172:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000 Solución de problemas:@0.615740:0.093478:0.895500:0.093478:0.895500:0.066773:0.615740:0.066773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia matemática:@0.138821:0.103383:0.578361:0.103383:0.578361:0.040860:0.138821:0.040860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Un problema de transporte simplificado:@0.143847:0.124058:0.466794:0.124058:0.466794:0.106375:0.143847:0.106375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1.:@0.143847:0.140529:0.157539:0.140529:0.157539:0.124084:0.143847:0.124084:0.000000:0.000000 En una ciudad, hay 2 depósi-:@0.157447:0.139851:0.386723:0.139851:0.386723:0.124070:0.157447:0.124070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tos de gas, 6 restaurantes y :@0.167582:0.156447:0.372313:0.156447:0.372313:0.140667:0.167582:0.140667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.368314:0.156447:0.372276:0.156447:0.372276:0.140667:0.368314:0.140667:0.000000 10 panaderías. Diariamente se :@0.167582:0.173044:0.363904:0.173044:0.363904:0.157263:0.167582:0.157263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 entregan 8 cilindros de cada :@0.167582:0.189640:0.362233:0.189640:0.362233:0.173860:0.167582:0.173860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 depósito de gas, y el segundo :@0.167582:0.206236:0.362233:0.206236:0.362233:0.190456:0.167582:0.190456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 depósito siempre hace entre-:@0.167582:0.222833:0.361627:0.222833:0.361627:0.207052:0.167582:0.207052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 gas a los restaurantes y a las pa-:@0.167582:0.239429:0.375060:0.239429:0.375060:0.223649:0.167582:0.223649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 naderías. Los restaurantes reciben :@0.167582:0.256025:0.409133:0.256025:0.409133:0.240245:0.167582:0.240245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.405169:0.256025:0.409131:0.256025:0.409131:0.240245:0.405169:0.240245:0.000000 6 cilindros de gas y las panaderías reciben 10.:@0.167582:0.272622:0.466183:0.272622:0.466183:0.256841:0.167582:0.256841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.143847:0.305815:0.147809:0.305815:0.147809:0.290034:0.143847:0.290034:0.000000 El costo de transporte de un cilindro de gas del :@0.167582:0.305815:0.505176:0.305815:0.505176:0.290034:0.167582:0.290034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 primer depósito a los restaurantes es de $ 0,75 y a :@0.167582:0.322411:0.505102:0.322411:0.505102:0.306631:0.167582:0.306631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las panaderías es de $ 0,65. El costo de transporte :@0.167582:0.339007:0.505141:0.339007:0.505141:0.323227:0.167582:0.323227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de un cilindro de gas del segundo depósito a los :@0.167582:0.355604:0.505213:0.355604:0.505213:0.339823:0.167582:0.339823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 restaurantes es de $ 0,70 y a las panaderías es de :@0.167582:0.372200:0.505213:0.372200:0.505213:0.356420:0.167582:0.356420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.501177:0.372200:0.505139:0.372200:0.505139:0.356420:0.501177:0.356420:0.000000 $ 0,8. Lo que nos interesa es planificar el transporte :@0.167582:0.388796:0.505084:0.388796:0.505084:0.373016:0.167582:0.373016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de gas para que el costo sea mínimo.:@0.167582:0.405393:0.416816:0.405393:0.416816:0.389612:0.167582:0.389612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i):@0.167582:0.438793:0.177662:0.438793:0.177662:0.422805:0.167582:0.422805:0.000000:0.000000 :@0.177662:0.438586:0.181624:0.438586:0.181624:0.422805:0.177662:0.422805:0.000000 Modelo matemático:@0.191317:0.439028:0.341076:0.439028:0.341076:0.422819:0.191317:0.422819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.167582:0.455182:0.171544:0.455182:0.171544:0.439402:0.167582:0.439402:0.000000 Designamos con y al número de cilindros :@0.191317:0.455182:0.505134:0.455182:0.505134:0.439402:0.191317:0.439402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.307595:0.455293:0.314745:0.455293:0.314745:0.439540:0.307595:0.439540:0.000000 