147:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
Competencia :@0.684804:0.495886:0.782426:0.495886:0.782426:0.480414:0.684804:0.480414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684804:0.508454:0.796762:0.508454:0.796762:0.492982:0.684804:0.492982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La aplicación de las ecua-:@0.678232:0.532929:0.842308:0.532929:0.842308:0.517866:0.678232:0.517866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones lineales con dos incóg-:@0.638496:0.548771:0.830874:0.548771:0.830874:0.533708:0.638496:0.533708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nitas es múltiple. Por ejemplo, :@0.638496:0.564613:0.835766:0.564613:0.835766:0.549550:0.638496:0.549550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el campo de la industria, las :@0.638496:0.580455:0.840584:0.580455:0.840584:0.565392:0.638496:0.565392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales se utilizan :@0.638496:0.596297:0.832793:0.596297:0.832793:0.581234:0.638496:0.581234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para determinar el número :@0.638496:0.612139:0.816927:0.612139:0.816927:0.597076:0.638496:0.597076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de productos a fin de obtener :@0.638496:0.627981:0.836998:0.627981:0.836998:0.612918:0.638496:0.612918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor rentabilidad o para de-:@0.638496:0.643823:0.831719:0.643823:0.831719:0.628760:0.638496:0.628760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terminar los tiempos mínimos :@0.638496:0.659665:0.838440:0.659665:0.838440:0.644602:0.638496:0.644602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o máximos en la producción de :@0.638496:0.675507:0.848202:0.675507:0.848202:0.660444:0.638496:0.660444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciertos artículos.:@0.638496:0.691349:0.743436:0.691349:0.743436:0.676286:0.638496:0.676286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.638503:0.863523:0.705293:0.863523:0.705293:0.848262:0.638503:0.848262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con tus palabras: :@0.705293:0.863325:0.821264:0.863325:0.821264:0.848262:0.705293:0.848262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿qué es una ecuación lineal con :@0.638503:0.879167:0.845870:0.879167:0.845870:0.864104:0.638503:0.864104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos incógnitas?:@0.638503:0.895009:0.737586:0.895009:0.737586:0.879946:0.638503:0.879946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nota que  ,   son soluciones de la ecuación. En efecto, :@0.108233:0.096194:0.506111:0.096194:0.506111:0.079697:0.108233:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.180033:0.096310:0.211088:0.096310:0.211088:0.079841:0.180033:0.079841:0.000000:0.000000:0.000000
2  + 3  = 2(5 – 3 ) + 3(2 ) = 10        .:@0.205426:0.120673:0.498565:0.120674:0.498565:0.104176:0.205426:0.104176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.213922:0.120789:0.228718:0.120789:0.228718:0.104320:0.213922:0.104320:0.000000
n:@0.256306:0.120789:0.265669:0.120789:0.265669:0.104320:0.256306:0.104320:0.000000
j:@0.334985:0.120789:0.338838:0.120789:0.338838:0.104320:0.334985:0.104320:0.000000
j:@0.386828:0.120789:0.390681:0.120789:0.390681:0.104320:0.386828:0.104320:0.000000
∀:@0.445149:0.128260:0.456721:0.128260:0.456721:0.109261:0.445149:0.109261:0.000000
