91:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
1. :@0.120834:0.172028:0.139575:0.172028:0.139575:0.154892:0.120834:0.154892:0.000000:0.000000:0.000000
Sea la función objetivo   = 4  + 3 , sujeta a las :@0.154078:0.172028:0.496869:0.172028:0.496869:0.155639:0.154078:0.155639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.325234:0.172028:0.335148:0.172028:0.335148:0.155666:0.325234:0.155666:0.000000
x:@0.363268:0.172028:0.370731:0.172028:0.370731:0.155666:0.363268:0.155666:0.000000
y:@0.398852:0.172028:0.406334:0.172028:0.406334:0.155666:0.398852:0.155666:0.000000
siguientes restricciones.:@0.154078:0.188624:0.327644:0.188624:0.327644:0.172235:0.154078:0.172235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.120834:0.286778:0.124557:0.286778:0.124557:0.269642:0.120834:0.269642:0.000000
3:@0.193339:0.215775:0.202331:0.215775:0.202331:0.199387:0.193339:0.199387:0.000000
6,:@0.230561:0.215775:0.242557:0.215775:0.242557:0.199387:0.230561:0.199387:0.000000:0.000000
3:@0.166582:0.236798:0.175574:0.236798:0.175574:0.220409:0.166582:0.220409:0.000000
3,:@0.229822:0.236798:0.241818:0.236798:0.241818:0.220409:0.229822:0.220409:0.000000:0.000000
4:@0.167319:0.257820:0.176311:0.257820:0.176311:0.241431:0.167319:0.241431:0.000000
3:@0.203597:0.257820:0.212590:0.257820:0.212590:0.241431:0.203597:0.241431:0.000000
12,:@0.239301:0.257820:0.260087:0.257820:0.260087:0.241431:0.239301:0.241431:0.000000:0.000000:0.000000
0,:@0.195071:0.278842:0.207067:0.278842:0.207067:0.262453:0.195071:0.262453:0.000000:0.000000
0,:@0.237417:0.278842:0.249414:0.278842:0.249414:0.262453:0.237417:0.262453:0.000000:0.000000
       ( ):@0.245176:0.216564:0.301046:0.216564:0.301046:0.198391:0.245176:0.198391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.188695:0.237586:0.197909:0.237586:0.197909:0.219413:0.188695:0.219413:0.000000
       ( ):@0.244449:0.237586:0.299954:0.237586:0.299954:0.219413:0.244449:0.219413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   ( ):@0.262719:0.258608:0.299010:0.258608:0.299010:0.240435:0.262719:0.240435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     ( ):@0.252049:0.279630:0.299491:0.279630:0.299491:0.261457:0.252049:0.261457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.168074:0.215775:0.175537:0.215775:0.175537:0.199414:0.168074:0.199414:0.000000
y:@0.203197:0.215775:0.210679:0.215775:0.210679:0.199414:0.203197:0.199414:0.000000
a:@0.285022:0.215775:0.294291:0.215775:0.294291:0.199414:0.285022:0.199414:0.000000
x:@0.176440:0.236798:0.183904:0.236798:0.183904:0.220436:0.176440:0.220436:0.000000
y:@0.202829:0.236798:0.210310:0.236798:0.210310:0.220436:0.202829:0.220436:0.000000
b:@0.283921:0.236798:0.293191:0.236798:0.293191:0.220436:0.283921:0.220436:0.000000
x:@0.178320:0.257820:0.185783:0.257820:0.185783:0.241458:0.178320:0.241458:0.000000
y:@0.213443:0.257820:0.220925:0.257820:0.220925:0.241458:0.213443:0.241458:0.000000
c:@0.284117:0.257820:0.291783:0.257820:0.291783:0.241458:0.284117:0.241458:0.000000
x:@0.168056:0.278842:0.175519:0.278842:0.175519:0.262480:0.168056:0.262480:0.000000
y:@0.210403:0.278842:0.217884:0.278842:0.217884:0.262480:0.210403:0.262480:0.000000
