166:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ó:@0.072616:0.090484:0.372170:0.090484:0.372170:0.064352:0.072616:0.064352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.773786:0.079446:0.817429:0.079446:0.817429:0.059195:0.773786:0.059195:0.000000:0.000000:0.000000
Acción y expresión:@0.721188:0.093905:0.870026:0.093905:0.870026:0.077005:0.721188:0.077005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.072616:0.144957:0.086842:0.144957:0.086842:0.128056:0.072616:0.128056:0.000000:0.000000
  En una granja de pollos se da una dieta de en-:@0.086842:0.144957:0.439622:0.144957:0.439622:0.128568:0.086842:0.128568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gorde que contiene mínimo 15 unidades de una :@0.101105:0.161553:0.461605:0.161553:0.461605:0.145164:0.101105:0.145164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sustancia A y otras 15 de una sustancia B.:@0.101105:0.178149:0.401543:0.178149:0.401543:0.161761:0.101105:0.161761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.072616:0.201868:0.076651:0.201868:0.076651:0.185480:0.072616:0.185480:0.000000
En el mercado solo se encuentran dos clases de :@0.101108:0.201868:0.477898:0.201868:0.477898:0.185480:0.101108:0.185480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compuestos: el tipo X con una composición de una :@0.101105:0.218465:0.477966:0.218465:0.477966:0.202076:0.101105:0.202076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unidad de A y 5 de B, y el otro tipo, Y, con una com-:@0.101105:0.235061:0.473809:0.235061:0.473809:0.218672:0.101105:0.218672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posición de 5 unidades de A y una de B. El precio :@0.101105:0.251658:0.477876:0.251658:0.477876:0.235269:0.101105:0.235269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del tipo X es de $10 y del tipo Y es de $30. ¿Qué :@0.101105:0.268254:0.477913:0.268254:0.477913:0.251865:0.101105:0.251865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cantidades se han de comprar de cada tipo para :@0.101105:0.284850:0.477895:0.284850:0.477895:0.268461:0.101105:0.268461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cubrir las necesidades con un costo mínimo?:@0.101105:0.301447:0.430849:0.301447:0.430849:0.285058:0.101105:0.285058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Completa:@0.101105:0.325166:0.178519:0.325166:0.178519:0.308265:0.101105:0.308265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cada literal con los pasos por seguir.:@0.178519:0.325166:0.444998:0.325166:0.444998:0.308777:0.178519:0.308777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  Elige:@0.101105:0.352453:0.168605:0.352453:0.168605:0.335552:0.101105:0.335552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las incógnitas y :@0.168605:0.352453:0.288291:0.352453:0.288291:0.336064:0.168605:0.336064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
completa:@0.288291:0.352453:0.363273:0.352453:0.363273:0.335552:0.288291:0.335552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla.:@0.363273:0.352453:0.423329:0.352453:0.423329:0.336064:0.363273:0.336064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Compuesto 1:@0.160269:0.377639:0.256143:0.377639:0.256143:0.362275:0.160269:0.362275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Compuesto 