92:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000 c) :@0.540845:0.451767:0.558481:0.451767:0.558481:0.434866:0.540845:0.434866:0.000000:0.000000:0.000000 S:@0.574089:0.451767:0.582160:0.451767:0.582160:0.435406:0.574089:0.435406:0.000000 = :@0.582160:0.451767:0.601214:0.451767:0.601214:0.435378:0.582160:0.435378:0.000000:0.000000:0.000000 {(:@0.601214:0.452445:0.616196:0.452445:0.616196:0.436872:0.601214:0.436872:0.000000:0.000000 x, y:@0.616196:0.451767:0.637793:0.451767:0.637793:0.435406:0.616196:0.435406:0.000000:0.000000:0.000000:0.000000 ) ∈:@0.637793:0.452445:0.661104:0.452445:0.661104:0.436872:0.637793:0.436872:0.000000:0.000000:0.000000 2 | 4:@0.643929:0.451767:0.704501:0.451767:0.704501:0.435378:0.643929:0.435378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.665140:0.450910:0.678444:0.450910:0.678444:0.438047:0.665140:0.438047:0.000000 x + y:@0.704501:0.451767:0.746055:0.451767:0.746055:0.435406:0.704501:0.435406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 = 6, 0, 5 , :@0.729581:0.451767:0.867641:0.451767:0.867641:0.435378:0.729581:0.435378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.785380:0.451767:0.792843:0.451767:0.792843:0.435406:0.785380:0.435406:0.000000 ∈ [:@0.796879:0.452445:0.820190:0.452445:0.820190:0.436872:0.796879:0.436872:0.000000:0.000000:0.000000 ]}:@0.845417:0.452445:0.860399:0.452445:0.860399:0.436872:0.845417:0.436872:0.000000:0.000000 :@0.540845:0.471932:0.544881:0.471932:0.544881:0.455543:0.540845:0.455543:0.000000 U:@0.574089:0.471932:0.585145:0.471932:0.585145:0.455570:0.574089:0.455570:0.000000 = + 2:@0.585145:0.471932:0.639710:0.471932:0.639710:0.455543:0.585145:0.455543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.604199:0.471932:0.611663:0.471932:0.611663:0.455570:0.604199:0.455570:0.000000 y:@0.639710:0.471932:0.647191:0.471932:0.647191:0.455570:0.639710:0.455570:0.000000 :@0.540845:0.585810:0.544162:0.585810:0.544162:0.569449:0.540845:0.569449:0.000000 d) :@0.540845:0.616658:0.560913:0.616658:0.560913:0.599758:0.540845:0.599758:0.000000:0.000000:0.000000 S:@0.574089:0.616658:0.582160:0.616658:0.582160:0.600297:0.574089:0.600297:0.000000 = :@0.582160:0.616658:0.601214:0.616658:0.601214:0.600269:0.582160:0.600269:0.000000:0.000000:0.000000 {(:@0.601214:0.617336:0.616196:0.617336:0.616196:0.601763:0.601214:0.601763:0.000000:0.000000 x, y:@0.616196:0.616658:0.637793:0.616658:0.637793:0.600297:0.616196:0.600297:0.000000:0.000000:0.000000:0.000000 ) ∈:@0.637793:0.617336:0.661104:0.617336:0.661104:0.601763:0.637793:0.601763:0.000000:0.000000:0.000000 2 | –:@0.643929:0.616658:0.704722:0.616658:0.704722:0.600269:0.643929:0.600269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.665140:0.615801:0.678444:0.615801:0.678444:0.602939:0.665140:0.602939:0.000000 x + y:@0.704722:0.616658:0.746277:0.616658:0.746277:0.600297:0.704722:0.600297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 = –1, 0, 2 , :@0.729802:0.616658:0.877076:0.616658:0.877076:0.600269:0.729802:0.600269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.794815:0.616658:0.802278:0.616658:0.802278:0.600297:0.794815:0.600297:0.000000 ∈ [:@0.806314:0.617336:0.829625:0.617336:0.829625:0.601763:0.806314:0.601763:0.000000:0.000000:0.000000 ]}:@0.854852:0.617336:0.869834:0.617336:0.869834:0.601763:0.854852:0.601763:0.000000:0.000000 :@0.540845:0.636823:0.544881:0.636823:0.544881:0.620434:0.540845:0.620434:0.000000 U:@0.574089:0.636823:0.585145:0.636823:0.585145:0.620462:0.574089:0.620462:0.000000 = 2 – :@0.585145:0.636823:0.637940:0.636823:0.637940:0.620434:0.585145:0.620434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.613192:0.636823:0.645422:0.636823:0.645422:0.620462:0.613192:0.620462:0.000000:0.000000:0.000000 :@0.540845:0.750702:0.544162:0.750702:0.544162:0.734340:0.540845:0.734340:0.000000 e) :@0.540845:0.781551:0.559715:0.781551:0.559715:0.764650:0.540845:0.764650:0.000000:0.000000:0.000000 S:@0.574089:0.781551:0.582160:0.781551:0.582160:0.765190:0.574089:0.765190:0.000000 = :@0.582160:0.781551:0.601214:0.781551:0.601214:0.765162:0.582160:0.765162:0.000000:0.000000:0.000000 {(:@0.601214:0.782229:0.616196:0.782229:0.616196:0.766656:0.601214:0.766656:0.000000:0.000000 x, y:@0.616196:0.781551:0.637793:0.781551:0.637793:0.765190:0.616196:0.765190:0.000000:0.000000:0.000000:0.000000 ) ∈:@0.637793:0.782229:0.661104:0.782229:0.661104:0.766656:0.637793:0.766656:0.000000:0.000000:0.000000 2 | 2:@0.643929:0.781551:0.704501:0.781551:0.704501:0.765162:0.643929:0.765162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.665140:0.780693:0.678444:0.780693:0.678444:0.767831:0.665140:0.767831:0.000000 x – y:@0.704501:0.781551:0.735294:0.781551:0.735294:0.765190:0.704501:0.765190:0.000000:0.000000:0.000000:0.000000:0.000000 = 1, 0, 3 , :@0.735294:0.781551:0.856879:0.781551:0.856879:0.765162:0.735294:0.765162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.774618:0.781551:0.782081:0.781551:0.782081:0.765190:0.774618:0.765190:0.000000 ∈ [:@0.786117:0.782229:0.809428:0.782229:0.809428:0.766656:0.786117:0.766656:0.000000:0.000000:0.000000 ]}:@0.834656:0.782229:0.849637:0.782229:0.849637:0.766656:0.834656:0.766656:0.000000:0.000000 :@0.540845:0.801715:0.544881:0.801715:0.544881:0.785327:0.540845:0.785327:0.000000 U:@0.574089:0.801715:0.585145:0.801715:0.585145:0.785354:0.574089:0.785354:0.000000 = – :@0.585145:0.801715:0.628948:0.801715:0.628948:0.785327:0.585145:0.785327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.604199:0.801715:0.636429:0.801715:0.636429:0.785354:0.604199:0.785354:0.000000:0.000000:0.000000 :@0.540845:0.915594:0.544162:0.915594:0.544162:0.899233:0.540845:0.899233:0.000000 4. :@0.507603:0.100351:0.526344:0.100351:0.526344:0.083216:0.507603:0.083216:0.000000:0.000000:0.000000 Dados en cada literal la restricción y la fun-:@0.540847:0.100351:0.879527:0.100351:0.879527:0.083963:0.540847:0.083963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.804065:0.100351:0.812137:0.100351:0.812137:0.083990:0.804065:0.083990:0.000000 ción objetivo , :@0.540847:0.116948:0.659372:0.116948:0.659372:0.100559:0.540847:0.100559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 U:@0.641073:0.116948:0.652130:0.116948:0.652130:0.100587:0.641073:0.100587:0.000000 calcula:@0.659372:0.116948:0.712499:0.116948:0.712499:0.100324:0.659372:0.100324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.712499:0.116948:0.716534:0.116948:0.716534:0.100559:0.712499:0.100559:0.000000 U:@0.716534:0.116948:0.727591:0.116948:0.727591:0.100587:0.716534:0.100587:0.000000 min:@0.727588:0.118854:0.743874:0.118854:0.743874:0.109316:0.727588:0.109316:0.000000:0.000000:0.000000 