﻿150:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
M.5.2.25. Reconocer un subconjunto convexo en   y determinar el conjunto de soluciones factibles, de forma gráfica y analítica, para resolver problemas de programación :@0.148948:0.943402:0.888550:0.943402:0.888550:0.933360:0.148948:0.933360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.361581:0.942813:0.370048:0.942813:0.370048:0.934628:0.361581:0.934628:0.000000
2:@0.370024:0.939536:0.373039:0.939536:0.373039:0.933681:0.370024:0.933681:0.000000
lineal simple (minimización en un conjunto de soluciones factibles de un funcional lineal definido en  ).:@0.148955:0.952203:0.603844:0.952203:0.603844:0.942161:0.148955:0.942161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.587068:0.951614:0.595535:0.951614:0.595535:0.943429:0.587068:0.943429:0.000000
2:@0.595528:0.948337:0.598543:0.948337:0.598543:0.942482:0.595528:0.942482:0.000000
Problema de la programación lineal. :@0.404235:0.117192:0.867556:0.117192:0.867556:0.072532:0.404235:0.072532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto de soluciones factibles:@0.404235:0.154911:0.793024:0.154911:0.793024:0.110251:0.404235:0.110251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las variables que intervienen en los problemas de programación li-:@0.404236:0.184672:0.891778:0.184672:0.891778:0.168174:0.404236:0.168174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neal son no negativas. Escribimos   ≥ 0,   ≥ 0, para cada una de estas :@0.404236:0.202022:0.895918:0.202022:0.895918:0.185525:0.404236:0.185525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.645508:0.202138:0.652983:0.202138:0.652983:0.185669:0.645508:0.185669:0.000000
y:@0.687815:0.202138:0.695502:0.202138:0.695502:0.185669:0.687815:0.185669:0.000000
variables, y las asociamos a un subconjunto de  . Así,:@0.404236:0.219373:0.787392:0.219373:0.787392:0.202876:0.404236:0.202876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.737269:0.218286:0.750574:0.218286:0.750574:0.205424:0.737269:0.205424:0.000000
2:@0.750574:0.213020:0.755527:0.213020:0.755527:0.203402:0.750574:0.203402:0.000000
S:@0.473850:0.251169:0.481729:0.251169:0.481729:0.234700:0.473850:0.234700:0.000000
1:@0.481731:0.254334:0.486684:0.254334:0.486684:0.244716:0.481731:0.244716:0.000000
 = {( ,  )     |   ≥ 0};    = {( ,  )     |   ≥ 0}; :@0.486685:0.251057:0.826298:0.251057:0.826298:0.234560:0.486685:0.234560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.517586:0.251173:0.539645:0.251173:0.539645:0.234704:0.517586:0.234704:0.000000:0.000000:0.000000
:@0.549737:0.250539:0.564390:0.250539:0.564390:0.237165:0.549737:0.237165:0.000000
R:@0.568532:0.249970:0.581837:0.249970:0.581837:0.237108:0.568532:0.237108:0.000000
2:@0.581837:0.244704:0.586790:0.244704:0.586790:0.235086:0.581837:0.235086:0.000000
y:@0.600082:0.251173:0.607769:0.251173:0.607769:0.234704:0.600082:0.234704:0.000000
S:@0.652252:0.251173:0.660132:0.251173:0.660132:0.234704:0.652252:0.234704:0.000000
2:@0.660131:0.254334:0.665084:0.254334:0.665084:0.244716:0.660131:0.244716:0.000000
x y:@0.695986:0.251173:0.718045:0.251173:0.718045:0.234704:0.695986:0.234704:0.000000:0.000000:0.000000
:@0.728137:0.250539:0.742790:0.250539:0.742790:0.237165:0.728137:0.237165:0.000000
R:@0.746932:0.249970:0.760236:0.249970:0.760236:0.237108:0.746932:0.237108:0.000000
2:@0.760236:0.244704:0.765190:0.244704:0.765190:0.235086:0.760236:0.235086:0.000000
x:@0.778481:0.251173:0.785956:0.251173:0.785956:0.234704:0.778481:0.234704:0.000000