d:@0.282648:0.278842:0.291917:0.278842:0.291917:0.262480:0.282648:0.262480:0.000000
+:@0.179942:0.216370:0.190058:0.216370:0.190058:0.198349:0.179942:0.198349:0.000000
≤:@0.216115:0.216370:0.226232:0.216370:0.226232:0.198349:0.216115:0.198349:0.000000
≤:@0.215747:0.237392:0.225863:0.237392:0.225863:0.219371:0.215747:0.219371:0.000000
+:@0.190206:0.258414:0.200323:0.258414:0.200323:0.240393:0.190206:0.240393:0.000000
≤:@0.226379:0.258414:0.236496:0.258414:0.236496:0.240393:0.226379:0.240393:0.000000
≥:@0.180992:0.279436:0.148744:0.279436:0.148744:0.261416:0.180992:0.261416:0.000000
≥:@0.223348:0.279436:0.191100:0.279436:0.191100:0.261416:0.223348:0.261416:0.000000
⎧:@0.157442:0.215789:0.166545:0.215789:0.166545:0.197768:0.157442:0.197768:0.000000
⎨:@0.157442:0.249300:0.166545:0.249300:0.166545:0.231279:0.157442:0.231279:0.000000
⎪:@0.157442:0.229260:0.166545:0.229260:0.166545:0.211239:0.157442:0.211239:0.000000
⎪:@0.157442:0.238803:0.166545:0.238803:0.166545:0.220782:0.157442:0.220782:0.000000
⎩:@0.157426:0.282810:0.166530:0.282810:0.166530:0.264789:0.157426:0.264789:0.000000
⎪:@0.157426:0.262771:0.166530:0.262771:0.166530:0.244750:0.157426:0.244750:0.000000
⎪:@0.157426:0.276242:0.166530:0.276242:0.166530:0.258221:0.157426:0.258221:0.000000
a) :@0.154074:0.310498:0.172797:0.310498:0.172797:0.293597:0.154074:0.293597:0.000000:0.000000:0.000000
Dibuja:@0.187318:0.310498:0.237902:0.310498:0.237902:0.293874:0.187318:0.293874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la región factible.:@0.237902:0.310498:0.367059:0.310498:0.367059:0.294109:0.237902:0.294109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.181160:0.130781:0.242055:0.130781:0.242055:0.096834:0.181160:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.8.1. Utiliza métodos gráficos y analíticos para la resolución de sistemas de ecuaciones lineales y de inecuaciones, para determinar :@0.262181:0.113525:0.882869:0.113525:0.882869:0.103096:0.262181:0.103096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el conjunto de soluciones factibles y la solución óptima de un problema de programación lineal. (I.3.) :@0.262181:0.124087:0.734360:0.124087:0.734360:0.113657:0.262181:0.113657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.547240:0.680420:0.564875:0.680420:0.564875:0.663519:0.547240:0.663519:0.000000:0.000000:0.000000
Completa:@0.580483:0.680420:0.655502:0.680420:0.655502:0.663796:0.580483:0.663796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla y:@0.655502:0.680420:0.729858:0.680420:0.729858:0.664031:0.655502:0.664031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 encuentra:@0.729858:0.680420:0.813666:0.680420:0.813666:0.663796:0.729858:0.663796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.813666:0.680420:0.817702:0.680420:0.817702:0.664031:0.813666:0.664031:0.000000
x, y:@0.819471:0.680420:0.842543:0.680420:0.842543:0.664059:0.819471:0.664059:0.000000:0.000000:0.000000:0.000000
 solu-:@0.842543:0.680420:0.884226:0.680420:0.884226:0.664031:0.842543:0.664031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones factibles, tales que, :@0.580483:0.697016:0.773748:0.697016:0.773748:0.680627:0.580483:0.680627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.773748:0.697016:0.783663:0.697016:0.783663:0.680655:0.773748:0.680655:0.000000
