﻿159:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
Ejemplos paso a paso:@0.096359:0.116969:0.251252:0.116969:0.251252:0.101605:0.096359:0.101605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.144572:0.110585:0.144572:0.110585:0.127671:0.096359:0.127671:0.000000:0.000000
  Regresamos a nuestro problema inicial.:@0.110585:0.144572:0.411562:0.144572:0.411562:0.128183:0.110585:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102309:0.171552:0.157944:0.171552:0.157944:0.155974:0.102309:0.155974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Organizamos:@0.157944:0.171552:0.246413:0.171552:0.246413:0.156653:0.157944:0.156653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la información:@0.102309:0.186640:0.197913:0.186640:0.197913:0.171741:0.102309:0.171741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en una tabla.:@0.102309:0.201728:0.188332:0.201728:0.188332:0.186829:0.102309:0.186829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.102309:0.286357:0.154560:0.286357:0.154560:0.270779:0.102309:0.270779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Planteamos la función objetivo :@0.154560:0.286357:0.368200:0.286357:0.368200:0.271458:0.154560:0.271458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y las restricciones del problema. Como :@0.102309:0.301444:0.362536:0.301444:0.362536:0.286545:0.102309:0.286545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada unidad de producto genera una :@0.102309:0.316532:0.355503:0.316532:0.355503:0.301633:0.102309:0.301633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ganancia de: $5 cada litro de jugo de :@0.102309:0.331619:0.351700:0.331619:0.351700:0.316720:0.102309:0.316720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naranja y $3 por cada litro de jugo de :@0.102309:0.346707:0.354129:0.346707:0.354129:0.331808:0.102309:0.331808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manzana.:@0.102309:0.361795:0.166471:0.361795:0.166471:0.346896:0.102309:0.346896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea la función objetivo   = 5  + 3 , sujeta :@0.102309:0.384011:0.381251:0.384011:0.381251:0.369112:0.102309:0.369112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.257769:0.384011:0.266782:0.384011:0.266782:0.369137:0.257769:0.369137:0.000000
x:@0.292279:0.384011:0.299064:0.384011:0.299064:0.369137:0.292279:0.369137:0.000000
y:@0.324561:0.384011:0.331363:0.384011:0.331363:0.369137:0.324561:0.369137:0.000000
a las siguientes restricciones::@0.102309:0.399099:0.292630:0.399099:0.292630:0.384200:0.102309:0.384200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.182223:0.421593:0.190317:0.421593:0.190317:0.406843:0.182223:0.406843:0.000000
18,:@0.238809:0.421593:0.257517:0.421593:0.257517:0.406843:0.238809:0.406843:0.000000:0.000000:0.000000
2:@0.182223:0.440513:0.190317:0.440513:0.190317:0.425763:0.182223:0.425763:0.000000
3:@0.214216:0.440513:0.222309:0.440513:0.222309:0.425763:0.214216:0.425763:0.000000
42,:@0.248045:0.440513:0.266753:0.440513:0.266753:0.425763:0.248045:0.425763:0.000000:0.000000:0.000000
0:@0.207864:0.459433:0.215957:0.459433:0.215957:0.444683:0.207864:0.444683:0.000000
0:@0.207864:0.478353:0.215957:0.478353:0.215957:0.463603:0.207864:0.463603:0.000000
     ( ):@0.259874:0.422303:0.301865:0.422303:0.301865:0.405947:0.259874:0.405947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   ( ):@0.269112:0.441222:0.302480:0.441222:0.302480:0.424867:0.269112:0.424867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
                ( ):@0.216770:0.460142:0.303333:0.460142:0.303333:0.443787:0.216770:0.443787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
                ( ):@0.216770:0.479062:0.305076:0.479062:0.305076:0.462707:0.216770:0.462707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.191459:0.421593:0.198176:0.421593:0.198176:0.406868:0.191459:0.406868:0.000000
y:@0.215540:0.421593:0.222274:0.421593:0.222274:0.406868:0.215540:0.406868:0.000000
a:@0.287439:0.421593:0.295781:0.421593:0.295781:0.406868:0.287439:0.406868:0.000000
x:@0.191459:0.440513:0.198176:0.440513:0.198176:0.425788:0.191459:0.425788:0.000000
y:@0.223070:0.440513:0.229803:0.440513:0.229803:0.425788:0.223070:0.425788:0.000000