Representación gráfica::@0.404235:0.282737:0.568086:0.282737:0.568086:0.266239:0.404235:0.266239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.115710:0.307805:0.115710:0.307805:0.100238:0.199646:0.100238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo identificas un :@0.199884:0.144338:0.341077:0.144338:0.341077:0.129274:0.199884:0.129274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto del plano cartesiano?:@0.153341:0.160180:0.333390:0.160180:0.333390:0.145116:0.153341:0.145116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199170:0.207331:0.363018:0.207331:0.363018:0.191858:0.199170:0.191858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un problema de pro-:@0.199408:0.235958:0.355095:0.235958:0.355095:0.220895:0.199408:0.220895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gramación lineal, ¿las variables :@0.152865:0.251800:0.350383:0.251800:0.350383:0.236737:0.152865:0.236737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que intervienen pueden ser :@0.152865:0.267642:0.334566:0.267642:0.334566:0.252579:0.152865:0.252579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negativas? Explica.:@0.152865:0.283484:0.270771:0.283484:0.270771:0.268421:0.152865:0.268421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que…:@0.199644:0.465381:0.309404:0.465381:0.309404:0.449908:0.199644:0.449908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.153344:0.508536:0.160433:0.508536:0.160433:0.492839:0.153344:0.492839:0.000000
  Consideramos el sistema de :@0.160433:0.507889:0.353165:0.507889:0.353165:0.492826:0.160433:0.492826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coordenadas cartesianas, y lo :@0.169966:0.523731:0.361538:0.523731:0.361538:0.508668:0.169966:0.508668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominamos: :@0.169966:0.539573:0.271178:0.539573:0.271178:0.524510:0.169966:0.524510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.186395:0.561541:0.198490:0.561541:0.198490:0.549848:0.186395:0.549848:0.000000
2:@0.198490:0.556743:0.203012:0.556743:0.203012:0.547961:0.198490:0.547961:0.000000
 = {( ,  ) |  ,   :@0.203013:0.562543:0.292863:0.562543:0.292863:0.547480:0.203013:0.547480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y x y:@0.231227:0.562649:0.289081:0.562649:0.289081:0.547612:0.231227:0.547612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.292860:0.562195:0.311002:0.562195:0.311002:0.549458:0.292860:0.549458:0.000000:0.000000
R:@0.311002:0.561541:0.323098:0.561541:0.323098:0.549848:0.311002:0.549848:0.000000
}:@0.323098:0.562543:0.328445:0.562543:0.328445:0.547480:0.323098:0.547480:0.000000
  e identificamos cada punto :@0.153336:0.585514:0.351625:0.585514:0.351625:0.570451:0.153336:0.570451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del plano con un par ordena-:@0.169959:0.601356:0.359736:0.601356:0.359736:0.586293:0.169959:0.586293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do ( ,  ) :@0.169959:0.617198:0.226177:0.617198:0.226177:0.602135:0.169959:0.602135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.196819:0.617304:0.216959:0.617304:0.216959:0.602267:0.196819:0.602267:0.000000:0.000000:0.000000
 :@0.226180:0.616848:0.244323:0.616848:0.244323:0.604112:0.226180:0.604112:0.000000:0.000000
R:@0.244323:0.616194:0.256418:0.616194:0.256418:0.604502:0.244323:0.604502:0.000000
2:@0.256418:0.611398:0.260941:0.611398:0.260941:0.602616:0.256418:0.602616:0.000000
.:@0.260941:0.617197:0.263457:0.617197:0.263457:0.602134:0.260941:0.602134:0.000000
•:@0.153343:0.640815:0.160432:0.640815:0.160432:0.625118:0.153343:0.625118:0.000000