1:@0.314767:0.458317:0.319504:0.458317:0.319504:0.449117:0.314767:0.449117:0.000000 x:@0.334432:0.455293:0.341582:0.455293:0.341582:0.439540:0.334432:0.439540:0.000000 2:@0.341589:0.458317:0.346327:0.458317:0.346327:0.449117:0.341589:0.449117:0.000000 de gas del primer depósito que lleva el gas a :@0.191332:0.471778:0.505189:0.471778:0.505189:0.455998:0.191332:0.455998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los restaurantes y a las panaderías, respectiva-:@0.191332:0.488375:0.501170:0.488375:0.501170:0.472594:0.191332:0.472594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mente. Con y se designa el número de ci-:@0.191332:0.504971:0.501187:0.504971:0.501187:0.489191:0.191332:0.489191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.274846:0.505082:0.282290:0.505082:0.282290:0.489329:0.274846:0.489329:0.000000 1:@0.282290:0.508106:0.287028:0.508106:0.287028:0.498906:0.282290:0.498906:0.000000 v:@0.302047:0.505082:0.309491:0.505082:0.309491:0.489329:0.302047:0.489329:0.000000 2:@0.309490:0.508106:0.314227:0.508106:0.314227:0.498906:0.309490:0.498906:0.000000 lindros de gas del segundo depósito que lleva :@0.191333:0.521567:0.505178:0.521567:0.505178:0.505787:0.191333:0.505787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el gas a los restaurantes y a las panaderías.:@0.191333:0.538164:0.473272:0.538164:0.473272:0.522383:0.191333:0.522383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.167599:0.571357:0.171560:0.571357:0.171560:0.555576:0.167599:0.555576:0.000000 De la información de las distribuidoras de gas, :@0.191333:0.571357:0.505185:0.571357:0.505185:0.555576:0.191333:0.555576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 obtenemos::@0.191333:0.587953:0.271973:0.587953:0.271973:0.572173:0.191333:0.572173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.204159:0.621256:0.211309:0.621256:0.211309:0.605504:0.204159:0.605504:0.000000 1:@0.211304:0.624280:0.216042:0.624280:0.216042:0.615081:0.211304:0.615081:0.000000 + = 8, + = 8, + = 6,:@0.216043:0.621146:0.441989:0.621146:0.441989:0.605365:0.216043:0.605365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.234305:0.621256:0.241455:0.621256:0.241455:0.605504:0.234305:0.605504:0.000000 2:@0.241453:0.624280:0.246191:0.624280:0.246191:0.615081:0.241453:0.615081:0.000000 v:@0.287100:0.621256:0.294545:0.621256:0.294545:0.605504:0.287100:0.605504:0.000000 1:@0.294545:0.624280:0.299283:0.624280:0.299283:0.615081:0.294545:0.615081:0.000000 v:@0.317544:0.621256:0.324989:0.621256:0.324989:0.605504:0.317544:0.605504:0.000000 2:@0.324987:0.624280:0.329725:0.624280:0.329725:0.615081:0.324987:0.615081:0.000000 x:@0.370636:0.621256:0.377786:0.621256:0.377786:0.605504:0.370636:0.605504:0.000000 1:@0.377784:0.624280:0.382522:0.624280:0.382522:0.615081:0.377784:0.615081:0.000000 v:@0.400784:0.621256:0.408228:0.621256:0.408228:0.605504:0.400784:0.605504:0.000000 1:@0.408228:0.624280:0.412966:0.624280:0.412966:0.615081:0.408228:0.615081:0.000000 x:@0.204144:0.637853:0.211294:0.637853:0.211294:0.622100:0.204144:0.622100:0.000000 2:@0.211304:0.640877:0.216042:0.640877:0.216042:0.631677:0.211304:0.631677:0.000000 + = 10, ≥ 0, ≥ 1 = 1, 2.:@0.216041:0.637742:0.440725:0.637742:0.440725:0.621962:0.216041:0.621962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.234303:0.637853:0.241748:0.637853:0.241748:0.622100:0.234303:0.622100:0.000000 2:@0.241748:0.640877:0.246486:0.640877:0.246486:0.631677:0.241748:0.631677:0.000000 x:@0.295521:0.637853:0.302671:0.637853:0.302671:0.622100:0.295521:0.622100:0.000000 i:@0.302635:0.640941:0.304751:0.640941:0.304751:0.631758:0.302635:0.631758:0.000000 v:@0.345660:0.637853:0.353105:0.637853:0.353105:0.622100:0.345660:0.622100:0.000000 i:@0.352955:0.640941:0.355072:0.640941:0.355072:0.631758:0.352955:0.631758:0.000000 i:@0.393347:0.637853:0.396977:0.637853:0.396977:0.622100:0.393347:0.622100:0.000000 :@0.167590:0.654338:0.171552:0.654338:0.171552:0.638558:0.167590:0.638558:0.000000 :@0.167590:0.670935:0.171552:0.670935:0.171552:0.655154:0.167590:0.655154:0.000000 