b:@0.288043:0.440513:0.296385:0.440513:0.296385:0.425788:0.288043:0.425788:0.000000
x:@0.183548:0.459433:0.190265:0.459433:0.190265:0.444708:0.183548:0.444708:0.000000
c:@0.289940:0.459433:0.296839:0.459433:0.296839:0.444708:0.289940:0.444708:0.000000
y:@0.183548:0.478353:0.190281:0.478353:0.190281:0.463628:0.183548:0.463628:0.000000
d:@0.289940:0.478353:0.298282:0.478353:0.298282:0.463628:0.289940:0.463628:0.000000
+ ≤:@0.202154:0.422128:0.236269:0.422128:0.236269:0.405910:0.202154:0.405910:0.000000:0.000000:0.000000
+:@0.202154:0.441048:0.211259:0.441048:0.211259:0.424829:0.202154:0.424829:0.000000
≤:@0.234710:0.441048:0.243815:0.441048:0.243815:0.424829:0.234710:0.424829:0.000000
≥:@0.195171:0.459968:0.204277:0.459968:0.204277:0.443749:0.195171:0.443749:0.000000
≥:@0.195171:0.478888:0.204277:0.478888:0.204277:0.462669:0.195171:0.462669:0.000000
⎧:@0.173980:0.421598:0.182172:0.421598:0.182172:0.405379:0.173980:0.405379:0.000000
⎨:@0.173980:0.451762:0.182172:0.451762:0.182172:0.435543:0.173980:0.435543:0.000000
⎪:@0.173980:0.433726:0.182172:0.433726:0.182172:0.417507:0.173980:0.417507:0.000000
⎪:@0.173980:0.442314:0.182172:0.442314:0.182172:0.426095:0.173980:0.426095:0.000000
⎩:@0.173980:0.481923:0.182172:0.481923:0.182172:0.465704:0.173980:0.465704:0.000000
⎪:@0.173980:0.463888:0.182172:0.463888:0.182172:0.447670:0.173980:0.447670:0.000000
⎪:@0.173980:0.476012:0.182172:0.476012:0.182172:0.459793:0.173980:0.459793:0.000000
Paso 3.:@0.389660:0.286358:0.441911:0.286358:0.441911:0.270780:0.389660:0.270780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Graficamos el sistema de inecuaciones :@0.441911:0.286358:0.706243:0.286358:0.706243:0.271459:0.441911:0.271459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.472635:0.286358:0.476303:0.286358:0.476303:0.271459:0.472635:0.271459:0.000000
o restricciones.:@0.389660:0.301445:0.488548:0.301445:0.488548:0.286546:0.389660:0.286546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 4.:@0.102306:0.501570:0.154557:0.501570:0.154557:0.485992:0.102306:0.485992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Soluciones factibles:@0.154557:0.501570:0.289847:0.501570:0.289847:0.486671:0.154557:0.486671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.102306:0.523787:0.107550:0.523787:0.107550:0.508422:0.102306:0.508422:0.000000
  La condición ( ) representa una recta con pendiente :@0.107550:0.523787:0.469740:0.523787:0.469740:0.508888:0.107550:0.508888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.210282:0.523787:0.218708:0.523787:0.218708:0.508913:0.210282:0.508913:0.000000
m:@0.469740:0.523787:0.483041:0.523787:0.483041:0.508913:0.469740:0.508913:0.000000
1:@0.483043:0.526661:0.487809:0.526661:0.487809:0.517975:0.483043:0.517975:0.000000
 = –2 y corta los ejes en los :@0.487809:0.523785:0.669891:0.523785:0.669891:0.508886:0.487809:0.508886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos (0,18) y (9, 0).:@0.116559:0.538873:0.253342:0.538873:0.253342:0.523974:0.116559:0.523974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.102319:0.561089:0.107563:0.561089:0.107563:0.545725:0.102319:0.545725:0.000000
  La condición ( ) representa una recta con pendiente :@0.107563:0.561089:0.469753:0.561089:0.469753:0.546190:0.107563:0.546190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.210295:0.561089:0.218722:0.561089:0.218722:0.546216:0.210295:0.546216:0.000000
m:@0.469753:0.561089:0.483055:0.561089:0.483055:0.546216:0.469753:0.546216:0.000000
2:@0.483043:0.563964:0.487809:0.563964:0.487809:0.555278:0.483043:0.555278:0.000000
 = –2/3 y corta los ejes en los :@0.487809:0.561088:0.683946:0.561088:0.683946:0.546189:0.487809:0.546189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos (0,14) y (21, 0).:@0.116559:0.576176:0.261517:0.576176:0.261517:0.561277:0.116559:0.561277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.102319:0.598392:0.107563:0.598392:0.107563:0.583028:0.102319:0.583028:0.000000
  Las condiciones ( ) y ( ) nos indican que las soluciones factibles son positivas.:@0.107563:0.598392:0.631712:0.598392:0.631712:0.583493:0.107563:0.583493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.230918:0.598392:0.237887:0.598392:0.237887:0.583518:0.230918:0.583518:0.000000
d:@0.261474:0.598392:0.269900:0.598392:0.269900:0.583518:0.261474:0.583518:0.000000