  El conjunto de soluciones :@0.160432:0.640168:0.340462:0.640168:0.340462:0.625105:0.160432:0.625105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factibles siempre se determi-:@0.169966:0.656010:0.355380:0.656010:0.355380:0.640947:0.169966:0.640947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
na en el primer cuadrante.:@0.169966:0.671852:0.339672:0.671852:0.339672:0.656789:0.169966:0.656789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.404236:0.552039:0.534891:0.552039:0.534891:0.535252:0.404236:0.535252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  + 5  ≤ 6,     ( ,  )    ,:@0.655917:0.569014:0.836126:0.569014:0.836126:0.552516:0.655917:0.552516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.664413:0.569129:0.671888:0.569129:0.671888:0.552660:0.664413:0.552660:0.000000
y:@0.699476:0.569129:0.707163:0.569129:0.707163:0.552660:0.699476:0.552660:0.000000
x y:@0.764169:0.569129:0.786228:0.569129:0.786228:0.552660:0.764169:0.552660:0.000000:0.000000:0.000000
:@0.796319:0.568495:0.810972:0.568495:0.810972:0.555122:0.796319:0.555122:0.000000
R:@0.815114:0.567927:0.828419:0.567927:0.828419:0.555064:0.815114:0.555064:0.000000
2:@0.828419:0.562661:0.833372:0.562661:0.833372:0.553042:0.828419:0.553042:0.000000
( ):@0.859899:0.569014:0.880782:0.569014:0.880782:0.552516:0.859899:0.552516:0.000000:0.000000:0.000000
a:@0.865852:0.569129:0.874829:0.569129:0.874829:0.552660:0.865852:0.552660:0.000000
1.:@0.404237:0.586581:0.416509:0.586581:0.416509:0.569867:0.404237:0.569867:0.000000:0.000000
  Considerar las desigualdades :@0.416509:0.586364:0.634684:0.586364:0.634684:0.569867:0.416509:0.569867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.655918:0.586480:0.663393:0.586480:0.663393:0.570011:0.655918:0.570011:0.000000
 ≥ 0, :@0.663393:0.586364:0.697878:0.586364:0.697878:0.569867:0.663393:0.569867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.859899:0.586364:0.881071:0.586364:0.881071:0.569867:0.859899:0.569867:0.000000:0.000000:0.000000
b:@0.865852:0.586480:0.875118:0.586480:0.875118:0.570011:0.865852:0.570011:0.000000
y:@0.655918:0.603831:0.663605:0.603831:0.663605:0.587362:0.655918:0.587362:0.000000
 ≥ 0, :@0.663605:0.603715:0.698090:0.603715:0.698090:0.587217:0.663605:0.587217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.859899:0.603715:0.878991:0.603715:0.878991:0.587217:0.859899:0.587217:0.000000:0.000000:0.000000
c:@0.865852:0.603831:0.873038:0.603831:0.873038:0.587362:0.865852:0.587362:0.000000
 :@0.404237:0.635395:0.408379:0.635395:0.408379:0.618897:0.404237:0.618897:0.000000
Determinemos gráficamente el conjunto de soluciones factibles.:@0.427972:0.635395:0.884146:0.635395:0.884146:0.618897:0.427972:0.618897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404237:0.652745:0.408379:0.652745:0.408379:0.636248:0.404237:0.636248:0.000000
Las condiciones   ≥ 0,   ≥ 0 muestran que las soluciones factibles :@0.427972:0.652745:0.895900:0.652745:0.895900:0.636248:0.427972:0.636248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.545180:0.652861:0.552655:0.652861:0.552655:0.636392:0.545180:0.636392:0.000000
y:@0.587833:0.652861:0.595520:0.652861:0.595520:0.636392:0.587833:0.636392:0.000000
son no negativas. Comenzamos con la ecuación ( ,  )   :@0.427972:0.670096:0.845157:0.670101:0.845157:0.653603:0.427972:0.653598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.790737:0.670212:0.814529:0.670212:0.814529:0.653743:0.790737:0.653743:0.000000:0.000000:0.000000
:@0.826363:0.669582:0.841016:0.669582:0.841016:0.656209:0.826363:0.656209:0.000000
R:@0.846888:0.669014:0.860193:0.669014:0.860193:0.656151:0.846888:0.656151:0.000000