max:@0.783660:0.698923:0.801945:0.698923:0.801945:0.689384:0.783660:0.689384:0.000000:0.000000:0.000000
 = 2  – 3 .:@0.801945:0.697016:0.874421:0.697016:0.874421:0.680627:0.801945:0.680627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.829992:0.697016:0.837455:0.697016:0.837455:0.680655:0.829992:0.680655:0.000000
y:@0.863733:0.697016:0.871214:0.697016:0.871214:0.680655:0.863733:0.680655:0.000000
 :@0.547238:0.826067:0.551053:0.826067:0.551053:0.809166:0.547238:0.809166:0.000000
A:@0.587601:0.723603:0.596597:0.723603:0.596597:0.708729:0.587601:0.708729:0.000000
 =                   :@0.596597:0.723603:0.681867:0.723603:0.681867:0.708704:0.596597:0.708704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.613919:0.724219:0.619498:0.724219:0.619498:0.710062:0.613919:0.710062:0.000000
):@0.681867:0.724219:0.687446:0.724219:0.687446:0.710062:0.681867:0.710062:0.000000
C:@0.752998:0.723603:0.762010:0.723603:0.762010:0.708729:0.752998:0.708729:0.000000
 = :@0.762010:0.723603:0.779332:0.723603:0.779332:0.708704:0.762010:0.708704:0.000000:0.000000:0.000000
B:@0.587601:0.747555:0.595642:0.747555:0.595642:0.732681:0.587601:0.732681:0.000000
 =                   :@0.595642:0.747555:0.680912:0.747555:0.680912:0.732656:0.595642:0.732656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.612964:0.748171:0.618543:0.748171:0.618543:0.734014:0.612964:0.734014:0.000000
):@0.680912:0.748171:0.686491:0.748171:0.686491:0.734014:0.680912:0.734014:0.000000
C:@0.752998:0.747555:0.762010:0.747555:0.762010:0.732681:0.752998:0.732681:0.000000
 = :@0.762010:0.747555:0.779332:0.747555:0.779332:0.732656:0.762010:0.732656:0.000000:0.000000:0.000000
C:@0.587601:0.769243:0.596614:0.769243:0.596614:0.754369:0.587601:0.754369:0.000000
 =                   :@0.596614:0.769243:0.681884:0.769243:0.681884:0.754344:0.596614:0.754344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.613936:0.769859:0.619515:0.769859:0.619515:0.755702:0.613936:0.755702:0.000000
):@0.681884:0.769859:0.687462:0.769859:0.687462:0.755702:0.681884:0.755702:0.000000
C:@0.752998:0.770941:0.762010:0.770941:0.762010:0.756067:0.752998:0.756067:0.000000
 = :@0.762010:0.770941:0.779332:0.770941:0.779332:0.756041:0.762010:0.756041:0.000000:0.000000:0.000000
D:@0.587601:0.805252:0.598088:0.805252:0.598088:0.790378:0.587601:0.790378:0.000000
 =                    :@0.598088:0.805252:0.685740:0.805256:0.685740:0.790357:0.598088:0.790353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.752994:0.806249:0.762007:0.806249:0.762007:0.791375:0.752994:0.791375:0.000000
 = :@0.762007:0.806249:0.779329:0.806249:0.779329:0.791350:0.762007:0.791350:0.000000:0.000000:0.000000
 :@0.547240:0.849787:0.551275:0.849787:0.551275:0.833398:0.547240:0.833398:0.000000