Costo de transporte::@0.191325:0.670935:0.330583:0.670935:0.330583:0.655154:0.191325:0.655154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.167590:0.687531:0.171552:0.687531:0.171552:0.671751:0.167590:0.671751:0.000000 C:@0.191325:0.687642:0.200926:0.687642:0.200926:0.671889:0.191325:0.671889:0.000000 T:@0.200934:0.690730:0.206402:0.690730:0.206402:0.681547:0.200934:0.681547:0.000000 = 0,75 + 0,65 + 0,7 + 0,8 .:@0.206402:0.687531:0.422027:0.687531:0.422027:0.671751:0.206402:0.671751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.251679:0.687642:0.258829:0.687642:0.258829:0.671889:0.251679:0.671889:0.000000 1:@0.258827:0.690666:0.263565:0.690666:0.263565:0.681466:0.258827:0.681466:0.000000 x:@0.308843:0.687642:0.315993:0.687642:0.315993:0.671889:0.308843:0.671889:0.000000 2:@0.315991:0.690666:0.320729:0.690666:0.320729:0.681466:0.315991:0.681466:0.000000 v:@0.357879:0.687642:0.365324:0.687642:0.365324:0.671889:0.357879:0.671889:0.000000 1:@0.365322:0.690666:0.370060:0.690666:0.370060:0.681466:0.365322:0.681466:0.000000 v:@0.407210:0.687642:0.414654:0.687642:0.414654:0.671889:0.407210:0.671889:0.000000 2:@0.414654:0.690666:0.419392:0.690666:0.419392:0.681466:0.414654:0.681466:0.000000 :@0.167597:0.704128:0.171559:0.704128:0.171559:0.688347:0.167597:0.688347:0.000000 :@0.167597:0.720724:0.171559:0.720724:0.171559:0.704944:0.167597:0.704944:0.000000 Por lo tanto, interesa minimizar el costo .:@0.191332:0.720724:0.482217:0.720724:0.482217:0.704944:0.191332:0.704944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.464243:0.720835:0.473844:0.720835:0.473844:0.705082:0.464243:0.705082:0.000000 T:@0.473844:0.723923:0.479312:0.723923:0.479312:0.714739:0.473844:0.714739:0.000000 mín:@0.191318:0.737320:0.218425:0.737320:0.218425:0.721540:0.191318:0.721540:0.000000:0.000000:0.000000 C:@0.222387:0.737431:0.231988:0.737431:0.231988:0.721678:0.222387:0.721678:0.000000 T:@0.232003:0.740520:0.237471:0.740520:0.237471:0.731336:0.232003:0.731336:0.000000 .:@0.238009:0.737320:0.240644:0.737320:0.240644:0.721540:0.238009:0.721540:0.000000 x:@0.262573:0.770624:0.269723:0.770624:0.269723:0.754871:0.262573:0.754871:0.000000 i:@0.269678:0.773712:0.271794:0.773712:0.271794:0.764529:0.269678:0.764529:0.000000 ≥ 0, ≥ 1 = 1, 2,:@0.271793:0.770513:0.407768:0.770513:0.407768:0.754733:0.271793:0.754733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.312703:0.770624:0.320148:0.770624:0.320148:0.754871:0.312703:0.754871:0.000000 i:@0.319998:0.773712:0.322115:0.773712:0.322115:0.764529:0.319998:0.764529:0.000000 i:@0.360390:0.770624:0.364020:0.770624:0.364020:0.754871:0.360390:0.754871:0.000000 x:@0.262558:0.787220:0.269708:0.787220:0.269708:0.771467:0.262558:0.771467:0.000000 1:@0.269714:0.790244:0.274452:0.790244:0.274452:0.781044:0.269714:0.781044:0.000000 + = 8, :@0.274452:0.787109:0.337585:0.787109:0.337585:0.771329:0.274452:0.771329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.292714:0.787220:0.299864:0.787220:0.299864:0.771467:0.292714:0.771467:0.000000 2:@0.299862:0.790244:0.304600:0.790244:0.304600:0.781044:0.299862:0.781044:0.000000 ( ):@0.428765:0.787109:0.448741:0.787109:0.448741:0.771329:0.428765:0.771329:0.000000:0.000000:0.000000 a:@0.434459:0.787220:0.443046:0.787220:0.443046:0.771467:0.434459:0.771467:0.000000 :@0.167590:0.803706:0.171552:0.803706:0.171552:0.787925:0.167590:0.787925:0.000000 sujeto a :@0.191325:0.803706:0.247916:0.803706:0.247916:0.787925:0.191325:0.787925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.262548:0.803816:0.269993:0.803816:0.269993:0.788064:0.262548:0.788064:0.000000 1:@0.270009:0.806841:0.274747:0.806841:0.274747:0.797641:0.270009:0.797641:0.000000 + = 8, :@0.274747:0.803706:0.338176:0.803706:0.338176:0.787925:0.274747:0.787925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.293009:0.803816:0.300453:0.803816:0.300453:0.788064:0.293009:0.788064:0.000000 2:@0.300452:0.806841:0.305189:0.806841:0.305189:0.797641:0.300452:0.797641:0.000000 ( ) :@0.428767:0.803706:0.452981:0.803706:0.452981:0.787925:0.428767:0.787925:0.000000:0.000000:0.000000:0.000000 b:@0.434461:0.803816:0.443325:0.803816:0.443325:0.788064:0.434461:0.788064:0.000000 