2:@0.160269:0.399026:0.256143:0.399026:0.256143:0.383662:0.160269:0.383662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) Escribe:@0.101108:0.429227:0.186667:0.429227:0.186667:0.412327:0.101108:0.412327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función objetivo.:@0.186667:0.429227:0.330567:0.429227:0.330567:0.412839:0.186667:0.412839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) Escribe:@0.101108:0.520499:0.186667:0.520499:0.186667:0.503598:0.101108:0.503598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las restricciones y :@0.186667:0.520499:0.322000:0.520499:0.322000:0.504110:0.186667:0.504110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llena:@0.322000:0.520499:0.360882:0.520499:0.360882:0.503598:0.322000:0.503598:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla.:@0.360882:0.520499:0.420938:0.520499:0.420938:0.504110:0.360882:0.504110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.301601:0.545674:0.309508:0.545674:0.309508:0.530309:0.301601:0.530309:0.000000
y:@0.368091:0.545674:0.375998:0.545674:0.375998:0.530309:0.368091:0.530309:0.000000
Mínimo:@0.411580:0.545674:0.465490:0.545674:0.465490:0.530309:0.411580:0.530309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.196111:0.567060:0.206096:0.567060:0.206096:0.551696:0.196111:0.551696:0.000000
B:@0.196463:0.588447:0.205727:0.588447:0.205727:0.573083:0.196463:0.573083:0.000000
d) Grafica encuentra:@0.101108:0.679066:0.282786:0.679066:0.282786:0.662165:0.101108:0.662165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.162831:0.679066:0.166646:0.679066:0.166646:0.662165:0.162831:0.662165:0.000000
 y :@0.185617:0.679066:0.201797:0.679066:0.201797:0.662677:0.185617:0.662677:0.000000:0.000000:0.000000
 el valor de los vértices.:@0.282786:0.679066:0.450824:0.679066:0.450824:0.662677:0.282786:0.662677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) Reemplaza:@0.530866:0.145223:0.647071:0.145223:0.647071:0.128323:0.530866:0.128323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en la función objetivo y :@0.647071:0.145223:0.828415:0.145223:0.828415:0.128834:0.647071:0.128834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
completa:@0.828673:0.145223:0.903655:0.145223:0.903655:0.128323:0.828673:0.128323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la tabla de valores.:@0.559355:0.161820:0.693654:0.161820:0.693654:0.145431:0.559355:0.145431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.590801:0.186995:0.599797:0.186995:0.599797:0.172121:0.590801:0.172121:0.000000
 = (                    ):@0.599797:0.186995:0.699373:0.186995:0.699373:0.172096:0.599797:0.172096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U :@0.766182:0.186995:0.779249:0.186995:0.779249:0.172121:0.766182:0.172121:0.000000:0.000000
= :@0.779249:0.186995:0.792902:0.186995:0.792902:0.172096:0.779249:0.172096:0.000000:0.000000
B :@0.591605:0.208381:0.602662:0.208381:0.602662:0.193507:0.591605:0.193507:0.000000:0.000000
= (                    ):@0.602662:0.208381:0.698569:0.208381:0.698569:0.193482:0.602662:0.193482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U :@0.766182:0.208381:0.779249:0.208381:0.779249:0.193507:0.766182:0.193507:0.000000:0.000000
=:@0.779249:0.208381:0.789233:0.208381:0.789233:0.193482:0.779249:0.193482:0.000000
C :@0.591119:0.229768:0.603147:0.229768:0.603147:0.214894:0.591119:0.214894:0.000000:0.000000
= (                    ):@0.603147:0.229768:0.699055:0.229768:0.699055:0.214869:0.603147:0.214869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U :@0.766182:0.229768:0.779249:0.229768:0.779249:0.214894:0.766182:0.214894:0.000000:0.000000