2:@0.860193:0.663748:0.865146:0.663748:0.865146:0.654129:0.860193:0.654129:0.000000
, tal :@0.865147:0.670101:0.895913:0.670101:0.895913:0.653603:0.865147:0.653603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que 2  + 5  = 6.:@0.427979:0.687451:0.540720:0.687451:0.540720:0.670954:0.427979:0.670954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.467627:0.687567:0.475102:0.687567:0.475102:0.671098:0.467627:0.671098:0.000000
y:@0.502690:0.687567:0.510377:0.687567:0.510377:0.671098:0.502690:0.671098:0.000000
 :@0.404245:0.719131:0.408387:0.719131:0.408387:0.702633:0.404245:0.702633:0.000000
Hemos visto que el conjunto   = {( ,  )     | 2  +  5  = 6}:@0.427979:0.719131:0.847135:0.719135:0.847135:0.702638:0.427979:0.702633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.637063:0.719247:0.644904:0.719247:0.644904:0.702778:0.637063:0.702778:0.000000
x y:@0.675806:0.719247:0.697864:0.719247:0.697864:0.702778:0.675806:0.702778:0.000000:0.000000:0.000000
:@0.707957:0.718617:0.722610:0.718617:0.722610:0.705243:0.707957:0.705243:0.000000
R:@0.726752:0.718048:0.740056:0.718048:0.740056:0.705186:0.726752:0.705186:0.000000
2:@0.740056:0.712782:0.745010:0.712782:0.745010:0.703164:0.740056:0.703164:0.000000
x:@0.766799:0.719251:0.774274:0.719251:0.774274:0.702782:0.766799:0.702782:0.000000
y:@0.806004:0.719251:0.813691:0.719251:0.813691:0.702782:0.806004:0.702782:0.000000
 :@0.404246:0.743614:0.408388:0.743614:0.408388:0.727117:0.404246:0.727117:0.000000
representa una recta de pendiente m = –      y corta a los ejes en:@0.427981:0.743614:0.883157:0.743614:0.883157:0.727117:0.427981:0.727117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404246:0.768093:0.408388:0.768093:0.408388:0.751596:0.404246:0.751596:0.000000
los puntos   = (3, 0) y   =   0,       .:@0.427981:0.768093:0.666406:0.768093:0.666406:0.751596:0.427981:0.751596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.506504:0.768209:0.517775:0.768209:0.517775:0.751740:0.506504:0.751740:0.000000
B:@0.588767:0.768209:0.597957:0.768209:0.597957:0.751740:0.588767:0.751740:0.000000
 :@0.404246:0.802795:0.408388:0.802795:0.408388:0.786297:0.404246:0.786297:0.000000
El conjunto:@0.427981:0.802795:0.509568:0.802795:0.509568:0.786297:0.427981:0.786297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  S:@0.439482:0.827390:0.455646:0.827390:0.455646:0.810921:0.439482:0.810921:0.000000:0.000000:0.000000
1:@0.455651:0.830550:0.460604:0.830550:0.460604:0.820932:0.455651:0.820932:0.000000
 =  ( ,  )     | 2  + 5  ≤ 6  =   ( ,  )     |   ≤              :@0.460605:0.827273:0.855141:0.827273:0.855141:0.810776:0.460605:0.810776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.479696:0.828011:0.485552:0.828011:0.485552:0.808213:0.479696:0.808213:0.000000
x y:@0.491505:0.827389:0.513564:0.827389:0.513564:0.810920:0.491505:0.810920:0.000000:0.000000:0.000000
:@0.523657:0.826755:0.538310:0.826755:0.538310:0.813381:0.523657:0.813381:0.000000
R:@0.542452:0.826186:0.555757:0.826186:0.555757:0.813324:0.542452:0.813324:0.000000
2:@0.555757:0.820920:0.560710:0.820920:0.560710:0.811302:0.555757:0.811302:0.000000
x:@0.582498:0.827389:0.589973:0.827389:0.589973:0.810920:0.582498:0.810920:0.000000
y:@0.617560:0.827389:0.625247:0.827389:0.625247:0.810920:0.617560:0.810920:0.000000
}:@0.652833:0.828011:0.658690:0.828011:0.658690:0.808213:0.652833:0.808213:0.000000
x y:@0.692019:0.827389:0.714078:0.827389:0.714078:0.810920:0.692019:0.810920:0.000000:0.000000:0.000000
:@0.724172:0.826755:0.738824:0.826755:0.738824:0.813381:0.724172:0.813381:0.000000
R:@0.742966:0.826186:0.756271:0.826186:0.756271:0.813324:0.742966:0.813324:0.000000