j:@0.456730:0.120790:0.460583:0.120790:0.460583:0.104321:0.456730:0.104321:0.000000
:@0.464724:0.120155:0.479377:0.120155:0.479377:0.106782:0.464724:0.106782:0.000000
Z:@0.483519:0.119587:0.495810:0.119587:0.495810:0.106725:0.483519:0.106725:0.000000
Ahora, nos interesamos en las soluciones positivas, es decir, en :@0.108231:0.155375:0.552712:0.155375:0.552712:0.138878:0.108231:0.138878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.108231:0.172842:0.139287:0.172842:0.139287:0.156373:0.108231:0.156373:0.000000:0.000000:0.000000
,      , tales que 2  + 3  = 10.:@0.123027:0.172726:0.354550:0.172726:0.354550:0.156228:0.123027:0.156228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.143430:0.172207:0.158082:0.172207:0.158082:0.158834:0.143430:0.158834:0.000000
Z:@0.162224:0.171639:0.174516:0.171639:0.174516:0.158777:0.162224:0.158777:0.000000
+:@0.174516:0.166373:0.180816:0.166373:0.180816:0.156755:0.174516:0.156755:0.000000
m:@0.263965:0.172842:0.278761:0.172842:0.278761:0.156373:0.263965:0.156373:0.000000
n:@0.306349:0.172842:0.315711:0.172842:0.315711:0.156373:0.306349:0.156373:0.000000
Primeramente, la recta   corta el eje   en el punto (5, 0) y al eje :@0.108225:0.207428:0.555021:0.207428:0.555021:0.190930:0.108225:0.190930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.272363:0.207543:0.280204:0.207543:0.280204:0.191075:0.272363:0.191075:0.000000
x:@0.365778:0.207543:0.373253:0.207543:0.373253:0.191075:0.365778:0.191075:0.000000
y:@0.555021:0.207543:0.562707:0.207543:0.562707:0.191075:0.555021:0.191075:0.000000
en   0,        . Luego,                        .  Para  ,       se deben verificar :@0.108225:0.239035:0.586401:0.239034:0.586401:0.222536:0.108225:0.222537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.381539:0.239151:0.412594:0.239151:0.412594:0.222682:0.381539:0.222682:0.000000:0.000000:0.000000
:@0.416742:0.238515:0.431394:0.238515:0.431394:0.225142:0.416742:0.225142:0.000000
Z:@0.435536:0.237947:0.447828:0.237947:0.447828:0.225085:0.435536:0.225085:0.000000
+:@0.447828:0.232682:0.454129:0.232682:0.454129:0.223064:0.447828:0.223064:0.000000
las desigualdades 1 ≤   ≤ 5, y 1 ≤   ≤ 3. Resulta así,:@0.108240:0.277292:0.470421:0.277292:0.470421:0.260794:0.108240:0.260794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.261298:0.277408:0.276094:0.277408:0.276094:0.260939:0.261298:0.260939:0.000000
n:@0.350130:0.277408:0.359493:0.277408:0.359493:0.260939:0.350130:0.260939:0.000000
1 ≤   ≤ 5   y 1 ≤ 5 – 3  ≤ 5   –4 ≤ –3  ≤ 0   0 ≤ 3  ≤ 4   :@0.108240:0.294643:0.549941:0.294650:0.549941:0.278153:0.108240:0.278145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.135828:0.294759:0.150623:0.294759:0.150623:0.278290:0.135828:0.278290:0.000000
⇔:@0.182346:0.294006:0.201547:0.294006:0.201547:0.277064:0.182346:0.277064:0.000000
j:@0.281016:0.294766:0.284869:0.294766:0.284869:0.278297:0.281016:0.278297:0.000000
⇔:@0.316598:0.294006:0.335799:0.294006:0.335799:0.277064:0.316598:0.277064:0.000000
j:@0.397024:0.294766:0.400877:0.294766:0.400877:0.278297:0.397024:0.278297:0.000000
⇔:@0.432605:0.294006:0.451806:0.294006:0.451806:0.277064:0.432605:0.277064:0.000000
j:@0.492032:0.294766:0.495885:0.294766:0.495885:0.278297:0.492032:0.278297:0.000000
⇒:@0.527614:0.294006:0.545802:0.294006:0.545802:0.277064:0.527614:0.277064:0.000000