Paso 5.:@0.102319:0.616372:0.154570:0.616372:0.154570:0.600794:0.102319:0.600794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Vértices de la región factible:@0.154570:0.616372:0.345343:0.616372:0.345343:0.601473:0.154570:0.601473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los vértices  ,  ,   están determinados así   = (0, 0),   = (0, 14),   = (9, 0). :@0.102319:0.638588:0.588807:0.638588:0.588807:0.623689:0.102319:0.623689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B D:@0.183518:0.638588:0.224210:0.638588:0.224210:0.623714:0.183518:0.623714:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.385953:0.638588:0.394949:0.638588:0.394949:0.623714:0.385953:0.623714:0.000000
B:@0.450667:0.638588:0.458708:0.638588:0.458708:0.623714:0.450667:0.623714:0.000000
D:@0.522602:0.638588:0.533089:0.638588:0.533089:0.623714:0.522602:0.623714:0.000000
El vértice   se obtiene al resolver el siguiente sistema de ecuaciones:  :@0.102319:0.672875:0.564528:0.672875:0.564528:0.657976:0.102319:0.657976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.166195:0.672875:0.175207:0.672875:0.175207:0.658001:0.166195:0.658001:0.000000
2  +   = 18:@0.571956:0.663596:0.644712:0.663596:0.644712:0.648697:0.571956:0.648697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.580131:0.663596:0.586916:0.663596:0.586916:0.648722:0.580131:0.648722:0.000000
y:@0.604238:0.663596:0.611039:0.663596:0.611039:0.648722:0.604238:0.648722:0.000000
2  + 3  = 42:@0.571956:0.682242:0.652887:0.682242:0.652887:0.667343:0.571956:0.667343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.580131:0.682242:0.586916:0.682242:0.586916:0.667368:0.580131:0.667368:0.000000
y:@0.612413:0.682242:0.619215:0.682242:0.619215:0.667368:0.612413:0.667368:0.000000
cuya solución es:   = 3,   = 12,   = (3, 12):@0.102309:0.687970:0.370666:0.687970:0.370666:0.673071:0.102309:0.673071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.218420:0.687970:0.225204:0.687970:0.225204:0.673096:0.218420:0.673096:0.000000
y:@0.257285:0.687970:0.264087:0.687970:0.264087:0.673096:0.257285:0.673096:0.000000
C:@0.304343:0.687970:0.313356:0.687970:0.313356:0.673096:0.304343:0.673096:0.000000
Paso 6.:@0.102309:0.712600:0.154560:0.712600:0.154560:0.697023:0.102309:0.697023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Valor óptimo:@0.154560:0.712600:0.243850:0.712600:0.243850:0.697701:0.154560:0.697701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos   = 5  + 3  en los vértices del polígono.:@0.102309:0.734817:0.446783:0.734817:0.446783:0.719918:0.102309:0.719918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.183022:0.734817:0.192035:0.734817:0.192035:0.719943:0.183022:0.719943:0.000000
x:@0.217532:0.734817:0.224317:0.734817:0.224317:0.719943:0.217532:0.719943:0.000000
y:@0.249814:0.734817:0.256615:0.734817:0.256615:0.719943:0.249814:0.719943:0.000000
A = (0, 0):@0.332144:0.758307:0.391079:0.758307:0.391079:0.743408:0.332144:0.743408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C = 0:@0.435037:0.758307:0.470083:0.758307:0.470083:0.743408:0.435037:0.743408:0.000000:0.000000:0.000000:0.000000:0.000000
B = (0, 14):@0.332144:0.778034:0.397914:0.778034:0.397914:0.763135:0.332144:0.763135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C = 42:@0.430950:0.778034:0.474171:0.778034:0.474171:0.763135:0.430950:0.763135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C = (3, 12):@0.332144:0.797761:0.399003:0.797761:0.399003:0.782862:0.332144:0.782862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C = 51:@0.430950:0.797761:0.474171:0.797761:0.474171:0.782862:0.430950:0.782862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D = (9, 0):@0.332144:0.817488:0.392117:0.817488:0.392117:0.802589:0.332144:0.802589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C = 45:@0.430950:0.817488:0.474171:0.817488:0.474171:0.802589:0.430950:0.802589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De la tabla obtenemos que los valores   = 3,    = 12 proporcionan el valor máximo:@0.102318:0.843703:0.648206:0.843703:0.648206:0.828804:0.102318:0.828804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.360333:0.843703:0.367118:0.843703:0.367118:0.828829:0.360333:0.828829:0.000000