x:@0.262568:0.820413:0.269718:0.820413:0.269718:0.804660:0.262568:0.804660:0.000000 1:@0.269714:0.823437:0.274452:0.823437:0.274452:0.814237:0.269714:0.814237:0.000000 + = 6, :@0.274452:0.820302:0.337880:0.820302:0.337880:0.804522:0.274452:0.804522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.292714:0.820413:0.300159:0.820413:0.300159:0.804660:0.292714:0.804660:0.000000 1:@0.300157:0.823437:0.304895:0.823437:0.304895:0.814237:0.300157:0.814237:0.000000 ( ):@0.428765:0.820302:0.447027:0.820302:0.447027:0.804522:0.428765:0.804522:0.000000:0.000000:0.000000 c:@0.434459:0.820413:0.441333:0.820413:0.441333:0.804660:0.434459:0.804660:0.000000 x:@0.262566:0.837009:0.269716:0.837009:0.269716:0.821256:0.262566:0.821256:0.000000 2:@0.269714:0.840033:0.274452:0.840033:0.274452:0.830833:0.269714:0.830833:0.000000 + = 10. :@0.274452:0.836899:0.346007:0.836899:0.346007:0.821118:0.274452:0.821118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.292714:0.837009:0.300159:0.837009:0.300159:0.821256:0.292714:0.821256:0.000000 2:@0.300157:0.840033:0.304895:0.840033:0.304895:0.830833:0.300157:0.830833:0.000000 ( ):@0.428765:0.836899:0.448925:0.836899:0.448925:0.821118:0.428765:0.821118:0.000000:0.000000:0.000000 d:@0.434459:0.837009:0.443231:0.837009:0.443231:0.821256:0.434459:0.821256:0.000000 ii):@0.167590:0.870299:0.181743:0.870299:0.181743:0.854311:0.167590:0.854311:0.000000:0.000000:0.000000 :@0.181743:0.870091:0.185705:0.870091:0.185705:0.854311:0.181743:0.854311:0.000000 Conjunto de soluciones factibles:@0.191325:0.870534:0.429976:0.870534:0.429976:0.854325:0.191325:0.854325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.167590:0.886688:0.171552:0.886688:0.171552:0.870907:0.167590:0.870907:0.000000 De ( ) obtenemos = 6 – y de ( ),:@0.191325:0.886688:0.446538:0.886688:0.446538:0.870907:0.191325:0.870907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.220643:0.886798:0.227517:0.886798:0.227517:0.871046:0.220643:0.871046:0.000000 v:@0.318861:0.886798:0.326306:0.886798:0.326306:0.871046:0.318861:0.871046:0.000000 1:@0.326312:0.889822:0.331050:0.889822:0.331050:0.880623:0.326312:0.880623:0.000000 x:@0.375407:0.886798:0.382557:0.886798:0.382557:0.871046:0.375407:0.871046:0.000000 1:@0.382555:0.889822:0.387293:0.889822:0.387293:0.880623:0.382555:0.880623:0.000000 d:@0.429437:0.886798:0.438208:0.886798:0.438208:0.871046:0.429437:0.871046:0.000000 :@0.167599:0.903284:0.171560:0.903284:0.171560:0.887504:0.167599:0.887504:0.000000 v:@0.191333:0.903395:0.198778:0.903395:0.198778:0.887642:0.191333:0.887642:0.000000 2:@0.198778:0.906419:0.203516:0.906419:0.203516:0.897219:0.198778:0.897219:0.000000 = 10 – . Como ≥ 1, ≥ 1, se sigue que :@0.203516:0.903284:0.503592:0.903284:0.503592:0.887504:0.203516:0.887504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.255998:0.903395:0.263147:0.903395:0.263147:0.887642:0.255998:0.887642:0.000000 2:@0.263146:0.906419:0.267884:0.906419:0.267884:0.897219:0.263146:0.897219:0.000000 v:@0.325453:0.903395:0.332898:0.903395:0.332898:0.887642:0.325453:0.887642:0.000000 1:@0.332896:0.906483:0.337397:0.906483:0.337397:0.897300:0.332896:0.897300:0.000000 v:@0.370383:0.903395:0.377828:0.903395:0.377828:0.887642:0.370383:0.887642:0.000000 2:@0.377826:0.906483:0.382327:0.906483:0.382327:0.897300:0.377826:0.897300:0.000000 :@0.167590:0.919880:0.171552:0.919880:0.171552:0.904100:0.167590:0.904100:0.000000 6 – ≥ 1 ≤ 5, 10 – ≥ 1 ≤ 9.:@0.191325:0.919880:0.468505:0.919881:0.468505:0.904100:0.191325:0.904100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.217418:0.919991:0.224568:0.919991:0.224568:0.904238:0.217418:0.904238:0.000000 1:@0.224577:0.923016:0.229315:0.923016:0.229315:0.913816:0.224577:0.913816:0.000000 ⇒:@0.259663:0.919259:0.277024:0.919259:0.277024:0.903086:0.259663:0.903086:0.000000 x:@0.280984:0.919992:0.288134:0.919992:0.288134:0.904239:0.280984:0.904239:0.000000 1:@0.288134:0.923016:0.292871:0.923016:0.292871:0.913816:0.288134:0.913816:0.000000 x:@0.364039:0.919992:0.371189:0.919992:0.371189:0.904239:0.364039:0.904239:0.000000 2:@0.371187:0.923016:0.375925:0.923016:0.375925:0.913816:0.371187:0.913816:0.000000 ⇒:@0.406275:0.919259:0.423636:0.919259:0.423636:0.903086:0.406275:0.903086:0.000000 x:@0.427594:0.919992:0.434744:0.919992:0.434744:0.904239:0.427594:0.904239:0.000000 2:@0.434744:0.923016:0.439482:0.923016:0.439482:0.913816:0.434744:0.913816:0.000000 Reemplazando y en ( ), se tiene::@0.581909:0.122273:0.833690:0.122274:0.833690:0.106493:0.581909:0.106493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.687812:0.122384:0.695257:0.122384:0.695257:0.106631:0.687812:0.106631:0.000000 1:@0.695262:0.125409:0.700000:0.125409:0.700000:0.116209:0.695262:0.116209:0.000000 v:@0.715405:0.122384:0.722850:0.122384:0.722850:0.106632:0.715405:0.106632:0.000000 2:@0.722848:0.125409:0.727586:0.125409:0.727586:0.116209:0.722848:0.116209:0.000000 b:@0.757992:0.122384:0.766855:0.122384:0.766855:0.106632:0.757992:0.106632:0.000000 6 – + 10 – = 8,:@0.558162:0.138870:0.713288:0.138870:0.713288:0.123090:0.558162:0.123090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.607991:0.138981:0.615140:0.138981:0.615140:0.123228:0.607991:0.123228:0.000000 1:@0.615157:0.142005:0.619895:0.142005:0.619895:0.132805:0.615157:0.132805:0.000000 x:@0.672377:0.138981:0.679527:0.138981:0.679527:0.123228:0.672377:0.123228:0.000000 2:@0.679527:0.142005:0.684264:0.142005:0.684264:0.132805:0.679527:0.132805:0.000000 :@0.558164:0.155467:0.562126:0.155467:0.562126:0.139686:0.558164:0.139686:0.000000 x:@0.581899:0.155577:0.589049:0.155577:0.589049:0.139824:0.581899:0.139824:0.000000 1:@0.589065:0.158601:0.593803:0.158601:0.593803:0.149401:0.589065:0.149401:0.000000 + = 8,:@0.593803:0.155467:0.652974:0.155467:0.652974:0.139686:0.593803:0.139686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.612065:0.155577:0.619215:0.155577:0.619215:0.139824:0.612065:0.139824:0.000000 2:@0.619213:0.158601:0.623951:0.158601:0.623951:0.149401:0.619213:0.149401:0.000000 que es idéntica a la restricción ( ).:@0.558164:0.172063:0.811413:0.172063:0.811413:0.156283:0.558164:0.156283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.794497:0.172174:0.803084:0.172174:0.803084:0.156421:0.794497:0.156421:0.000000 Como ≥ 0, ≥ 0, resulta que::@0.581899:0.205256:0.796266:0.205256:0.796266:0.189475:0.581899:0.189475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.628908:0.205366:0.636058:0.205366:0.636058:0.189614:0.628908:0.189614:0.000000 1:@0.636073:0.208390:0.640810:0.208390:0.640810:0.199191:0.636073:0.199191:0.000000 x:@0.673796:0.205366:0.680946:0.205366:0.680946:0.189614:0.673796:0.189614:0.000000 2:@0.680946:0.208390:0.685683:0.208390:0.685683:0.199191:0.680946:0.199191:0.000000 :@0.558164:0.221852:0.562126:0.221852:0.562126:0.206072:0.558164:0.206072:0.000000 :@0.558164:0.238448:0.562126:0.238448:0.562126:0.222668:0.558164:0.222668:0.000000 0 ≤ ≤ 5, 0 ≤ ≤ 9, = 6 – ,:@0.581908:0.238448:0.824163:0.238448:0.824163:0.222668:0.581908:0.222668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.621113:0.238559:0.628263:0.238559:0.628263:0.222806:0.621113:0.222806:0.000000 1:@0.628274:0.241583:0.633012:0.241583:0.633012:0.232383:0.628274:0.232383:0.000000 x:@0.700310:0.238559:0.707460:0.238559:0.707460:0.222806:0.700310:0.222806:0.000000 2:@0.707458:0.241583:0.712196:0.241583:0.712196:0.232383:0.707458:0.232383:0.000000 v:@0.753105:0.238559:0.760550:0.238559:0.760550:0.222806:0.753105:0.222806:0.000000 1:@0.760548:0.241583:0.765286:0.241583:0.765286:0.232383:0.760548:0.232383:0.000000 x:@0.809643:0.238559:0.816792:0.238559:0.816792:0.222806:0.809643:0.222806:0.000000 1:@0.816791:0.241583:0.821529:0.241583:0.821529:0.232383:0.816791:0.232383:0.000000 v:@0.594739:0.255155:0.602184:0.255155:0.602184:0.239403:0.594739:0.239403:0.000000 2:@0.602181:0.258180:0.606919:0.258180:0.606919:0.248980:0.602181:0.248980:0.000000 = 10 – , + = 8 = 8 – .:@0.606918:0.255045:0.848627:0.255045:0.848627:0.239264:0.606918:0.239264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.659400:0.255155:0.666550:0.255155:0.666550:0.239403:0.659400:0.239403:0.000000 2:@0.666550:0.258180:0.671288:0.258180:0.671288:0.248980:0.666550:0.248980:0.000000 x:@0.685809:0.255155:0.692959:0.255155:0.692959:0.239403:0.685809:0.239403:0.000000 