Para   = 0,   = 5,   = 0 la solución no es positiva,   = 1,   = 2,   = 2 es :@0.108227:0.329352:0.599963:0.329352:0.599963:0.312854:0.108227:0.312854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.142577:0.329468:0.146430:0.329468:0.146430:0.312999:0.142577:0.312999:0.000000
m:@0.180501:0.329468:0.195296:0.329468:0.195296:0.312999:0.180501:0.312999:0.000000
n:@0.229367:0.329468:0.238730:0.329468:0.238730:0.312999:0.229367:0.312999:0.000000
j:@0.453981:0.329468:0.457834:0.329468:0.457834:0.312999:0.453981:0.312999:0.000000
m:@0.491904:0.329468:0.506700:0.329468:0.506700:0.312999:0.491904:0.312999:0.000000
n:@0.540771:0.329468:0.550134:0.329468:0.550134:0.312999:0.540771:0.312999:0.000000
la única solución positiva. (Ver figura 5.1).:@0.108246:0.346703:0.401327:0.346703:0.401327:0.330205:0.108246:0.330205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicaciones:@0.108233:0.382802:0.210273:0.382802:0.210273:0.365119:0.108233:0.365119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un terreno tiene 10 000 m  (una hectárea) y se divide en dos partes: :@0.108233:0.399509:0.599954:0.399509:0.599954:0.383012:0.108233:0.383012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.298433:0.393156:0.303386:0.393156:0.303386:0.383538:0.298433:0.383538:0.000000
una para producción de pastos, y otra para producción de verduras y :@0.108228:0.416860:0.599856:0.416860:0.599856:0.400362:0.108228:0.400362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hortalizas. Para el efecto, el terreno se divide en lotes de 200 m , desti-:@0.108228:0.434211:0.595772:0.434211:0.595772:0.417713:0.108228:0.417713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.545181:0.427858:0.550134:0.427858:0.550134:0.418240:0.545181:0.418240:0.000000
nados a verduras y hortalizas, y de 500 m  para pastizales. ¿Cuántos lo-:@0.108246:0.451562:0.595786:0.451562:0.595786:0.435064:0.108246:0.435064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.392883:0.445209:0.397836:0.445209:0.397836:0.435590:0.392883:0.435590:0.000000
tes para pastos y cuántos para verduras y hortalizas pueden obtenerse?:@0.108240:0.468912:0.595745:0.468912:0.595745:0.452415:0.108240:0.452415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Designamos con   el número de lotes para verduras y hortalizas (:@0.108240:0.503614:0.565027:0.503614:0.565027:0.487116:0.108240:0.487116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.229486:0.503729:0.236960:0.503729:0.236960:0.487261:0.229486:0.487261:0.000000
VH:@0.565027:0.503729:0.587105:0.503729:0.587105:0.487261:0.565027:0.487261:0.000000:0.000000
), :@0.587066:0.503614:0.599916:0.503614:0.599916:0.487116:0.587066:0.487116:0.000000:0.000000:0.000000
con lo que el área destinada a este propósito es 200 . Por su parte,   es :@0.108240:0.520965:0.599831:0.520965:0.599831:0.504467:0.108240:0.504467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.465822:0.521080:0.473297:0.521080:0.473297:0.504611:0.465822:0.504611:0.000000
y:@0.570124:0.521080:0.577811:0.521080:0.577811:0.504611:0.570124:0.504611:0.000000
el número de lotes para pastos ( ) y su área es 500 . Entonces:@0.108240:0.538315:0.543667:0.538315:0.543667:0.521818:0.108240:0.521818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.336223:0.538431:0.345008:0.538431:0.345008:0.521962:0.336223:0.521962:0.000000
y:@0.464084:0.538431:0.471771:0.538431:0.471771:0.521962:0.464084:0.521962:0.000000