2:@0.756269:0.820920:0.761223:0.820920:0.761223:0.811302:0.756269:0.811302:0.000000
y:@0.774516:0.827389:0.782203:0.827389:0.782203:0.810920:0.774516:0.810920:0.000000
.:@0.855139:0.827273:0.856516:0.827273:0.856516:0.810776:0.855139:0.810776:0.000000
 :@0.404236:0.844624:0.408378:0.844624:0.408378:0.828126:0.404236:0.828126:0.000000
 :@0.404236:0.861975:0.408378:0.861975:0.408378:0.845477:0.404236:0.845477:0.000000
representa un semiplano que se extiende de la recta   hacia abajo. :@0.427971:0.861975:0.895939:0.861975:0.895939:0.845477:0.427971:0.845477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.798322:0.862090:0.806163:0.862090:0.806163:0.845622:0.798322:0.845622:0.000000
En la Figura 5.5., se muestra este conjunto de puntos que satisfa-:@0.427971:0.879326:0.891682:0.879326:0.891682:0.862828:0.427971:0.862828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cen las desigualdades ( ), ( ) y ( ) y al que denotamos con  . Nota :@0.427971:0.896676:0.895878:0.896676:0.895878:0.880179:0.427971:0.880179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.587329:0.896792:0.623876:0.896792:0.623876:0.880323:0.587329:0.880323:0.000000:0.000000:0.000000
c:@0.650885:0.896792:0.658071:0.896792:0.658071:0.880323:0.650885:0.880323:0.000000
S:@0.840954:0.896792:0.848834:0.896792:0.848834:0.880323:0.840954:0.880323:0.000000
que   está determinado por la región triangular de vértice 0,   y  .:@0.427971:0.914027:0.891817:0.914027:0.891817:0.897529:0.427971:0.897529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.458853:0.914143:0.466733:0.914143:0.466733:0.897674:0.458853:0.897674:0.000000
A B:@0.853036:0.914143:0.889062:0.914143:0.889062:0.897674:0.853036:0.897674:0.000000:0.000000:0.000000
S:@0.416109:0.431777:0.423303:0.431777:0.423303:0.416740:0.416109:0.416740:0.000000
1:@0.423302:0.434664:0.427825:0.434664:0.427825:0.425882:0.423302:0.425882:0.000000
 representa un :@0.427825:0.431671:0.524903:0.431671:0.524903:0.416608:0.427825:0.416608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
semiplano que se :@0.416110:0.447513:0.532678:0.447513:0.532678:0.432450:0.416110:0.432450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
extiende del eje    :@0.416110:0.463355:0.535617:0.463355:0.535617:0.448292:0.416110:0.448292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.521228:0.463461:0.528053:0.463461:0.528053:0.448424:0.521228:0.448424:0.000000
hacia arriba, según la :@0.416110:0.479197:0.553750:0.479197:0.553750:0.464134:0.416110:0.464134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dirección del eje  .:@0.416110:0.495039:0.534841:0.495039:0.534841:0.479976:0.416110:0.479976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.525307:0.495145:0.532326:0.495145:0.532326:0.480108:0.525307:0.480108:0.000000
S:@0.578624:0.431777:0.585819:0.431777:0.585819:0.416740:0.578624:0.416740:0.000000
2:@0.585814:0.434664:0.590336:0.434664:0.590336:0.425882:0.585814:0.425882:0.000000
 representa un :@0.590335:0.431671:0.687413:0.431671:0.687413:0.416608:0.590335:0.416608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
semiplano que se ex-:@0.578620:0.447513:0.714837:0.447513:0.714837:0.432450:0.578620:0.432450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiende del eje    hacia :@0.578620:0.463355:0.721187:0.463355:0.721187:0.448292:0.578620:0.448292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.669156:0.463461:0.676174:0.463461:0.676174:0.448424:0.669156:0.448424:0.000000