y :@0.743874:0.116948:0.760054:0.116948:0.760054:0.100559:0.743874:0.100559:0.000000:0.000000:0.000000 U:@0.760054:0.116948:0.771110:0.116948:0.771110:0.100587:0.760054:0.100587:0.000000 max:@0.771110:0.118854:0.789395:0.118854:0.789395:0.109316:0.771110:0.109316:0.000000:0.000000:0.000000 .:@0.789396:0.116948:0.792602:0.116948:0.792602:0.100559:0.789396:0.100559:0.000000 a) :@0.540844:0.140667:0.559566:0.140667:0.559566:0.123766:0.540844:0.123766:0.000000:0.000000:0.000000 S:@0.574087:0.140667:0.582158:0.140667:0.582158:0.124306:0.574087:0.124306:0.000000 = :@0.582158:0.140667:0.601213:0.140667:0.601213:0.124278:0.582158:0.124278:0.000000:0.000000:0.000000 {(:@0.601213:0.141345:0.616194:0.141345:0.616194:0.125772:0.601213:0.125772:0.000000:0.000000 x, y:@0.616194:0.140667:0.637791:0.140667:0.637791:0.124306:0.616194:0.124306:0.000000:0.000000:0.000000:0.000000 ) ∈:@0.637791:0.141345:0.661102:0.141345:0.661102:0.125772:0.637791:0.125772:0.000000:0.000000:0.000000 2 | :@0.643928:0.140667:0.695507:0.140667:0.695507:0.124278:0.643928:0.124278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.665138:0.139809:0.678443:0.139809:0.678443:0.126947:0.665138:0.126947:0.000000 x – y:@0.695507:0.140667:0.726299:0.140667:0.726299:0.124306:0.695507:0.124306:0.000000:0.000000:0.000000:0.000000:0.000000 = 2, 0, 2 , :@0.726299:0.140667:0.847885:0.140667:0.847885:0.124278:0.726299:0.124278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.765624:0.140667:0.773087:0.140667:0.773087:0.124306:0.765624:0.124306:0.000000 ∈ [:@0.777123:0.141345:0.800434:0.141345:0.800434:0.125772:0.777123:0.125772:0.000000:0.000000:0.000000 ]}:@0.825661:0.141345:0.840643:0.141345:0.840643:0.125772:0.825661:0.125772:0.000000:0.000000 :@0.540844:0.160831:0.544879:0.160831:0.544879:0.144443:0.540844:0.144443:0.000000 U:@0.574087:0.160831:0.585144:0.160831:0.585144:0.144470:0.574087:0.144470:0.000000 = 2 + 3:@0.585144:0.160831:0.648701:0.160831:0.648701:0.144443:0.585144:0.144443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.613191:0.160831:0.620654:0.160831:0.620654:0.144470:0.613191:0.144470:0.000000 y:@0.648701:0.160831:0.656182:0.160831:0.656182:0.144470:0.648701:0.144470:0.000000 :@0.540844:0.274710:0.544161:0.274710:0.544161:0.258349:0.540844:0.258349:0.000000 b) :@0.540845:0.294872:0.560876:0.294872:0.560876:0.277972:0.540845:0.277972:0.000000:0.000000:0.000000 S:@0.574089:0.294872:0.582160:0.294872:0.582160:0.278511:0.574089:0.278511:0.000000 = :@0.582160:0.294872:0.601214:0.294872:0.601214:0.278483:0.582160:0.278483:0.000000:0.000000:0.000000 {(:@0.601214:0.295550:0.616196:0.295550:0.616196:0.279977:0.601214:0.279977:0.000000:0.000000 x, y:@0.616196:0.294872:0.637793:0.294872:0.637793:0.278511:0.616196:0.278511:0.000000:0.000000:0.000000:0.000000 ) ∈:@0.637793:0.295550:0.661104:0.295550:0.661104:0.279977:0.637793:0.279977:0.000000:0.000000:0.000000 2 | 2:@0.643929:0.294872:0.704501:0.294872:0.704501:0.278483:0.643929:0.278483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.665140:0.294015:0.678444:0.294015:0.678444:0.281153:0.665140:0.281153:0.000000 x + y:@0.704501:0.294872:0.746055:0.294872:0.746055:0.278511:0.704501:0.278511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 = 4, 0, 3 , :@0.729581:0.294872:0.867641:0.294872:0.867641:0.278483:0.729581:0.278483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.785380:0.294872:0.792843:0.294872:0.792843:0.278511:0.785380:0.278511:0.000000 ∈ [:@0.796879:0.295550:0.820190:0.295550:0.820190:0.279977:0.796879:0.279977:0.000000:0.000000:0.000000 ]}:@0.845417:0.295550:0.860399:0.295550:0.860399:0.279977:0.845417:0.279977:0.000000:0.000000 :@0.540845:0.315037:0.544881:0.315037:0.544881:0.298648:0.540845:0.298648:0.000000 U:@0.574089:0.315037:0.585145:0.315037:0.585145:0.298676:0.574089:0.298676:0.000000 = – :@0.585145:0.315037:0.628948:0.315037:0.628948:0.298648:0.585145:0.298648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.604199:0.315037:0.636429:0.315037:0.636429:0.298676:0.604199:0.298676:0.000000:0.000000:0.000000 :@0.540845:0.428916:0.544162:0.428916:0.544162:0.412554:0.540845:0.412554:0.000000 c) :@0.149571:0.651628:0.167207:0.651628:0.167207:0.634727:0.149571:0.634727:0.000000:0.000000:0.000000 Llena:@0.182815:0.651628:0.224203:0.651628:0.224203:0.635004:0.182815:0.635004:0.000000:0.000000:0.000000:0.000000:0.000000 la tabla y:@0.224203:0.651628:0.294910:0.651628:0.294910:0.635239:0.224203:0.635239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 halla:@0.294910:0.651628:0.336059:0.651628:0.336059:0.635004:0.294910:0.635004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.336059:0.651628:0.340095:0.651628:0.340095:0.635239:0.336059:0.635239:0.000000 x, y:@0.340666:0.651628:0.362742:0.651628:0.362742:0.635266:0.340666:0.635266:0.000000:0.000000:0.000000:0.000000 soluciones facti-:@0.362742:0.651628:0.486539:0.651628:0.486539:0.635239:0.362742:0.635239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 bles, tales que, :@0.182815:0.668224:0.293323:0.668224:0.293323:0.651835:0.182815:0.651835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.293323:0.668224:0.303237:0.668224:0.303237:0.651863:0.293323:0.651863:0.000000 max:@0.303234:0.670130:0.321519:0.670130:0.321519:0.660592:0.303234:0.660592:0.000000:0.000000:0.000000 = 5x – 7y.:@0.321520:0.668224:0.394436:0.668224:0.394436:0.651835:0.321520:0.651835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.149571:0.821547:0.153386:0.821547:0.153386:0.804646:0.149571:0.804646:0.000000 A:@0.189931:0.694811:0.198927:0.694811:0.198927:0.679937:0.189931:0.679937:0.000000 = :@0.198927:0.694811:0.284197:0.694811:0.284197:0.679912:0.198927:0.679912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.216249:0.695427:0.221828:0.695427:0.221828:0.681270:0.216249:0.681270:0.000000 ):@0.284197:0.695427:0.289775:0.695427:0.289775:0.681270:0.284197:0.681270:0.000000 C:@0.355328:0.694811:0.364340:0.694811:0.364340:0.679937:0.355328:0.679937:0.000000 = :@0.364340:0.694811:0.381662:0.694811:0.381662:0.679912:0.364340:0.679912:0.000000:0.000000:0.000000 B:@0.189931:0.718763:0.197972:0.718763:0.197972:0.703889:0.189931:0.703889:0.000000 = :@0.197972:0.718763:0.283242:0.718763:0.283242:0.703863:0.197972:0.703863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.215294:0.719379:0.220873:0.719379:0.220873:0.705221:0.215294:0.705221:0.000000 ):@0.283242:0.719379:0.288821:0.719379:0.288821:0.705221:0.283242:0.705221:0.000000 C:@0.355328:0.718763:0.364340:0.718763:0.364340:0.703889:0.355328:0.703889:0.000000 = :@0.364340:0.718763:0.381662:0.718763:0.381662:0.703863:0.364340:0.703863:0.000000:0.000000:0.000000 C:@0.189931:0.753653:0.198944:0.753653:0.198944:0.738779:0.189931:0.738779:0.000000 = :@0.198944:0.753653:0.286597:0.753653:0.286597:0.738754:0.198944:0.738754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.355326:0.754288:0.364339:0.754288:0.364339:0.739414:0.355326:0.739414:0.000000 = :@0.364339:0.754288:0.381661:0.754288:0.381661:0.739389:0.364339:0.739389:0.000000:0.000000:0.000000 D:@0.189929:0.800732:0.200416:0.800732:0.200416:0.785858:0.189929:0.785858:0.000000 = :@0.200416:0.800732:0.288072:0.800737:0.288072:0.785838:0.200416:0.785833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.355326:0.801731:0.364339:0.801731:0.364339:0.786857:0.355326:0.786857:0.000000 = :@0.364339:0.801731:0.381661:0.801731:0.381661:0.786832:0.364339:0.786832:0.000000:0.000000:0.000000 :@0.149571:0.845267:0.153607:0.845267:0.153607:0.828878:0.149571:0.828878:0.000000 ____________________________________:@0.182815:0.845267:0.482264:0.845267:0.482264:0.828366:0.182815:0.828366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ____________________________________:@0.182815:0.868986:0.482264:0.868986:0.482264:0.852085:0.182815:0.852085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ____________________________________:@0.182815:0.892705:0.482264:0.892705:0.482264:0.875804:0.182815:0.875804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ____________________________________:@0.182815:0.916424:0.482264:0.916424:0.482264:0.899523:0.182815:0.899523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.149571:0.484144:0.169602:0.484144:0.169602:0.467243:0.149571:0.467243:0.000000:0.000000:0.000000 Halla:@0.182815:0.484144:0.221292:0.484144:0.221292:0.467520:0.182815:0.467520:0.000000:0.000000:0.000000:0.000000:0.000000 los vértices de la región factible.:@0.221292:0.484144:0.458730:0.484144:0.458730:0.467755:0.221292:0.467755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.149571:0.622973:0.153386:0.622973:0.153386:0.606072:0.149571:0.606072:0.000000 3. :@0.114220:0.100407:0.132961:0.100407:0.132961:0.083271:0.114220:0.083271:0.000000:0.000000:0.000000 Sea la función objetivo = 5 – 7 , sujeta a las :@0.147463:0.100407:0.491561:0.100407:0.491561:0.084018:0.147463:0.084018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.319723:0.100407:0.329637:0.100407:0.329637:0.084046:0.319723:0.084046:0.000000 x:@0.358311:0.100407:0.365774:0.100407:0.365774:0.084046:0.358311:0.084046:0.000000 y:@0.392678:0.100407:0.400160:0.100407:0.400160:0.084046:0.392678:0.084046:0.000000 siguientes restricciones.:@0.147463:0.117003:0.321030:0.117003:0.321030:0.100614:0.147463:0.100614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.114220:0.188534:0.117942:0.188534:0.117942:0.171398:0.114220:0.171398:0.000000 10 + 3 3 ( ):@0.154429:0.141040:0.277765:0.141040:0.277765:0.124651:0.154429:0.124651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.172414:0.141040:0.179878:0.141040:0.179878:0.124679:0.172414:0.124679:0.000000 y:@0.207925:0.141040:0.215406:0.141040:0.215406:0.124679:0.207925:0.124679:0.000000 ≤:@0.219442:0.141718:0.229559:0.141718:0.229559:0.126145:0.219442:0.126145:0.000000 a:@0.263613:0.141040:0.272882:0.141040:0.272882:0.124679:0.263613:0.124679:0.000000 