200  + 500  = 10 000,:@0.275154:0.562794:0.428852:0.562794:0.428852:0.546297:0.275154:0.546297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.300642:0.562910:0.308117:0.562910:0.308117:0.546441:0.300642:0.546441:0.000000
y:@0.352697:0.562910:0.360383:0.562910:0.360383:0.546441:0.352697:0.546441:0.000000
y dividiendo por 100, resulta:@0.108240:0.592970:0.309097:0.592970:0.309097:0.576473:0.108240:0.576473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  + 5  = 100, de donde 5  = 100 – 2 .:@0.214989:0.617449:0.489016:0.617449:0.489016:0.600952:0.214989:0.600952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.223485:0.617565:0.230959:0.617565:0.230959:0.601096:0.223485:0.601096:0.000000
y:@0.258547:0.617565:0.266234:0.617565:0.266234:0.601096:0.258547:0.601096:0.000000
y:@0.399239:0.617565:0.406926:0.617565:0.406926:0.601096:0.399239:0.601096:0.000000
x:@0.478786:0.617565:0.486261:0.617565:0.486261:0.601096:0.478786:0.601096:0.000000
De esta igualdad, si      , el número entero 5 es múltiplo de 5, luego, :@0.108240:0.647625:0.599922:0.647624:0.599922:0.631126:0.108240:0.631127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.245948:0.647741:0.253635:0.647741:0.253635:0.631272:0.245948:0.631272:0.000000
:@0.257473:0.647105:0.272126:0.647105:0.272126:0.633732:0.257473:0.633732:0.000000
Z:@0.275978:0.646537:0.288269:0.646537:0.288269:0.633675:0.275978:0.633675:0.000000
el lado derecho de la igualdad precedente 100 – 2  = 2(50 –  ) debe :@0.108236:0.664975:0.599937:0.664975:0.599937:0.648477:0.108236:0.648477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.464408:0.665090:0.471883:0.665090:0.471883:0.648621:0.464408:0.648621:0.000000
x:@0.542432:0.665090:0.549907:0.665090:0.549907:0.648621:0.542432:0.648621:0.000000
ser divisible por 5, esto es,   = 5  con      . Así,:@0.108236:0.682325:0.438617:0.682325:0.438617:0.665828:0.108236:0.665828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.293525:0.682441:0.301000:0.682441:0.301000:0.665972:0.293525:0.665972:0.000000
j:@0.328588:0.682441:0.332441:0.682441:0.332441:0.665972:0.328588:0.665972:0.000000
j:@0.367677:0.682441:0.371530:0.682441:0.371530:0.665972:0.367677:0.665972:0.000000
:@0.375668:0.681807:0.390321:0.681807:0.390321:0.668433:0.375668:0.668433:0.000000
Z:@0.394461:0.681238:0.406752:0.681238:0.406752:0.668376:0.394461:0.668376:0.000000
5  = 100 – 2  = 100 – 2(5 ) = 10(10 –  ),:@0.210998:0.706804:0.493003:0.706804:0.493003:0.690307:0.210998:0.690307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.219494:0.706920:0.227181:0.706920:0.227181:0.690451:0.219494:0.690451:0.000000
x:@0.299040:0.706920:0.306515:0.706920:0.306515:0.690451:0.299040:0.690451:0.000000
j:@0.392824:0.706920:0.396677:0.706920:0.396677:0.690451:0.392824:0.690451:0.000000
j:@0.480442:0.706920:0.484295:0.706920:0.484295:0.690451:0.480442:0.690451:0.000000
y de esta se obtiene   = 2(10 –  ),   = 1, 2, …, 9.:@0.108237:0.736980:0.432834:0.736980:0.432834:0.720483:0.108237:0.720483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.252203:0.737096:0.259889:0.737096:0.259889:0.720627:0.252203:0.720627:0.000000
j j:@0.329206:0.737096:0.349762:0.737096:0.349762:0.720627:0.329206:0.720627:0.000000:0.000000:0.000000
Nota que 10 –   ≥ 1, entonces,   < 9.:@0.108237:0.771682:0.360204:0.771682:0.360204:0.755184:0.108237:0.755184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.215813:0.771797:0.219666:0.771797:0.219666:0.755329:0.215813:0.755329:0.000000