=:@0.779249:0.229768:0.789233:0.229768:0.789233:0.214869:0.779249:0.214869:0.000000
f):@0.530866:0.259967:0.543876:0.259967:0.543876:0.243066:0.530866:0.243066:0.000000:0.000000
  ¿Con qué cantidades se obtiene el costo mínimo?:@0.543876:0.259967:0.903624:0.259967:0.903624:0.243578:0.543876:0.243578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________________________________________:@0.559362:0.282284:0.897961:0.282284:0.897961:0.267385:0.559362:0.267385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________________________________________:@0.559362:0.304916:0.897961:0.304916:0.897961:0.290017:0.559362:0.290017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.502373:0.336083:0.516600:0.336083:0.516600:0.319182:0.502373:0.319182:0.000000:0.000000
  Se dispone de un determinado fármaco en una can-:@0.516600:0.336083:0.903676:0.336083:0.903676:0.319694:0.516600:0.319694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tidad de 600 g para elaborar pastillas grandes y pe-:@0.530863:0.352679:0.903690:0.352679:0.903690:0.336290:0.530863:0.336290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
queñas. Las grandes pesan 40 g y las pequeñas 30 g. :@0.530863:0.369276:0.907673:0.369276:0.907673:0.352887:0.530863:0.352887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se necesitan al menos tres pastillas grandes y el doble :@0.530863:0.385872:0.907671:0.385872:0.907671:0.369483:0.530863:0.369483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de pequeñas que de las grandes. Cada pastilla grande :@0.530863:0.402468:0.907614:0.402468:0.907614:0.386079:0.530863:0.386079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporciona un beneficio de $2 y la pequeña de $1. :@0.530863:0.419065:0.899526:0.419065:0.899526:0.402676:0.530863:0.402676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.685765:0.419065:0.689801:0.419065:0.689801:0.402676:0.685765:0.402676:0.000000
 :@0.502373:0.442784:0.506409:0.442784:0.506409:0.426395:0.502373:0.426395:0.000000
¿Cuántas pastillas se han de elaborar de cada clase :@0.530866:0.442784:0.907619:0.442784:0.907619:0.426395:0.530866:0.426395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para que el beneficio sea máximo?:@0.530863:0.459380:0.784958:0.459380:0.784958:0.442991:0.530863:0.442991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.659246:0.459380:0.663282:0.459380:0.663282:0.442991:0.659246:0.442991:0.000000
Llena:@0.530863:0.483099:0.574094:0.483099:0.574094:0.466198:0.530863:0.466198:0.000000:0.000000:0.000000:0.000000:0.000000
 cada literal con los pasos por seguir.:@0.574094:0.483099:0.840570:0.483099:0.840570:0.466710:0.574094:0.466710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  Elige:@0.530863:0.510386:0.598363:0.510386:0.598363:0.493486:0.530863:0.493486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las incógnitas. :@0.598363:0.510386:0.708909:0.510386:0.708909:0.493997:0.598363:0.493997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Llena:@0.708909:0.510386:0.752140:0.510386:0.752140:0.493486:0.708909:0.493486:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla.:@0.752140:0.510386:0.812195:0.510386:0.812195:0.493997:0.752140:0.493997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.574652:0.535574:0.582559:0.535574:0.582559:0.520210:0.574652:0.520210:0.000000
y:@0.574652:0.556960:0.582559:0.556960:0.582559:0.541596:0.574652:0.541596:0.000000
