558:0.419185:0.170668:0.419185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
14:@0.397076:0.434084:0.413427:0.434084:0.413427:0.419185:0.397076:0.419185:0.000000:0.000000
10:@0.516973:0.434084:0.533323:0.434084:0.533323:0.419185:0.516973:0.419185:0.000000:0.000000
4:@0.431000:0.692643:0.437875:0.692643:0.437875:0.680553:0.431000:0.680553:0.000000
8:@0.431000:0.657157:0.437875:0.657157:0.437875:0.645067:0.431000:0.645067:0.000000
12:@0.424125:0.621732:0.437875:0.621732:0.437875:0.609641:0.424125:0.609641:0.000000:0.000000
2:@0.431000:0.710286:0.437875:0.710286:0.437875:0.698196:0.431000:0.698196:0.000000
6:@0.431000:0.674800:0.437875:0.674800:0.437875:0.662710:0.431000:0.662710:0.000000
10:@0.424125:0.639374:0.437875:0.639374:0.437875:0.627284:0.424125:0.627284:0.000000:0.000000
4:@0.487006:0.735291:0.493882:0.735291:0.493882:0.723201:0.487006:0.723201:0.000000
8 10:@0.535106:0.735291:0.568986:0.735291:0.568986:0.723201:0.535106:0.723201:0.000000:0.000000:0.000000:0.000000
12 14:@0.579024:0.735291:0.616523:0.735291:0.616523:0.723201:0.579024:0.723201:0.000000:0.000000:0.000000:0.000000:0.000000
16 18:@0.626561:0.735291:0.663309:0.735291:0.663309:0.723201:0.626561:0.723201:0.000000:0.000000:0.000000:0.000000:0.000000
20:@0.673347:0.735291:0.687097:0.735291:0.687097:0.723201:0.673347:0.723201:0.000000:0.000000
2:@0.463205:0.735291:0.470080:0.735291:0.470080:0.723201:0.463205:0.723201:0.000000
6:@0.510835:0.735291:0.517710:0.735291:0.517710:0.723201:0.510835:0.723201:0.000000
0:@0.431978:0.735291:0.438853:0.735291:0.438853:0.723201:0.431978:0.723201:0.000000
y:@0.431430:0.606431:0.436602:0.606431:0.436602:0.595844:0.431430:0.595844:0.000000
x:@0.697016:0.734488:0.702188:0.734488:0.702188:0.723900:0.697016:0.723900:0.000000
A:@0.497249:0.704864:0.505345:0.704864:0.505345:0.691478:0.497249:0.691478:0.000000
B:@0.450404:0.633711:0.457641:0.633711:0.457641:0.620325:0.450404:0.620325:0.000000
C :@0.606136:0.718828:0.616961:0.718828:0.616961:0.705441:0.606136:0.705441:0.000000:0.000000