1:@0.692957:0.258180:0.697695:0.258180:0.697695:0.248980:0.692957:0.248980:0.000000 x:@0.715956:0.255155:0.723106:0.255155:0.723106:0.239403:0.715956:0.239403:0.000000 2 :@0.723106:0.258180:0.730154:0.258180:0.730154:0.248980:0.723106:0.248980:0.000000:0.000000 ⇒:@0.756542:0.254422:0.773904:0.254422:0.773904:0.238250:0.756542:0.238250:0.000000 x:@0.777862:0.255155:0.785011:0.255155:0.785011:0.239403:0.777862:0.239403:0.000000 2:@0.785011:0.258180:0.789749:0.258180:0.789749:0.248980:0.785011:0.248980:0.000000 x:@0.834104:0.255155:0.841254:0.255155:0.841254:0.239403:0.834104:0.239403:0.000000 1:@0.841254:0.258180:0.845992:0.258180:0.845992:0.248980:0.841254:0.248980:0.000000 Reemplacemos , y en el costo .:@0.581905:0.288238:0.848329:0.288238:0.848329:0.272457:0.581905:0.272457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v v:@0.689744:0.288348:0.715977:0.288348:0.715977:0.272595:0.689744:0.272595:0.000000:0.000000:0.000000 1:@0.697197:0.291372:0.701935:0.291372:0.701935:0.282172:0.697197:0.282172:0.000000 2:@0.715977:0.291372:0.720714:0.291372:0.720714:0.282172:0.715977:0.282172:0.000000 x:@0.736120:0.288348:0.743270:0.288348:0.743270:0.272595:0.736120:0.272595:0.000000 2:@0.743268:0.291372:0.748006:0.291372:0.748006:0.282172:0.743268:0.282172:0.000000 C:@0.829013:0.288348:0.838614:0.288348:0.838614:0.272595:0.829013:0.272595:0.000000 T:@0.838614:0.291437:0.844082:0.291437:0.844082:0.282253:0.838614:0.282253:0.000000 :@0.558167:0.321430:0.562129:0.321430:0.562129:0.305650:0.558167:0.305650:0.000000 C:@0.581902:0.321541:0.591503:0.321541:0.591503:0.305788:0.581902:0.305788:0.000000 T:@0.591516:0.324630:0.596985:0.324630:0.596985:0.315446:0.591516:0.315446:0.000000 = 0,75 – 0,65 – 0,7(6 – ) + 0,8(10 – ):@0.598596:0.321430:0.891768:0.321430:0.891768:0.305650:0.598596:0.305650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.643873:0.321541:0.651022:0.321541:0.651022:0.305788:0.643873:0.305788:0.000000 1:@0.651007:0.324565:0.655745:0.324565:0.655745:0.315365:0.651007:0.315365:0.000000 x:@0.700728:0.321541:0.707878:0.321541:0.707878:0.305788:0.700728:0.305788:0.000000 2 :@0.707863:0.324565:0.714911:0.324565:0.714911:0.315365:0.707863:0.315365:0.000000:0.000000 x:@0.779589:0.321541:0.786739:0.321541:0.786739:0.305788:0.779589:0.305788:0.000000 1:@0.786719:0.324565:0.791456:0.324565:0.791456:0.315365:0.786719:0.315365:0.000000 x:@0.874215:0.321541:0.881365:0.321541:0.881365:0.305788:0.874215:0.305788:0.000000 2:@0.881336:0.324565:0.886074:0.324565:0.886074:0.315365:0.881336:0.315365:0.000000 :@0.558172:0.338027:0.562134:0.338027:0.562134:0.322246:0.558172:0.322246:0.000000 = 0,05 – 0,15 + 12,2:@0.581907:0.338027:0.737262:0.338027:0.737262:0.322246:0.581907:0.322246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.623222:0.338137:0.630372:0.338137:0.630372:0.322385:0.623222:0.322385:0.000000 1:@0.630378:0.341161:0.635116:0.341161:0.635116:0.331962:0.630378:0.331962:0.000000 x:@0.680098:0.338137:0.687248:0.338137:0.687248:0.322385:0.680098:0.322385:0.000000 2:@0.687248:0.341161:0.691986:0.341161:0.691986:0.331962:0.687248:0.331962:0.000000 :@0.558164:0.354623:0.562126:0.354623:0.562126:0.338843:0.558164:0.338843:0.000000 = 0,05 – 0,15(8 – ) + 12,2 = 0,2 + 11.:@0.581899:0.354623:0.860928:0.354623:0.860928:0.338843:0.581899:0.338843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.623213:0.354734:0.630363:0.354734:0.630363:0.338981:0.623213:0.338981:0.000000 1:@0.630378:0.357758:0.635116:0.357758:0.635116:0.348558:0.630378:0.348558:0.000000 x:@0.711886:0.354734:0.719035:0.354734:0.719035:0.338981:0.711886:0.338981:0.000000 1:@0.719034:0.357758:0.723772:0.357758:0.723772:0.348558:0.719034:0.348558:0.000000 x:@0.811892:0.354734:0.819042:0.354734:0.819042:0.338981:0.811892:0.338981:0.000000 1:@0.819041:0.357758:0.823778:0.357758:0.823778:0.348558:0.819041:0.348558:0.000000 :@0.558162:0.371219:0.566086:0.371219:0.566086:0.355439:0.558162:0.355439:0.000000:0.000000 :@0.558162:0.387816:0.562124:0.387816:0.562124:0.372035:0.558162:0.372035:0.000000 Como 0 ≤ ≤ 5, se tiene la