b) Escribe:@0.530866:0.587162:0.616425:0.587162:0.616425:0.570261:0.530866:0.570261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función objetivo.:@0.616425:0.587162:0.760325:0.587162:0.760325:0.570773:0.616425:0.570773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) Escribe:@0.530866:0.657049:0.616425:0.657049:0.616425:0.640149:0.530866:0.640149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las restricciones.:@0.616425:0.657049:0.738580:0.657049:0.738580:0.640660:0.616425:0.640660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) Grafica encuentra:@0.530866:0.726936:0.712544:0.726936:0.712544:0.710036:0.530866:0.710036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.592589:0.726936:0.596404:0.726936:0.596404:0.710036:0.592589:0.710036:0.000000
 y :@0.615375:0.726936:0.631554:0.726936:0.631554:0.710547:0.615375:0.710547:0.000000:0.000000:0.000000
 el valor de los vértices.:@0.712544:0.726936:0.880582:0.726936:0.880582:0.710547:0.712544:0.710547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.143480:0.799687:0.150355:0.799687:0.150355:0.787597:0.143480:0.787597:0.000000
10:@0.136605:0.764201:0.150355:0.764201:0.150355:0.752111:0.136605:0.752111:0.000000:0.000000
15:@0.136605:0.728776:0.150355:0.728776:0.150355:0.716685:0.136605:0.716685:0.000000:0.000000
5:@0.199487:0.842325:0.206362:0.842325:0.206362:0.830235:0.199487:0.830235:0.000000
10:@0.243646:0.842325:0.257396:0.842325:0.257396:0.830235:0.243646:0.830235:0.000000:0.000000
15:@0.291518:0.842325:0.305268:0.842325:0.305268:0.830235:0.291518:0.830235:0.000000:0.000000
20:@0.339054:0.842325:0.352805:0.842325:0.352805:0.830235:0.339054:0.830235:0.000000:0.000000
25:@0.385840:0.842325:0.399591:0.842325:0.399591:0.830235:0.385840:0.830235:0.000000:0.000000
0:@0.144458:0.842325:0.151334:0.842325:0.151334:0.830235:0.144458:0.830235:0.000000
y:@0.143909:0.695557:0.149080:0.695557:0.149080:0.684969:0.143909:0.684969:0.000000
x:@0.456953:0.841532:0.462124:0.841532:0.462124:0.830944:0.456953:0.830944:0.000000
30:@0.433496:0.842323:0.447246:0.842323:0.447246:0.830232:0.433496:0.830232:0.000000:0.000000
4:@0.621113:0.864959:0.628079:0.864959:0.628079:0.852710:0.621113:0.852710:0.000000
8:@0.621113:0.829005:0.628079:0.829005:0.628079:0.816756:0.621113:0.816756:0.000000
12:@0.614147:0.793113:0.628079:0.793113:0.628079:0.780863:0.614147:0.780863:0.000000:0.000000
14:@0.614147:0.775074:0.628079:0.775074:0.628079:0.762825:0.614147:0.762825:0.000000:0.000000
16:@0.614147:0.756374:0.628079:0.756374:0.628079:0.744124:0.614147:0.744124:0.000000:0.000000
2:@0.621113:0.882987:0.628079:0.882987:0.628079:0.870738:0.621113:0.870738:0.000000
6:@0.621113:0.847033:0.628079:0.847033:0.628079:0.834784:0.621113:0.834784:0.000000
10:@0.614147:0.811140:0.628079:0.811140:0.628079:0.798891:0.614147:0.798891:0.000000:0.000000
4:@0.677858:0.908170:0.684824:0.908170:0.684824:0.895920:0.677858:0.895920:0.000000
6:@0.701580:0.908170:0.708546:0.908170:0.708546:0.895920:0.701580:0.895920:0.000000
8:@0.725302:0.908170:0.732268:0.908170:0.732268:0.895920:0.725302:0.895920:0.000000
10 12 14 16 18:@0.747258:0.908170:0.856607:0.908170:0.856607:0.895920:0.747258:0.895920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.653878:0.908170:0.660844:0.908170:0.660844:0.895920:0.653878:0.895920:0.000000
–2 0:@0.601587:0.908170:0.629070:0.908170:0.629070:0.895920:0.601587:0.895920:0.000000:0.000000:0.000000:0.000000