y:@0.402868:0.843703:0.409669:0.843703:0.409669:0.828829:0.402868:0.828829:0.000000
C:@0.102318:0.858791:0.111331:0.858791:0.111331:0.843917:0.102318:0.843917:0.000000
max:@0.111322:0.861687:0.127945:0.861687:0.127945:0.853015:0.111322:0.853015:0.000000:0.000000:0.000000
 = 5(3) + 3(12) = 51.:@0.127944:0.858811:0.257809:0.858811:0.257809:0.843912:0.127944:0.843912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 7.:@0.102313:0.881430:0.154563:0.881430:0.154563:0.865852:0.102313:0.865852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Interpretamos la solución.:@0.154563:0.881430:0.330931:0.881430:0.330931:0.866531:0.154563:0.866531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La máxima ganancia es $51 diarios cuando se producen 3 litro de jugo de naranja y 12 :@0.102313:0.903646:0.679761:0.903646:0.679761:0.888747:0.102313:0.888747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
litros de jugo de manzana.:@0.102313:0.918734:0.278280:0.918734:0.278280:0.903835:0.102313:0.903835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.749488:0.115810:0.906694:0.115810:0.906694:0.098909:0.749488:0.098909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e Historia:@0.754293:0.143892:0.912065:0.143892:0.912065:0.128528:0.754293:0.128528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El puente aéreo de Berlín:@0.754293:0.161280:0.928380:0.161280:0.928380:0.146168:0.754293:0.146168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En 1946 comienza el largo :@0.754293:0.178669:0.932838:0.178669:0.932838:0.163770:0.754293:0.163770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
período de la ‘Guerra Fría’ :@0.754293:0.192499:0.924460:0.192499:0.924460:0.177600:0.754293:0.177600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre la antigua Unión :@0.754293:0.206329:0.907024:0.206329:0.907024:0.191430:0.754293:0.191430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Soviética (URSS) y las :@0.754293:0.220160:0.896755:0.220160:0.896755:0.205261:0.754293:0.205261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencias aliadas :@0.754293:0.233990:0.872028:0.233990:0.872028:0.219091:0.754293:0.219091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(principalmente Inglaterra :@0.754293:0.247820:0.932099:0.247820:0.932099:0.232921:0.754293:0.232921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Estados Unidos). Uno de :@0.754293:0.261651:0.931332:0.261651:0.931332:0.246752:0.754293:0.246752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los episodios más :@0.754293:0.275481:0.875396:0.275481:0.875396:0.260582:0.754293:0.260582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llamativos de ese :@0.754293:0.289311:0.872363:0.289311:0.872363:0.274412:0.754293:0.274412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conflicto fue cuando la :@0.754293:0.303142:0.910959:0.303142:0.910959:0.288243:0.754293:0.288243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
URSS bloqueó las :@0.754293:0.316972:0.873921:0.316972:0.873921:0.302073:0.754293:0.302073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicaciones terrestres :@0.754293:0.330802:0.933123:0.330802:0.933123:0.315903:0.754293:0.315903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre las zonas alemanas :@0.754293:0.344632:0.923339:0.344632:0.923339:0.329733:0.754293:0.329733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en poder de los aliados :@0.754293:0.358463:0.912569:0.358463:0.912569:0.343564:0.754293:0.343564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con la ciudad de Berlín, :@0.754293:0.372293:0.912752:0.372293:0.912752:0.357394:0.754293:0.357394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bloqueando esa ciudad. :@0.754293:0.386123:0.918129:0.386123:0.918129:0.371224:0.754293:0.371224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dadas las circunstancias, :@0.754293:0.403512:0.920759:0.403512:0.920759:0.388613:0.754293:0.388613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los aliados organizaron un :@0.754293:0.417342:0.932000:0.417342:0.932000:0.402443:0.754293:0.402443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gigantesco puente aéreo :@0.754293:0.431173:0.925283:0.431173:0.925283:0.416273:0.754293:0.416273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para