10 – 2 2 ( ):@0.154429:0.162201:0.275996:0.162201:0.275996:0.145812:0.154429:0.145812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.172414:0.162201:0.179878:0.162201:0.179878:0.145839:0.172414:0.145839:0.000000 y:@0.206156:0.162201:0.213637:0.162201:0.213637:0.145839:0.206156:0.145839:0.000000 ≤:@0.217673:0.162878:0.227790:0.162878:0.227790:0.147305:0.217673:0.147305:0.000000 b:@0.261844:0.162201:0.271113:0.162201:0.271113:0.145839:0.261844:0.145839:0.000000 x:@0.154429:0.183361:0.161892:0.183361:0.161892:0.167000:0.154429:0.167000:0.000000 0, 0 ( ):@0.161892:0.183361:0.276660:0.183361:0.276660:0.166972:0.161892:0.166972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ≥:@0.165928:0.184039:0.176045:0.184039:0.176045:0.168466:0.165928:0.168466:0.000000 y:@0.200351:0.183361:0.207832:0.183361:0.207832:0.167000:0.200351:0.167000:0.000000 ≥:@0.211868:0.184039:0.221985:0.184039:0.221985:0.168466:0.211868:0.168466:0.000000 c:@0.264110:0.183361:0.271776:0.183361:0.271776:0.167000:0.264110:0.167000:0.000000 a) :@0.147460:0.212255:0.166183:0.212255:0.166183:0.195354:0.147460:0.195354:0.000000:0.000000:0.000000 Esboza:@0.180704:0.212255:0.234310:0.212255:0.234310:0.195631:0.180704:0.195631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la región factible.:@0.234310:0.212255:0.363466:0.212255:0.363466:0.195866:0.234310:0.195866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.224825:0.437439:0.231700:0.437439:0.231700:0.425349:0.224825:0.425349:0.000000 0,8:@0.208340:0.289631:0.224865:0.289631:0.224865:0.277540:0.208340:0.277540:0.000000:0.000000:0.000000 0,6:@0.208340:0.323970:0.224865:0.323970:0.224865:0.311880:0.208340:0.311880:0.000000:0.000000:0.000000 0,4:@0.208340:0.358792:0.224865:0.358792:0.224865:0.346702:0.208340:0.346702:0.000000:0.000000:0.000000 0,2:@0.208340:0.392759:0.224865:0.392759:0.224865:0.380669:0.208340:0.380669:0.000000:0.000000:0.000000 –0,2:@0.199964:0.462655:0.223190:0.462655:0.223190:0.450565:0.199964:0.450565:0.000000:0.000000:0.000000:0.000000 –0,2:@0.176162:0.439833:0.199388:0.439833:0.199388:0.427743:0.176162:0.427743:0.000000:0.000000:0.000000:0.000000 –1:@0.199964:0.497065:0.213540:0.497065:0.213540:0.484975:0.199964:0.484975:0.000000:0.000000 0,4:@0.134456:0.439833:0.150980:0.439833:0.150980:0.427743:0.134456:0.427743:0.000000:0.000000:0.000000 –1,5:@0.083220:0.439833:0.106446:0.439833:0.106446:0.427743:0.083220:0.427743:0.000000:0.000000:0.000000:0.000000 –1,5:@0.199964:0.531616:0.223190:0.531616:0.223190:0.519526:0.199964:0.519526:0.000000:0.000000:0.000000:0.000000 –2,5:@0.199964:0.601612:0.223190:0.601612:0.223190:0.589522:0.199964:0.589522:0.000000:0.000000:0.000000:0.000000 –3:@0.199964:0.636213:0.213540:0.636213:0.213540:0.624123:0.199964:0.624123:0.000000:0.000000 –2:@0.199964:0.567625:0.213540:0.567625:0.213540:0.555535:0.199964:0.555535:0.000000:0.000000 –2:@0.042067:0.439829:0.055643:0.439829:0.055643:0.427739:0.042067:0.427739:0.000000:0.000000 –2,5:@-0.010884:0.439829:0.012341:0.439829:0.012341:0.427739:-0.010884:0.427739:0.000000:0.000000:0.000000:0.000000 1:@0.462297:0.439829:0.469172:0.439829:0.469172:0.427739:0.462297:0.427739:0.000000 0,8:@0.413567:0.439829:0.430092:0.439829:0.430092:0.427739:0.413567:0.427739:0.000000:0.000000:0.000000 