–4:@0.576493:0.908170:0.590248:0.908170:0.590248:0.895920:0.576493:0.895920:0.000000:0.000000
y:@0.621547:0.742795:0.626786:0.742795:0.626786:0.732067:0.621547:0.732067:0.000000
x:@0.890599:0.907361:0.895838:0.907361:0.895838:0.896633:0.890599:0.896633:0.000000
Ref.I.M.5.7.1.:@0.064305:0.113356:0.127616:0.113356:0.127616:0.101437:0.064305:0.101437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.376957:0.377151:0.384420:0.377151:0.384420:0.360790:0.376957:0.360790:0.000000
y:@0.376938:0.398519:0.384420:0.398519:0.384420:0.382158:0.376938:0.382158:0.000000
U:@0.145026:0.460368:0.156083:0.460368:0.156083:0.444007:0.145026:0.444007:0.000000
 = 10  + 30:@0.156083:0.460368:0.237625:0.460368:0.237625:0.443979:0.156083:0.443979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.193122:0.460368:0.200586:0.460368:0.200586:0.444007:0.193122:0.444007:0.000000
y:@0.237625:0.460368:0.245107:0.460368:0.245107:0.444007:0.237625:0.444007:0.000000
1:@0.301809:0.567470:0.310801:0.567470:0.310801:0.551081:0.301809:0.551081:0.000000
5:@0.368296:0.567470:0.377288:0.567470:0.377288:0.551081:0.368296:0.551081:0.000000
15:@0.430286:0.567470:0.448272:0.567470:0.448272:0.551081:0.430286:0.551081:0.000000:0.000000
5:@0.301827:0.588852:0.310820:0.588852:0.310820:0.572463:0.301827:0.572463:0.000000
1:@0.368314:0.588852:0.377307:0.588852:0.377307:0.572463:0.368314:0.572463:0.000000
15:@0.430305:0.588852:0.448290:0.588852:0.448290:0.572463:0.430305:0.572463:0.000000:0.000000
x:@0.143865:0.617190:0.151329:0.617190:0.151329:0.600829:0.143865:0.600829:0.000000
 + 5  ≥ 15;    ≥ 0;  5  +   ≥ 15;    ≥ 0:@0.151329:0.617190:0.408800:0.617190:0.408800:0.600801:0.151329:0.600801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.179375:0.617190:0.186857:0.617190:0.186857:0.600829:0.179375:0.600829:0.000000
x:@0.235174:0.617190:0.242638:0.617190:0.242638:0.600829:0.235174:0.600829:0.000000
x:@0.290955:0.617190:0.298418:0.617190:0.298418:0.600829:0.290955:0.600829:0.000000
y:@0.317472:0.617190:0.324954:0.617190:0.324954:0.600829:0.317472:0.600829:0.000000
y:@0.373271:0.617190:0.380753:0.617190:0.380753:0.600829:0.373271:0.600829:0.000000
450:@0.796296:0.187123:0.823274:0.187123:0.823274:0.170734:0.796296:0.170734:0.000000:0.000000:0.000000
100:@0.796296:0.208491:0.823274:0.208491:0.823274:0.192102:0.796296:0.192102:0.000000:0.000000:0.000000
150:@0.796296:0.229859:0.823274:0.229859:0.823274:0.213470:0.796296:0.213470:0.000000:0.000000:0.000000
0, 15:@0.629120:0.187482:0.663340:0.187482:0.663340:0.171094:0.629120:0.171094:0.000000:0.000000:0.000000:0.000000:0.000000
5/2, 5/2:@0.629120:0.209044:0.685269:0.209044:0.685269:0.192655:0.629120:0.192655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15, 0:@0.629120:0.230246:0.663340:0.230246:0.663340:0.213857:0.629120:0.213857:0.000000:0.000000:0.000000:0.000000:0.000000
El costo mínimo de $1 000 se obtiene :@0.566264:0.283949:0.845848:0.283949:0.845848:0.267560:0.566264:0.267560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al comprar  5/2 de   y 5/2 de  .:@0.566264:0.305317:0.790473:0.305317:0.790473:0.288928:0.566264:0.288928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.704655:0.305317:0.712118:0.305317:0.712118:0.288955:0.704655:0.288955:0.000000
y:@0.779785:0.305317:0.787266:0.305317:0.787266:0.288955:0.779785:0.288955:0.000000