abastecer la ciudad. :@0.754293:0.445003:0.922400:0.445003:0.922400:0.430104:0.754293:0.430104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la planificación de los :@0.754293:0.458833:0.921247:0.458833:0.921247:0.443934:0.754293:0.443934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suministros se utilizó:@0.754293:0.472663:0.892347:0.472663:0.892347:0.457764:0.754293:0.457764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la programación lineal. :@0.754293:0.486494:0.909133:0.486494:0.909133:0.471595:0.754293:0.471595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–5:@0.463446:0.443068:0.477022:0.443068:0.477022:0.430978:0.463446:0.430978:0.000000:0.000000
5:@0.470147:0.407200:0.477022:0.407200:0.477022:0.395109:0.470147:0.395109:0.000000
10:@0.463272:0.389849:0.477022:0.389849:0.477022:0.377759:0.463272:0.377759:0.000000:0.000000
15:@0.463272:0.371190:0.477022:0.371190:0.477022:0.359100:0.463272:0.359100:0.000000:0.000000
20:@0.463272:0.353186:0.477022:0.353186:0.477022:0.341096:0.463272:0.341096:0.000000:0.000000
5:@0.502526:0.431863:0.509401:0.431863:0.509401:0.419773:0.502526:0.419773:0.000000
10 15 20 25 30 35:@0.522870:0.431863:0.656407:0.431863:0.656407:0.419773:0.522870:0.419773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–5 0:@0.451853:0.431863:0.476580:0.431863:0.476580:0.419773:0.451853:0.419773:0.000000:0.000000:0.000000:0.000000
–10:@0.424607:0.431863:0.445058:0.431863:0.445058:0.419773:0.424607:0.419773:0.000000:0.000000:0.000000
–15:@0.398232:0.431863:0.418683:0.431863:0.418683:0.419773:0.398232:0.419773:0.000000:0.000000:0.000000
y:@0.470035:0.320357:0.475206:0.320357:0.475206:0.309769:0.470035:0.309769:0.000000
x:@0.666984:0.430265:0.672156:0.430265:0.672156:0.419677:0.666984:0.419677:0.000000
B = (0, 14):@0.416631:0.380513:0.474497:0.380513:0.474497:0.366912:0.416631:0.366912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C = (3, 12):@0.505994:0.376191:0.564433:0.376191:0.564433:0.362589:0.505994:0.362589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = (0, 0):@0.424818:0.419190:0.476382:0.419190:0.476382:0.405589:0.424818:0.405589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D = (9, 0):@0.525699:0.417663:0.578077:0.417663:0.578077:0.404061:0.525699:0.404061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Jugos:@0.315068:0.179802:0.357200:0.179802:0.357200:0.164437:0.315068:0.164437:0.000000:0.000000:0.000000:0.000000:0.000000
Fruta (kg):@0.434295:0.179802:0.503900:0.179802:0.503900:0.164437:0.434295:0.164437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Envases (botellas):@0.537657:0.179802:0.666465:0.179802:0.666465:0.164437:0.537657:0.164437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Jugo de naranja ( ):@0.269652:0.204746:0.395563:0.204746:0.395563:0.189847:0.269652:0.189847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.384339:0.204746:0.391124:0.204746:0.391124:0.189873:0.384339:0.189873:0.000000
2 kg:@0.454984:0.204746:0.483212:0.204746:0.483212:0.189847:0.454984:0.189847:0.000000:0.000000:0.000000:0.000000
2 botellas:@0.569989:0.204746:0.634151:0.204746:0.634151:0.189847:0.569989:0.189847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Jugo de manzana ( ):@0.269652:0.229691:0.407525:0.229691:0.407525:0.214792:0.269652:0.214792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.396284:0.229691:0.403085:0.229691:0.403085:0.214817:0.396284:0.214817:0.000000
1 kg:@0.454984:0.229691:0.483212:0.229691:0.483212:0.214792:0.454984:0.214792:0.000000:0.000000:0.000000:0.000000
3 botellas:@0.569989:0.229691:0.634151:0.229691:0.634151:0.214792:0.569989:0.214792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Total diario:@0.269652:0.254636:0.342943:0.254636:0.342943:0.239737:0.269652:0.239737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
18 kg:@0.450897:0.254636:0.487298:0.254636:0.487298:0.239737:0.450897:0.239737:0.000000:0.000000:0.000000:0.000000:0.000000
42 botellas:@0.565902:0.254636:0.638237:0.254636:0.638237:0.239737:0.565902:0.239737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.947692:0.577752:0.947692:0.534927:0.935781:0.534927:0.935781:0.577752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000