____________________________________:@0.580483:0.849787:0.879932:0.849787:0.879932:0.832886:0.580483:0.832886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____________________________________:@0.580483:0.873506:0.879932:0.873506:0.879932:0.856605:0.580483:0.856605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____________________________________:@0.580483:0.897225:0.879932:0.897225:0.879932:0.880324:0.580483:0.880324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____________________________________:@0.580483:0.920944:0.879932:0.920944:0.879932:0.904043:0.580483:0.904043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.547240:0.517956:0.567271:0.517956:0.567271:0.501056:0.547240:0.501056:0.000000:0.000000:0.000000
Localiza :@0.580483:0.517956:0.645514:0.517956:0.645514:0.501332:0.580483:0.501332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los vértices de la región factible.:@0.645514:0.517956:0.878917:0.517956:0.878917:0.501568:0.645514:0.501568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.547240:0.656785:0.551054:0.656785:0.551054:0.639884:0.547240:0.639884:0.000000
2. :@0.513998:0.172028:0.532739:0.172028:0.532739:0.154892:0.513998:0.154892:0.000000:0.000000:0.000000
Sea la función objetivo   = 2  – 3 , sujeta a las :@0.547241:0.172028:0.888704:0.172028:0.888704:0.155639:0.547241:0.155639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.718543:0.172028:0.728457:0.172028:0.728457:0.155666:0.718543:0.155666:0.000000
x:@0.756651:0.172028:0.764114:0.172028:0.764114:0.155666:0.756651:0.155666:0.000000
y:@0.790540:0.172028:0.798021:0.172028:0.798021:0.155666:0.790540:0.155666:0.000000
siguientes restricciones.:@0.547241:0.188624:0.720808:0.188624:0.720808:0.172235:0.547241:0.172235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.513998:0.261939:0.517720:0.261939:0.517720:0.244803:0.513998:0.244803:0.000000
3:@0.559752:0.210745:0.568745:0.210745:0.568745:0.194356:0.559752:0.194356:0.000000
2:@0.594881:0.210745:0.603873:0.210745:0.603873:0.194356:0.594881:0.194356:0.000000
7,:@0.631736:0.210745:0.643732:0.210745:0.643732:0.194356:0.631736:0.194356:0.000000:0.000000
–2:@0.560121:0.231767:0.578327:0.231767:0.578327:0.215378:0.560121:0.215378:0.000000:0.000000
2:@0.604881:0.231767:0.613874:0.231767:0.613874:0.215378:0.604881:0.215378:0.000000
2,:@0.642155:0.231767:0.654151:0.231767:0.654151:0.215378:0.642155:0.215378:0.000000:0.000000
0,:@0.588241:0.252789:0.600238:0.252789:0.600238:0.236400:0.588241:0.236400:0.000000:0.000000
0,:@0.630588:0.252789:0.642584:0.252789:0.642584:0.236400:0.630588:0.236400:0.000000:0.000000
     ( ):@0.646343:0.211533:0.693000:0.211533:0.693000:0.193360:0.646343:0.193360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   ( ):@0.656755:0.232555:0.693832:0.232555:0.693832:0.214382:0.656755:0.214382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     ( ):@0.645183:0.253577:0.690688:0.253577:0.690688:0.235404:0.645183:0.235404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.569592:0.210745:0.577056:0.210745:0.577056:0.194384:0.569592:0.194384:0.000000
y:@0.605139:0.210745:0.612621:0.210745:0.612621:0.194384:0.605139:0.194384:0.000000
a:@0.676965:0.210745:0.686234:0.210745:0.686234:0.194384:0.676965:0.194384:0.000000
x:@0.579599:0.231767:0.587062:0.231767:0.587062:0.215406:0.579599:0.215406:0.000000
y:@0.615146:0.231767:0.622627:0.231767:0.622627:0.215406:0.615146:0.215406:0.000000