función::@0.581897:0.387816:0.826391:0.387816:0.826391:0.372035:0.581897:0.372035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.655294:0.387926:0.662444:0.387926:0.662444:0.372174:0.655294:0.372174:0.000000 1:@0.662461:0.390951:0.667199:0.390951:0.667199:0.381751:0.662461:0.381751:0.000000 :@0.558162:0.405173:0.562124:0.405173:0.562124:0.389392:0.558162:0.389392:0.000000 f x:@0.581897:0.405283:0.598850:0.405283:0.598850:0.389531:0.581897:0.389531:0.000000:0.000000:0.000000 ( ) = 0,2 + 11. :@0.586006:0.405173:0.702635:0.405167:0.702635:0.389386:0.586006:0.389392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.641695:0.405283:0.648845:0.405283:0.648845:0.389531:0.641695:0.389531:0.000000 1:@0.648861:0.408301:0.653599:0.408301:0.653599:0.399101:0.648861:0.399101:0.000000 x:@0.702633:0.405442:0.710108:0.405442:0.710108:0.388974:0.702633:0.388974:0.000000 1:@0.710108:0.408605:0.715061:0.408605:0.715061:0.398987:0.710108:0.398987:0.000000 :@0.715062:0.405327:0.737998:0.405327:0.737998:0.388829:0.715062:0.388829:0.000000:0.000000:0.000000 :@0.719203:0.404808:0.733856:0.404808:0.733856:0.391435:0.719203:0.391435:0.000000 [0, 5].:@0.737998:0.405167:0.774687:0.405167:0.774687:0.389386:0.737998:0.389386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.558162:0.421763:0.562124:0.421763:0.562124:0.405982:0.558162:0.405982:0.000000 :@0.558162:0.438359:0.562124:0.438359:0.562124:0.422579:0.558162:0.422579:0.000000 Claramente mín ( ) = 11, valor que se alcanza:@0.581897:0.438359:0.891737:0.438359:0.891737:0.422579:0.581897:0.422579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.695061:0.438470:0.712015:0.438470:0.712015:0.422717:0.695061:0.422717:0.000000:0.000000:0.000000 en = 0. Luego = 6, = 8 y = 2. Por lo :@0.581897:0.462078:0.895706:0.462085:0.895706:0.446304:0.581897:0.446298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.603476:0.462189:0.610626:0.462189:0.610626:0.446436:0.603476:0.446436:0.000000 1:@0.610649:0.465219:0.615387:0.465219:0.615387:0.456019:0.610649:0.456019:0.000000 v ˆ:@0.697169:0.462195:0.705092:0.461573:0.705092:0.445820:0.697169:0.446442:0.000000:0.000000:0.000000 1:@0.705098:0.465219:0.709835:0.465219:0.709835:0.456019:0.705098:0.456019:0.000000 x ˆ:@0.745310:0.462195:0.753215:0.461573:0.753215:0.445820:0.745310:0.446442:0.000000:0.000000:0.000000 2:@0.753214:0.465219:0.757951:0.465219:0.757951:0.456019:0.753214:0.456019:0.000000 v ˆ:@0.803062:0.462195:0.810986:0.461573:0.810986:0.445820:0.803062:0.446442:0.000000:0.000000:0.000000 2:@0.810993:0.465219:0.815731:0.465219:0.815731:0.456019:0.810993:0.456019:0.000000 tanto, se debe planificar la distribución de gas :@0.581920:0.478681:0.895721:0.478681:0.895721:0.462901:0.581920:0.462901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 del siguiente modo::@0.581920:0.495277:0.715445:0.495277:0.715445:0.479497:0.581920:0.479497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Modelo de dieta:@0.534427:0.646957:0.665615:0.646957:0.665615:0.629274:0.534427:0.629274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2.:@0.534427:0.663427:0.548211:0.663427:0.548211:0.646983:0.534427:0.646983:0.000000:0.000000 Dos alimentos básicos para el :@0.548211:0.662750:0.771000:0.662750:0.771000:0.646969:0.548211:0.646969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 desayuno de los niños son :@0.558162:0.679346:0.754230:0.679346:0.754230:0.663566:0.558162:0.663566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el pan y la leche. De estos :@0.558162:0.695943:0.744184:0.695943:0.744184:0.680162:0.558162:0.680162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dos alimentos, considera-:@0.558162:0.712539:0.735211:0.712539:0.735211:0.696758:0.558162:0.696758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mos dos nutrientes im-:@0.558162:0.729135:0.733499:0.729135:0.733499:0.713355:0.558162:0.713355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 portantes: la proteína y la :@0.558162:0.745732:0.739175:0.745732:0.739175:0.729951:0.558162:0.729951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 energía (calorías). Supon-:@0.558162:0.762328:0.740225:0.762328:0.740225:0.746548:0.558162:0.746548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 