0,6:@0.365280:0.439829:0.381805:0.439829:0.381805:0.427739:0.365280:0.427739:0.000000:0.000000:0.000000 0,4:@0.318588:0.439829:0.335112:0.439829:0.335112:0.427739:0.318588:0.427739:0.000000:0.000000:0.000000 0,2:@0.271922:0.439829:0.288447:0.439829:0.288447:0.427739:0.271922:0.427739:0.000000:0.000000:0.000000 1:@0.213369:0.254422:0.220245:0.254422:0.220245:0.242332:0.213369:0.242332:0.000000 1,2:@0.208344:0.220053:0.224868:0.220053:0.224868:0.207963:0.208344:0.207963:0.000000:0.000000:0.000000 3:@0.508841:0.439829:0.515717:0.439829:0.515717:0.427739:0.508841:0.427739:0.000000 3,5:@0.552398:0.439829:0.568922:0.439829:0.568922:0.427739:0.552398:0.427739:0.000000:0.000000:0.000000 4,5:@0.642673:0.439829:0.659198:0.439829:0.659198:0.427739:0.642673:0.427739:0.000000:0.000000:0.000000 5,5:@0.735026:0.439829:0.751550:0.439829:0.751550:0.427739:0.735026:0.427739:0.000000:0.000000:0.000000 4:@0.602052:0.439829:0.608927:0.439829:0.608927:0.427739:0.602052:0.427739:0.000000 5:@0.692890:0.439829:0.699765:0.439829:0.699765:0.427739:0.692890:0.427739:0.000000 6:@0.786275:0.439829:0.793150:0.439829:0.793150:0.427739:0.786275:0.427739:0.000000 y:@0.243938:0.236207:0.250739:0.236207:0.250739:0.221333:0.243938:0.221333:0.000000 x:@0.470901:0.417958:0.477685:0.417958:0.477685:0.403084:0.470901:0.403084:0.000000 A:@0.192995:0.515635:0.202891:0.515635:0.202891:0.499274:0.192995:0.499274:0.000000 = 0, 0 , = 0, 1 , = :@0.202891:0.515635:0.376369:0.515635:0.376369:0.499247:0.202891:0.499247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.221945:0.516313:0.228081:0.516313:0.228081:0.500740:0.221945:0.500740:0.000000 ):@0.253309:0.516313:0.259445:0.516313:0.259445:0.500740:0.253309:0.500740:0.000000 B:@0.270723:0.515635:0.279568:0.515635:0.279568:0.499274:0.270723:0.499274:0.000000 (:@0.298622:0.516313:0.304759:0.516313:0.304759:0.500740:0.298622:0.500740:0.000000 ):@0.329986:0.516313:0.336123:0.516313:0.336123:0.500740:0.329986:0.500740:0.000000 C:@0.347400:0.515635:0.357314:0.515635:0.357314:0.499274:0.347400:0.499274:0.000000 6 1 :@0.384383:0.505910:0.431216:0.505910:0.431216:0.489521:0.384383:0.489521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 25 5:@0.381895:0.526863:0.425780:0.526863:0.425780:0.510474:0.381895:0.510474:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.399641:0.514291:0.409942:0.514291:0.409942:0.497903:0.399641:0.497903:0.000000:0.000000 ,:@0.403124:0.514291:0.406459:0.514291:0.406459:0.497930:0.403124:0.497930:0.000000 , :@0.428581:0.514291:0.443963:0.515635:0.443963:0.499247:0.428581:0.497903:0.000000:0.000000:0.000000:0.000000 D :@0.192997:0.558385:0.207850:0.558385:0.207850:0.542024:0.192997:0.542024:0.000000:0.000000 = :@0.207850:0.558385:0.222868:0.558385:0.222868:0.541996:0.207850:0.541996:0.000000:0.000000 1 :@0.230882:0.548658:0.249347:0.548658:0.249347:0.532270:0.230882:0.532270:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.230882:0.569611:0.243911:0.569611:0.243911:0.553222:0.230882:0.553222:0.000000:0.000000 0 :@0.246159:0.557040:0.275531:0.558384:0.275531:0.541995:0.246159:0.540651:0.000000:0.000000:0.000000:0.000000:0.000000 ,:@0.249642:0.557040:0.252977:0.557040:0.252977:0.540678:0.249642:0.540678:0.000000 0, 0:@0.232355:0.696272:0.257582:0.696272:0.257582:0.679883:0.232355:0.679883:0.000000:0.000000:0.000000:0.000000 0, 