b:@0.677811:0.231767:0.687080:0.231767:0.687080:0.215406:0.677811:0.215406:0.000000
x:@0.561226:0.252789:0.568689:0.252789:0.568689:0.236428:0.561226:0.236428:0.000000
y:@0.603573:0.252789:0.611055:0.252789:0.611055:0.236428:0.603573:0.236428:0.000000
c:@0.675819:0.252789:0.683484:0.252789:0.683484:0.236428:0.675819:0.236428:0.000000
+:@0.581478:0.211340:0.591595:0.211340:0.591595:0.193319:0.581478:0.193319:0.000000
≤:@0.618076:0.211340:0.628192:0.211340:0.628192:0.193319:0.618076:0.193319:0.000000
+:@0.591484:0.232362:0.601601:0.232362:0.601601:0.214341:0.591484:0.214341:0.000000
≤:@0.628082:0.232362:0.638198:0.232362:0.638198:0.214341:0.628082:0.214341:0.000000
≥:@0.574162:0.253384:0.541914:0.253384:0.541914:0.235363:0.574162:0.235363:0.000000
≥:@0.616518:0.253384:0.584270:0.253384:0.584270:0.235363:0.616518:0.235363:0.000000
⎧:@0.550612:0.210787:0.559715:0.210787:0.559715:0.192766:0.550612:0.192766:0.000000
⎨:@0.550612:0.234519:0.559715:0.234519:0.559715:0.216498:0.550612:0.216498:0.000000
⎪:@0.550612:0.224036:0.559715:0.224036:0.559715:0.206015:0.550612:0.206015:0.000000
⎩:@0.550590:0.258255:0.559693:0.258255:0.559693:0.240234:0.550590:0.240234:0.000000
⎪:@0.550590:0.247999:0.559693:0.247999:0.559693:0.229978:0.550590:0.229978:0.000000
a) :@0.547240:0.280676:0.565962:0.280676:0.565962:0.263775:0.547240:0.263775:0.000000:0.000000:0.000000
Esboza:@0.580483:0.280676:0.634089:0.280676:0.634089:0.264052:0.580483:0.264052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la región factible.:@0.634089:0.280676:0.763247:0.280676:0.763247:0.264287:0.634089:0.264287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.153828:0.503164:0.173859:0.503164:0.173859:0.486264:0.153828:0.486264:0.000000:0.000000:0.000000
Encuentra:@0.187072:0.503164:0.263601:0.503164:0.263601:0.486540:0.187072:0.486540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los vértices de la región factible.:@0.263417:0.503164:0.493853:0.503164:0.493853:0.486775:0.263417:0.486775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153828:0.641993:0.157643:0.641993:0.157643:0.625092:0.153828:0.625092:0.000000
c) :@0.153820:0.672850:0.171455:0.672850:0.171455:0.655949:0.153820:0.655949:0.000000:0.000000:0.000000
Llena:@0.187063:0.672850:0.227714:0.672850:0.227714:0.656226:0.187063:0.656226:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla y :@0.227530:0.672850:0.304502:0.672850:0.304502:0.656461:0.227530:0.656461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
halla:@0.306308:0.672850:0.342261:0.672850:0.342261:0.656226:0.306308:0.656226:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.342076:0.672850:0.346112:0.672850:0.346112:0.656461:0.342076:0.656461:0.000000
x, y:@0.347881:0.672850:0.370556:0.672850:0.370556:0.656488:0.347881:0.656488:0.000000:0.000000:0.000000:0.000000
 soluciones facti-:@0.370372:0.672850:0.493874:0.672850:0.493874:0.656461:0.370372:0.656461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bles, tales que, :@0.187063:0.689446:0.294625:0.689446:0.294625:0.673057:0.187063:0.673057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.294441:0.689446:0.304355:0.689446:0.304355:0.673085:0.294441:0.673085:0.000000