la derecha, según la :@0.578620:0.479197:0.707976:0.479197:0.707976:0.464134:0.578620:0.464134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parte positiva del :@0.578620:0.495039:0.694115:0.495039:0.694115:0.479976:0.578620:0.479976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje  .:@0.578620:0.510881:0.609913:0.510881:0.609913:0.495818:0.578620:0.495818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.600573:0.510987:0.607398:0.510987:0.607398:0.495950:0.600573:0.495950:0.000000
El conjunto   =       :@0.741134:0.431671:0.883669:0.431671:0.883669:0.416608:0.741134:0.416608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.812022:0.431777:0.819217:0.431777:0.819217:0.416740:0.812022:0.416740:0.000000
3:@0.818597:0.434664:0.823119:0.434664:0.823119:0.425882:0.818597:0.425882:0.000000
S:@0.838344:0.431777:0.845539:0.431777:0.845539:0.416740:0.838344:0.416740:0.000000
1:@0.844923:0.434664:0.849446:0.434664:0.849446:0.425882:0.844923:0.425882:0.000000
:@0.852252:0.431322:0.866207:0.431322:0.866207:0.418586:0.852252:0.418586:0.000000
S:@0.868787:0.431777:0.875981:0.431777:0.875981:0.416740:0.868787:0.416740:0.000000
2:@0.875366:0.434664:0.879888:0.434664:0.879888:0.425882:0.875366:0.425882:0.000000
es   = {( ,  )     | :@0.741137:0.447513:0.873813:0.447513:0.873813:0.432450:0.741137:0.432450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.758041:0.447619:0.765235:0.447619:0.765235:0.432582:0.758041:0.432582:0.000000
3:@0.765229:0.450506:0.769751:0.450506:0.769751:0.441724:0.765229:0.441724:0.000000
x y:@0.797964:0.447619:0.818105:0.447619:0.818105:0.432582:0.797964:0.432582:0.000000:0.000000:0.000000
:@0.827321:0.447164:0.841276:0.447164:0.841276:0.434428:0.827321:0.434428:0.000000
R:@0.845057:0.446510:0.857152:0.446510:0.857152:0.434817:0.845057:0.434817:0.000000
2:@0.857152:0.441714:0.861675:0.441714:0.861675:0.432932:0.857152:0.432932:0.000000
x:@0.741131:0.463461:0.747956:0.463461:0.747956:0.448424:0.741131:0.448424:0.000000
 ≥ 0,   ≥ 0}, y :@0.747956:0.463355:0.834217:0.463355:0.834217:0.448292:0.747956:0.448292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.779442:0.463461:0.786461:0.463461:0.786461:0.448424:0.779442:0.448424:0.000000
representa la inter-:@0.741131:0.479197:0.861904:0.479197:0.861904:0.464134:0.741131:0.464134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sección de los dos :@0.741131:0.495039:0.862639:0.495039:0.862639:0.479976:0.741131:0.479976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
semiplanos.:@0.741131:0.510881:0.816854:0.510881:0.816854:0.495818:0.741131:0.495818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.416109:0.406385:0.427589:0.406385:0.427589:0.396360:0.416109:0.396360:0.000000
 :@0.427589:0.407093:0.430470:0.407093:0.430470:0.395616:0.427589:0.395616:0.000000
Figura 5.2.:@0.430470:0.407093:0.479039:0.407093:0.479039:0.395616:0.430470:0.395616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.574399:0.406385:0.585879:0.406385:0.585879:0.396360:0.574399:0.396360:0.000000
 :@0.585879:0.407093:0.588760:0.407093:0.588760:0.395616:0.585879:0.395616:0.000000
Figura 5.3.:@0.588760:0.407093:0.637329:0.407093:0.637329:0.395616:0.588760:0.395616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.732689:0.406385:0.744169:0.406385:0.744169:0.396360:0.732689:0.396360:0.000000
 :@0.744169:0.407093:0.747051:0.407093:0.747051:0.395616:0.744169:0.395616:0.000000
Figura 5.4.:@0.747051:0.407093:0.795619:0.407093:0.795619:0.395616:0.747051:0.395616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.726763:0.736031:0.735259:0.736031:0.735259:0.719533:0.726763:0.719533:0.000000
5:@0.726763:0.752370:0.735259:0.752370:0.735259:0.735872:0.726763:0.735872:0.000000