gamos que un pan (aproxi-:@0.558162:0.778924:0.750296:0.778924:0.750296:0.763144:0.558162:0.763144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 madamente 20 g) tiene 7 g de :@0.558162:0.795521:0.774298:0.795521:0.774298:0.779740:0.558162:0.779740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 proteína y calorías, y que una taza de :@0.558162:0.812117:0.817926:0.812117:0.817926:0.796337:0.558162:0.796337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 leche (aproximadamente 250 cm ) tiene 6 g de :@0.558162:0.828713:0.895721:0.828713:0.895721:0.812933:0.558162:0.812933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.789466:0.822637:0.794204:0.822637:0.794204:0.813437:0.789466:0.813437:0.000000 :@0.868541:0.828824:0.872503:0.828824:0.872503:0.813071:0.868541:0.813071:0.000000 proteína y 140 calorías. El costo de un pan es :@0.558164:0.845310:0.895723:0.845310:0.895723:0.829529:0.558164:0.829529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.891759:0.845310:0.895721:0.845310:0.895721:0.829529:0.891759:0.829529:0.000000 $ 0,12 y el de una taza de leche es $ 0,16.:@0.558164:0.861906:0.831514:0.861906:0.831514:0.846126:0.558164:0.846126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.534429:0.895099:0.538391:0.895099:0.538391:0.879319:0.534429:0.879319:0.000000 Estudia el caso con 40 panes y 40 tazas de leche :@0.558164:0.895099:0.895720:0.895099:0.895720:0.879319:0.558164:0.879319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 al mes, y que mensualmente proporcionen al me-:@0.558164:0.911695:0.891759:0.911695:0.891759:0.895915:0.558164:0.895915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nos 300 de proteína y 5 000 calorías.:@0.558164:0.928292:0.813477:0.928292:0.813477:0.912511:0.558164:0.912511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g:@0.614829:0.928402:0.621942:0.928402:0.621942:0.912650:0.614829:0.912650:0.000000 Practica en tu cuaderno:@0.551161:0.624060:0.726736:0.624060:0.726736:0.607851:0.551161:0.607851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Shutterstock, 529741768:@0.516338:0.293498:0.516338:0.225325:0.504870:0.225325:0.504870:0.293498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.661196:0.446752:0.666071:0.446752:0.666071:0.436012:0.661196:0.436012:0.000000 :@0.666071:0.446385:0.675839:0.446385:0.675839:0.437469:0.666071:0.437469:0.000000 [0,5]:@0.675838:0.446677:0.696355:0.446677:0.696355:0.435918:0.675838:0.435918:0.000000:0.000000:0.000000:0.000000:0.000000 Restaurantes Panaderías:@0.720453:0.527184:0.884251:0.527184:0.884251:0.512121:0.720453:0.512121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Depósito de gas # 1:@0.585977:0.545931:0.712361:0.545931:0.712361:0.530604:0.585977:0.530604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.758078:0.545588:0.765835:0.545588:0.765835:0.530524:0.758078:0.530524:0.000000 8:@0.845922:0.545588:0.853680:0.545588:0.853680:0.530524:0.845922:0.530524:0.000000 Depósito de gas # 2:@0.585977:0.563357:0.712361:0.563357:0.712361:0.548030:0.585977:0.548030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.758078:0.563014:0.765835:0.563014:0.765835:0.547951:0.758078:0.547951:0.000000 2:@0.845922:0.563014:0.853680:0.563014:0.853680:0.547951:0.845922:0.547951:0.000000 Total:@0.632679:0.580783:0.665642:0.580783:0.665642:0.565456:0.632679:0.565456:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.758060:0.580440:0.765817:0.580440:0.765817:0.565377:0.758060:0.565377:0.000000 10:@0.842035:0.580440:0.857549:0.580440:0.857549:0.565377:0.842035:0.565377:0.000000:0.000000 Shutterstock, 26939497:@0.906920:0.663231:0.906920:0.598385:0.895452:0.598385:0.895452:0.663231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para comprar los 40 panes y las 40 tazas de leche, debe tener $ 11,20 y esto le :@0.559672:0.941928:0.894099:0.941928:0.894099:0.931886:0.559672:0.931886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 aporta los requerimientos de proteínas y calorías necesarias.:@0.559672:0.950729:0.817420:0.950729:0.817420:0.940687:0.559672:0.940687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000