max:@0.304164:0.691352:0.322234:0.691352:0.322234:0.681814:0.304164:0.681814:0.000000:0.000000:0.000000
 = 4x + 3y.:@0.322128:0.689446:0.394972:0.689446:0.394972:0.673057:0.322128:0.673057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153828:0.822729:0.157864:0.822729:0.157864:0.806340:0.153828:0.806340:0.000000
A:@0.194180:0.716033:0.203176:0.716033:0.203176:0.701159:0.194180:0.701159:0.000000
 =                   :@0.203176:0.716033:0.288445:0.716033:0.288445:0.701134:0.203176:0.701134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.220498:0.716649:0.226076:0.716649:0.226076:0.702492:0.220498:0.702492:0.000000
):@0.288445:0.716649:0.294024:0.716649:0.294024:0.702492:0.288445:0.702492:0.000000
C:@0.359576:0.716033:0.368589:0.716033:0.368589:0.701159:0.359576:0.701159:0.000000
 = :@0.368589:0.716033:0.385911:0.716033:0.385911:0.701134:0.368589:0.701134:0.000000:0.000000:0.000000
B:@0.194180:0.739984:0.202221:0.739984:0.202221:0.725111:0.194180:0.725111:0.000000
 =                   :@0.202221:0.739984:0.287490:0.739984:0.287490:0.725085:0.202221:0.725085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.219543:0.740601:0.225121:0.740601:0.225121:0.726443:0.219543:0.726443:0.000000
):@0.287490:0.740601:0.293069:0.740601:0.293069:0.726443:0.287490:0.726443:0.000000
C:@0.359576:0.739984:0.368589:0.739984:0.368589:0.725111:0.359576:0.725111:0.000000
 = :@0.368589:0.739984:0.385911:0.739984:0.385911:0.725085:0.368589:0.725085:0.000000:0.000000:0.000000
C:@0.194180:0.774875:0.203192:0.774875:0.203192:0.760001:0.194180:0.760001:0.000000
 =                   :@0.203192:0.774875:0.287177:0.774873:0.287177:0.759974:0.203192:0.759976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.359574:0.776258:0.368587:0.776258:0.368587:0.761384:0.359574:0.761384:0.000000
 = :@0.368587:0.776258:0.385909:0.776258:0.385909:0.761359:0.368587:0.761359:0.000000:0.000000:0.000000
D:@0.194178:0.812531:0.204665:0.812531:0.204665:0.797657:0.194178:0.797657:0.000000
 =                   :@0.204665:0.812531:0.289935:0.812531:0.289935:0.797632:0.204665:0.797632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.221987:0.813147:0.227565:0.813147:0.227565:0.798990:0.221987:0.798990:0.000000
):@0.289935:0.813147:0.295513:0.813147:0.295513:0.798990:0.289935:0.798990:0.000000
C:@0.359574:0.812531:0.368587:0.812531:0.368587:0.797657:0.359574:0.797657:0.000000
 = :@0.368587:0.812531:0.385909:0.812531:0.385909:0.797632:0.368587:0.797632:0.000000:0.000000:0.000000
 :@0.153820:0.846459:0.157855:0.846459:0.157855:0.830070:0.153820:0.830070:0.000000
____________________________________:@0.187063:0.846459:0.486512:0.846459:0.486512:0.829558:0.187063:0.829558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____________________________________:@0.187063:0.870178:0.486512:0.870178:0.486512:0.853277:0.187063:0.853277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____________________________________:@0.187063:0.893897:0.486512:0.893897:0.486512:0.876996:0.187063:0.876996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____________________________________:@0.187063:0.917616:0.486512:0.917616:0.486512:0.900715:0.187063:0.900715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.208754:0.460227:0.214254:0.460227:0.214254:0.450555:0.208754:0.450555:0.000000
2:@0.195567:0.341981:0.201067:0.341981:0.201067:0.332309:0.195567:0.332309:0.000000