6:@0.645219:0.761146:0.653715:0.761146:0.653715:0.744648:0.645219:0.744648:0.000000
5:@0.645219:0.777484:0.653715:0.777484:0.653715:0.760986:0.645219:0.760986:0.000000
6 – 2:@0.804742:0.818827:0.840518:0.818827:0.840518:0.802329:0.804742:0.802329:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.840518:0.818942:0.847993:0.818942:0.847993:0.802474:0.840518:0.802474:0.000000
5:@0.822120:0.835165:0.830616:0.835165:0.830616:0.818668:0.822120:0.818668:0.000000
p:@0.143847:0.881806:0.155327:0.881806:0.155327:0.871781:0.143847:0.871781:0.000000
 :@0.155327:0.882513:0.158209:0.882513:0.158209:0.871037:0.155327:0.871037:0.000000
Figura 5.5.:@0.158209:0.882513:0.206777:0.882513:0.206777:0.871037:0.158209:0.871037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.158795:0.809868:0.164932:0.809868:0.164932:0.796979:0.158795:0.796979:0.000000
B:@0.202685:0.823469:0.209877:0.823469:0.209877:0.810581:0.202685:0.810581:0.000000
A:@0.268873:0.847357:0.277694:0.847357:0.277694:0.834468:0.268873:0.834468:0.000000
0:@0.182855:0.863114:0.189873:0.863114:0.189873:0.849485:0.182855:0.849485:0.000000
x:@0.349292:0.864511:0.355896:0.864511:0.355896:0.850883:0.349292:0.850883:0.000000
1:@0.215088:0.863719:0.220998:0.863719:0.220998:0.852243:0.215088:0.852243:0.000000
1:@0.181758:0.836149:0.187668:0.836149:0.187668:0.824673:0.181758:0.824673:0.000000
2:@0.181758:0.818326:0.187668:0.818326:0.187668:0.806849:0.181758:0.806849:0.000000
3:@0.181758:0.800502:0.187668:0.800502:0.187668:0.789026:0.181758:0.789026:0.000000
4:@0.181758:0.782679:0.187668:0.782679:0.187668:0.771202:0.181758:0.771202:0.000000
2:@0.238836:0.863709:0.244747:0.863709:0.244747:0.852233:0.238836:0.852233:0.000000
3:@0.262585:0.863709:0.268495:0.863709:0.268495:0.852233:0.262585:0.852233:0.000000
y:@0.179903:0.764824:0.186365:0.764824:0.186365:0.751196:0.179903:0.751196:0.000000
S:@0.206993:0.843978:0.213160:0.843978:0.213160:0.831090:0.206993:0.831090:0.000000
S:@0.798380:0.347298:0.804546:0.347298:0.804546:0.334409:0.798380:0.334409:0.000000
3:@0.804545:0.349772:0.808421:0.349772:0.808421:0.342245:0.804545:0.342245:0.000000
0:@0.748915:0.384247:0.755933:0.384247:0.755933:0.370618:0.748915:0.370618:0.000000
x:@0.865093:0.386910:0.871698:0.386910:0.871698:0.373282:0.865093:0.373282:0.000000
y:@0.745955:0.318648:0.752416:0.318648:0.752416:0.305020:0.745955:0.305020:0.000000
S:@0.641400:0.347298:0.647566:0.347298:0.647566:0.334409:0.641400:0.334409:0.000000
2:@0.647566:0.349772:0.651443:0.349772:0.651443:0.342245:0.647566:0.342245:0.000000
0:@0.591937:0.375446:0.598955:0.375446:0.598955:0.361817:0.591937:0.361817:0.000000
x:@0.708115:0.378109:0.714719:0.378109:0.714719:0.364481:0.708115:0.364481:0.000000
y:@0.588977:0.318650:0.595438:0.318650:0.595438:0.305022:0.588977:0.305022:0.000000
x:@0.646355:0.379002:0.652205:0.379002:0.652205:0.366113:0.646355:0.366113:0.000000
 ≥ 0:@0.652205:0.378912:0.673796:0.378912:0.673796:0.366000:0.652205:0.366000:0.000000:0.000000:0.000000:0.000000
S:@0.460725:0.347295:0.466892:0.347295:0.466892:0.334407:0.460725:0.334407:0.000000
1:@0.466899:0.349772:0.470775:0.349772:0.470775:0.342245:0.466899:0.342245:0.000000
0:@0.468034:0.384247:0.475053:0.384247:0.475053:0.370618:0.468034:0.370618:0.000000
x:@0.547354:0.386910:0.553958:0.386910:0.553958:0.373282:0.547354:0.373282:0.000000
y:@0.465074:0.318648:0.471536:0.318648:0.471536:0.305020:0.465074:0.305020:0.000000
y:@0.502571:0.349100:0.508587:0.349100:0.508587:0.336211:0.502571:0.336211:0.000000
 ≥ 0:@0.508587:0.349009:0.530177:0.349009:0.530177:0.336098:0.508587:0.336098:0.000000:0.000000:0.000000:0.000000