j:@0.326008:0.771797:0.329861:0.771797:0.329861:0.755329:0.326008:0.755329:0.000000
Así,                                 = 1, 2, … 9 son soluciones enteras positivas.:@0.108237:0.806383:0.575975:0.806383:0.575975:0.789886:0.108237:0.789886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.261608:0.806499:0.265461:0.806499:0.265461:0.790030:0.261608:0.790030:0.000000
En la siguiente tabla se muestran las soluciones::@0.108237:0.848213:0.443543:0.848213:0.443543:0.831715:0.108237:0.831715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.629006:0.330983:0.640487:0.330983:0.640487:0.320959:0.629006:0.320959:0.000000
 :@0.640487:0.331691:0.643368:0.331691:0.643368:0.320214:0.640487:0.320214:0.000000
Figura 5.1. Esta es la recta L y la única :@0.643368:0.331691:0.827359:0.331691:0.827359:0.320214:0.643368:0.320214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución entera positiva.:@0.629001:0.343761:0.748626:0.343761:0.748626:0.332285:0.629001:0.332285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.156485:0.231888:0.173670:0.231888:0.173670:0.215391:0.156485:0.215391:0.000000:0.000000
3:@0.160820:0.248227:0.169316:0.248227:0.169316:0.231729:0.160820:0.231729:0.000000
10:@0.312487:0.241600:0.329671:0.241600:0.329671:0.225102:0.312487:0.225102:0.000000:0.000000
3:@0.316821:0.257938:0.325317:0.257938:0.325317:0.241441:0.316821:0.241441:0.000000
0 ≤   ≤ 5,:@0.255415:0.224978:0.320820:0.224978:0.320820:0.208481:0.255415:0.208481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.283002:0.225094:0.290477:0.225094:0.290477:0.208625:0.283002:0.208625:0.000000
0 ≤   ≤       :@0.255415:0.249457:0.334152:0.249457:0.334152:0.232960:0.255415:0.232960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.283002:0.249573:0.290689:0.249573:0.290689:0.233104:0.283002:0.233104:0.000000
j:@0.562116:0.287402:0.565969:0.287402:0.565969:0.270933:0.562116:0.270933:0.000000
 = 0,:@0.565969:0.287286:0.596312:0.287286:0.596312:0.270789:0.565969:0.270789:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.562116:0.304753:0.565969:0.304753:0.565969:0.288284:0.562116:0.288284:0.000000
 = 1.:@0.565969:0.304637:0.596312:0.304637:0.596312:0.288139:0.565969:0.288139:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.152776:0.800099:0.160251:0.800099:0.160251:0.783630:0.152776:0.783630:0.000000
 = 5 ,:@0.160251:0.799984:0.194447:0.799984:0.194447:0.783486:0.160251:0.783486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.187839:0.800099:0.191692:0.800099:0.191692:0.783630:0.187839:0.783630:0.000000
y:@0.152776:0.817450:0.160463:0.817450:0.160463:0.800981:0.152776:0.800981:0.000000
 = 2(10 –  ),:@0.160463:0.817334:0.242340:0.817334:0.242340:0.800837:0.160463:0.800837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.229779:0.817450:0.233632:0.817450:0.233632:0.800981:0.229779:0.800981:0.000000
j:@0.130284:0.883345:0.134503:0.883345:0.134503:0.866558:0.130284:0.866558:0.000000
1:@0.183719:0.881668:0.191477:0.881668:0.191477:0.866605:0.183719:0.866605:0.000000
2:@0.246639:0.881668:0.254396:0.881668:0.254396:0.866605:0.246639:0.866605:0.000000
3:@0.309558:0.881668:0.317316:0.881668:0.317316:0.866605:0.309558:0.866605:0.000000
4:@0.372478:0.881668:0.380235:0.881668:0.380235:0.866605:0.372478:0.866605:0.000000
5:@0.435397:0.881668:0.443155:0.881668:0.443155:0.866605:0.435397:0.866605:0.000000