1,5:@0.195567:0.369452:0.208786:0.369452:0.208786:0.359780:0.195567:0.359780:0.000000:0.000000:0.000000
1:@0.195567:0.397310:0.201067:0.397310:0.201067:0.387638:0.195567:0.387638:0.000000
0,5:@0.195567:0.424484:0.208786:0.424484:0.208786:0.414812:0.195567:0.414812:0.000000:0.000000:0.000000
–0,5:@0.188866:0.480401:0.207446:0.480401:0.207446:0.470729:0.188866:0.470729:0.000000:0.000000:0.000000:0.000000
–0,5:@0.169825:0.462142:0.188405:0.462142:0.188405:0.452470:0.169825:0.452470:0.000000:0.000000:0.000000:0.000000
–1:@0.188866:0.507928:0.199727:0.507928:0.199727:0.498256:0.188866:0.498256:0.000000:0.000000
–1:@0.136459:0.462142:0.147320:0.462142:0.147320:0.452470:0.136459:0.452470:0.000000:0.000000
–1,5:@0.095470:0.462142:0.114051:0.462142:0.114051:0.452470:0.095470:0.452470:0.000000:0.000000:0.000000:0.000000
–1,5:@0.188866:0.535569:0.207446:0.535569:0.207446:0.525897:0.188866:0.525897:0.000000:0.000000:0.000000:0.000000
–2,5:@0.188866:0.591566:0.207446:0.591566:0.207446:0.581894:0.188866:0.581894:0.000000:0.000000:0.000000:0.000000
–3:@0.188866:0.619247:0.199727:0.619247:0.199727:0.609574:0.188866:0.609574:0.000000:0.000000
–2:@0.188866:0.564376:0.199727:0.564376:0.199727:0.554704:0.188866:0.554704:0.000000:0.000000
–2:@0.062549:0.462139:0.073410:0.462139:0.073410:0.452466:0.062549:0.452466:0.000000:0.000000
–2,5:@0.020188:0.462139:0.038769:0.462139:0.038769:0.452466:0.020188:0.452466:0.000000:0.000000:0.000000:0.000000
2,5:@0.398733:0.462139:0.411953:0.462139:0.411953:0.452466:0.398733:0.452466:0.000000:0.000000:0.000000
2:@0.362430:0.462139:0.367930:0.462139:0.367930:0.452466:0.362430:0.452466:0.000000
1,5:@0.325140:0.462139:0.338360:0.462139:0.338360:0.452466:0.325140:0.452466:0.000000:0.000000:0.000000
1:@0.287787:0.462139:0.293287:0.462139:0.293287:0.452466:0.287787:0.452466:0.000000
0,5:@0.246434:0.462139:0.259653:0.462139:0.259653:0.452466:0.246434:0.452466:0.000000:0.000000:0.000000
2,5:@0.192891:0.313814:0.206111:0.313814:0.206111:0.304141:0.192891:0.304141:0.000000:0.000000:0.000000
3:@0.202273:0.286318:0.207773:0.286318:0.207773:0.276646:0.202273:0.276646:0.000000
3:@0.435969:0.462139:0.441469:0.462139:0.441469:0.452466:0.435969:0.452466:0.000000
3,5:@0.470814:0.462139:0.484033:0.462139:0.484033:0.452466:0.470814:0.452466:0.000000:0.000000:0.000000
4,5:@0.543035:0.462139:0.556254:0.462139:0.556254:0.452466:0.543035:0.452466:0.000000:0.000000:0.000000
5,5:@0.616917:0.462139:0.630137:0.462139:0.630137:0.452466:0.616917:0.452466:0.000000:0.000000:0.000000
4:@0.510538:0.462139:0.516038:0.462139:0.516038:0.452466:0.510538:0.452466:0.000000
5:@0.583208:0.462139:0.588709:0.462139:0.588709:0.452466:0.583208:0.452466:0.000000
6:@0.657916:0.462139:0.663416:0.462139:0.663416:0.452466:0.657916:0.452466:0.000000
y:@0.225840:0.333343:0.232641:0.333343:0.232641:0.318469:0.225840:0.318469:0.000000
x:@0.478657:0.443976:0.485442:0.443976:0.485442:0.429102:0.478657:0.429102:0.000000
0:@0.590654:0.481082:0.596154:0.481082:0.596154:0.471410:0.590654:0.471410:0.000000