# pastillas grandes:@0.611024:0.536324:0.745065:0.536324:0.745065:0.519935:0.611024:0.519935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
# pastillas pequeñas:@0.611024:0.557692:0.758611:0.557692:0.758611:0.541303:0.611024:0.541303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.582535:0.614576:0.593592:0.614576:0.593592:0.598215:0.582535:0.598215:0.000000
 = 2  + :@0.593592:0.614576:0.648156:0.614576:0.648156:0.598187:0.593592:0.598187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.621639:0.614576:0.629102:0.614576:0.629102:0.598215:0.621639:0.598215:0.000000
y:@0.648156:0.614576:0.655638:0.614576:0.655638:0.598215:0.648156:0.598215:0.000000
40  + 30  ≤ 600;    ≥ 3;    ≥ 2:@0.571423:0.681805:0.781019:0.681805:0.781019:0.665416:0.571423:0.665416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.589409:0.681805:0.596872:0.681805:0.596872:0.665444:0.589409:0.665444:0.000000
y:@0.633912:0.681805:0.641393:0.681805:0.641393:0.665444:0.633912:0.665444:0.000000
x:@0.698703:0.681805:0.706166:0.681805:0.706166:0.665444:0.698703:0.665444:0.000000
y:@0.745491:0.681805:0.752973:0.681805:0.752973:0.665444:0.745491:0.665444:0.000000
x:@0.781019:0.681805:0.788483:0.681805:0.788483:0.665444:0.781019:0.665444:0.000000
x:@0.571423:0.700670:0.578887:0.700670:0.578887:0.684309:0.571423:0.684309:0.000000
 ≥ 0;    ≥ 0:@0.578887:0.700670:0.653740:0.700670:0.653740:0.684281:0.578887:0.684281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.618211:0.700670:0.625693:0.700670:0.625693:0.684309:0.618211:0.684309:0.000000
B:@0.166793:0.828180:0.175253:0.828180:0.175253:0.813281:0.166793:0.813281:0.000000
C:@0.279185:0.844387:0.288733:0.844387:0.288733:0.829488:0.279185:0.829488:0.000000
A:@0.141949:0.741389:0.151749:0.741389:0.151749:0.726490:0.141949:0.726490:0.000000
20:@0.339054:0.842325:0.352805:0.842325:0.352805:0.830235:0.339054:0.830235:0.000000:0.000000
20:@0.339054:0.842325:0.352805:0.842325:0.352805:0.830235:0.339054:0.830235:0.000000:0.000000
20:@0.339054:0.842325:0.352805:0.842325:0.352805:0.830235:0.339054:0.830235:0.000000:0.000000
25:@0.385840:0.842325:0.399591:0.842325:0.399591:0.830235:0.385840:0.830235:0.000000:0.000000
25:@0.385840:0.842325:0.399591:0.842325:0.399591:0.830235:0.385840:0.830235:0.000000:0.000000
25:@0.385840:0.842325:0.399591:0.842325:0.399591:0.830235:0.385840:0.830235:0.000000:0.000000
25:@0.385840:0.842325:0.399591:0.842325:0.399591:0.830235:0.385840:0.830235:0.000000:0.000000
y:@0.143909:0.695557:0.149080:0.695557:0.149080:0.684969:0.143909:0.684969:0.000000
A:@0.149481:0.884433:0.159376:0.884433:0.159376:0.868072:0.149481:0.868072:0.000000
 = (0, 15),    = (5/2, 5/2),    = (15, 0):@0.159376:0.884433:0.411743:0.884433:0.411743:0.868044:0.159376:0.868044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.233695:0.884433:0.242540:0.884433:0.242540:0.868072:0.233695:0.868072:0.000000
C:@0.338788:0.884433:0.348702:0.884433:0.348702:0.868072:0.338788:0.868072:0.000000
B:@0.713764:0.793601:0.722223:0.793601:0.722223:0.778702:0.713764:0.778702:0.000000
C:@0.678248:0.846307:0.687797:0.846307:0.687797:0.831408:0.678248:0.831408:0.000000
A:@0.654376:0.758371:0.664176:0.758371:0.664176:0.743472:0.654376:0.743472:0.000000
A = (3, 16),  B = (6, 12), :@0.753581:0.771961:0.904905:0.771961:0.904905:0.757062:0.753581:0.757062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.901236:0.771961:0.904905:0.771961:0.904905:0.757062:0.901236:0.757062:0.000000
C = (3, 6):@0.753581:0.789564:0.812264:0.789564:0.812264:0.774665:0.753581:0.774665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000