6:@0.498317:0.881668:0.506074:0.881668:0.506074:0.866605:0.498317:0.866605:0.000000
7:@0.561236:0.881668:0.568993:0.881668:0.568993:0.866605:0.561236:0.866605:0.000000
x:@0.128512:0.901752:0.136276:0.901752:0.136276:0.884965:0.128512:0.884965:0.000000
5:@0.183719:0.900565:0.191477:0.900565:0.191477:0.885502:0.183719:0.885502:0.000000
10:@0.242769:0.900565:0.258283:0.900565:0.258283:0.885502:0.242769:0.885502:0.000000:0.000000
15:@0.305689:0.900565:0.321203:0.900565:0.321203:0.885502:0.305689:0.885502:0.000000:0.000000
20:@0.368608:0.900565:0.384122:0.900565:0.384122:0.885502:0.368608:0.885502:0.000000:0.000000
25:@0.431528:0.900565:0.447042:0.900565:0.447042:0.885502:0.431528:0.885502:0.000000:0.000000
30:@0.494447:0.900565:0.509961:0.900565:0.509961:0.885502:0.494447:0.885502:0.000000:0.000000
35:@0.557366:0.900565:0.572881:0.900565:0.572881:0.885502:0.557366:0.885502:0.000000:0.000000
y:@0.128386:0.920157:0.136401:0.920157:0.136401:0.903371:0.128386:0.903371:0.000000
18:@0.179839:0.918971:0.195354:0.918971:0.195354:0.903908:0.179839:0.903908:0.000000:0.000000
16:@0.242759:0.918971:0.258273:0.918971:0.258273:0.903908:0.242759:0.903908:0.000000:0.000000
14:@0.305678:0.918971:0.321193:0.918971:0.321193:0.903908:0.305678:0.903908:0.000000:0.000000
12:@0.368598:0.918971:0.384112:0.918971:0.384112:0.903908:0.368598:0.903908:0.000000:0.000000
10:@0.431517:0.918971:0.447032:0.918971:0.447032:0.903908:0.431517:0.903908:0.000000:0.000000
8:@0.498324:0.918971:0.506082:0.918971:0.506082:0.903908:0.498324:0.903908:0.000000
6:@0.561244:0.918971:0.569001:0.918971:0.569001:0.903908:0.561244:0.903908:0.000000
(2, 2):@0.723237:0.260361:0.751250:0.260361:0.751250:0.247449:0.723237:0.247449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  + 3  = 10:@0.758156:0.280718:0.826500:0.280718:0.826500:0.267806:0.758156:0.267806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.764805:0.280808:0.770655:0.280808:0.770655:0.267920:0.764805:0.267920:0.000000
y:@0.792245:0.280808:0.798261:0.280808:0.798261:0.267920:0.792245:0.267920:0.000000
0:@0.661533:0.311674:0.668551:0.311674:0.668551:0.298046:0.661533:0.298046:0.000000
x:@0.836341:0.313072:0.842945:0.313072:0.842945:0.299443:0.836341:0.299443:0.000000
1:@0.693766:0.312280:0.699676:0.312280:0.699676:0.300803:0.693766:0.300803:0.000000
1:@0.660436:0.284710:0.666346:0.284710:0.666346:0.273233:0.660436:0.273233:0.000000
2:@0.660436:0.266886:0.666346:0.266886:0.666346:0.255409:0.660436:0.255409:0.000000
3:@0.660436:0.249063:0.666346:0.249063:0.666346:0.237586:0.660436:0.237586:0.000000
4:@0.660436:0.231239:0.666346:0.231239:0.666346:0.219762:0.660436:0.219762:0.000000
5:@0.660436:0.213416:0.666346:0.213416:0.666346:0.201939:0.660436:0.201939:0.000000
2:@0.717514:0.312270:0.723425:0.312270:0.723425:0.300793:0.717514:0.300793:0.000000
3:@0.741263:0.312270:0.747173:0.312270:0.747173:0.300793:0.741263:0.300793:0.000000
4:@0.765011:0.312270:0.770921:0.312270:0.770921:0.300793:0.765011:0.300793:0.000000
5:@0.788759:0.312270:0.794669:0.312270:0.794669:0.300793:0.788759:0.300793:0.000000
6:@0.812507:0.312270:0.818417:0.312270:0.818417:0.300793:0.812507:0.300793:0.000000
y:@0.658581:0.200812:0.665043:0.200812:0.665043:0.187183:0.658581:0.187183:0.000000
Shutterstock, 411734815:@0.871305:0.836838:0.871305:0.768665:0.859836:0.768665:0.859836:0.836838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000