2:@0.577466:0.362836:0.582966:0.362836:0.582966:0.353164:0.577466:0.353164:0.000000
1,5:@0.577466:0.390307:0.590686:0.390307:0.590686:0.380635:0.577466:0.380635:0.000000:0.000000:0.000000
1:@0.577466:0.418165:0.582966:0.418165:0.582966:0.408493:0.577466:0.408493:0.000000
0,5:@0.577466:0.445339:0.590686:0.445339:0.590686:0.435667:0.577466:0.435667:0.000000:0.000000:0.000000
–0,5:@0.570765:0.501256:0.589345:0.501256:0.589345:0.491584:0.570765:0.491584:0.000000:0.000000:0.000000:0.000000
–0,5:@0.551723:0.482997:0.570303:0.482997:0.570303:0.473325:0.551723:0.473325:0.000000:0.000000:0.000000:0.000000
–1:@0.570765:0.528783:0.581626:0.528783:0.581626:0.519111:0.570765:0.519111:0.000000:0.000000
–1:@0.518358:0.482997:0.529219:0.482997:0.529219:0.473325:0.518358:0.473325:0.000000:0.000000
–1,5:@0.477370:0.482997:0.495950:0.482997:0.495950:0.473325:0.477370:0.473325:0.000000:0.000000:0.000000:0.000000
–1,5:@0.570765:0.556424:0.589345:0.556424:0.589345:0.546751:0.570765:0.546751:0.000000:0.000000:0.000000:0.000000
–2,5:@0.570765:0.612421:0.589345:0.612421:0.589345:0.602749:0.570765:0.602749:0.000000:0.000000:0.000000:0.000000
–3:@0.570765:0.640101:0.581626:0.640101:0.581626:0.630429:0.570765:0.630429:0.000000:0.000000
–2:@0.570765:0.585231:0.581626:0.585231:0.581626:0.575559:0.570765:0.575559:0.000000:0.000000
–2:@0.444447:0.482993:0.455308:0.482993:0.455308:0.473321:0.444447:0.473321:0.000000:0.000000
–2,5:@0.402086:0.482993:0.420667:0.482993:0.420667:0.473321:0.402086:0.473321:0.000000:0.000000:0.000000:0.000000
–3:@0.369107:0.482993:0.379968:0.482993:0.379968:0.473321:0.369107:0.473321:0.000000:0.000000
–3,5:@0.328708:0.482993:0.347288:0.482993:0.347288:0.473321:0.328708:0.473321:0.000000:0.000000:0.000000:0.000000
2,5:@0.780632:0.482993:0.793852:0.482993:0.793852:0.473321:0.780632:0.473321:0.000000:0.000000:0.000000
2:@0.744329:0.482993:0.749829:0.482993:0.749829:0.473321:0.744329:0.473321:0.000000
1,5:@0.707040:0.482993:0.720259:0.482993:0.720259:0.473321:0.707040:0.473321:0.000000:0.000000:0.000000
1:@0.669686:0.482993:0.675186:0.482993:0.675186:0.473321:0.669686:0.473321:0.000000
0,5:@0.628333:0.482993:0.641553:0.482993:0.641553:0.473321:0.628333:0.473321:0.000000:0.000000:0.000000
2,5:@0.574790:0.334668:0.588009:0.334668:0.588009:0.324996:0.574790:0.324996:0.000000:0.000000:0.000000
3:@0.584171:0.307172:0.589671:0.307172:0.589671:0.297500:0.584171:0.297500:0.000000
3:@0.817868:0.482993:0.823368:0.482993:0.823368:0.473321:0.817868:0.473321:0.000000
3,5:@0.852713:0.482993:0.865933:0.482993:0.865933:0.473321:0.852713:0.473321:0.000000:0.000000:0.000000
4,5:@0.924933:0.482993:0.938152:0.482993:0.938152:0.473321:0.924933:0.473321:0.000000:0.000000:0.000000
5,5:@0.998815:0.482993:1.012034:0.482993:1.012034:0.473321:0.998815:0.473321:0.000000:0.000000:0.000000
4:@0.892436:0.482993:0.897936:0.482993:0.897936:0.473321:0.892436:0.473321:0.000000
5:@0.965106:0.482993:0.970606:0.482993:0.970606:0.473321:0.965106:0.473321:0.000000
y:@0.607885:0.302590:0.614686:0.302590:0.614686:0.287716:0.607885:0.287716:0.000000
x:@0.867051:0.464588:0.873836:0.464588:0.873836:0.449714:0.867051:0.449714:0.000000