1:@0.232355:0.721415:0.257582:0.721415:0.257582:0.705027:0.232355:0.705027:0.000000:0.000000:0.000000:0.000000 0:@0.383125:0.695020:0.391300:0.695020:0.391300:0.680121:0.383125:0.680121:0.000000 –7:@0.383125:0.718908:0.399676:0.718908:0.399676:0.704009:0.383125:0.704009:0.000000:0.000000 Los valores = 1 5, = 0 proporcionan :@0.184962:0.844786:0.478107:0.844786:0.478107:0.828397:0.184962:0.828397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.269103:0.844786:0.276566:0.844786:0.276566:0.828424:0.269103:0.828424:0.000000 :@0.304613:0.845366:0.313827:0.845366:0.313827:0.827760:0.304613:0.827760:0.000000 y:@0.334097:0.844786:0.341579:0.844786:0.341579:0.828424:0.334097:0.828424:0.000000 el valor :@0.184962:0.868919:0.241719:0.868919:0.241719:0.852531:0.184962:0.852531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.185736:0.891325:0.195650:0.891325:0.195650:0.874963:0.185736:0.874963:0.000000 max:@0.195640:0.893242:0.213925:0.893242:0.213925:0.883704:0.195640:0.883704:0.000000:0.000000:0.000000 = 5 1 5 – 7 0 = 1:@0.213926:0.891336:0.357035:0.891336:0.357035:0.874947:0.213926:0.874947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.241972:0.892014:0.248109:0.892014:0.248109:0.876441:0.241972:0.876441:0.000000 :@0.257102:0.891917:0.266315:0.891917:0.266315:0.874311:0.257102:0.874311:0.000000 ):@0.275308:0.892014:0.281444:0.892014:0.281444:0.876441:0.275308:0.876441:0.000000 ( ):@0.307722:0.892014:0.328988:0.892014:0.328988:0.876441:0.307722:0.876441:0.000000:0.000000:0.000000 U:@0.577816:0.188742:0.588873:0.188742:0.588873:0.172381:0.577816:0.172381:0.000000 min:@0.588869:0.190645:0.605156:0.190645:0.605156:0.181106:0.588869:0.181106:0.000000:0.000000:0.000000 = –6, :@0.605154:0.188738:0.653693:0.188738:0.653693:0.172350:0.605154:0.172350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 U:@0.653693:0.188738:0.664749:0.188738:0.664749:0.172377:0.653693:0.172377:0.000000 max:@0.664749:0.190645:0.683034:0.190645:0.683034:0.181106:0.664749:0.181106:0.000000:0.000000:0.000000 = 4 :@0.683035:0.188738:0.719153:0.188738:0.719153:0.172350:0.683035:0.172350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 U:@0.577813:0.341646:0.588869:0.341646:0.588869:0.325285:0.577813:0.325285:0.000000 min:@0.588869:0.343549:0.605156:0.343549:0.605156:0.334010:0.588869:0.334010:0.000000:0.000000:0.000000 = –4 3, :@0.605154:0.341643:0.671899:0.341643:0.671899:0.325254:0.605154:0.325254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.642415:0.342223:0.651629:0.342223:0.651629:0.324618:0.642415:0.324618:0.000000 U:@0.671899:0.341643:0.682956:0.341643:0.682956:0.325281:0.671899:0.325281:0.000000 max:@0.682956:0.343549:0.701241:0.343549:0.701241:0.334010:0.682956:0.334010:0.000000:0.000000:0.000000 = –1 3 :@0.701241:0.341643:0.764780:0.341643:0.764780:0.325254:0.701241:0.325254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.738502:0.342223:0.747716:0.342223:0.747716:0.324618:0.738502:0.324618:0.000000 U:@0.583249:0.500055:0.594306:0.500055:0.594306:0.483694:0.583249:0.483694:0.000000 min:@0.594304:0.501966:0.610591:0.501966:0.610591:0.492428:0.594304:0.492428:0.000000:0.000000:0.000000 = –9, :@0.610591:0.500060:0.659129:0.500060:0.659129:0.483671:0.610591:0.483671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 U:@0.659129:0.500060:0.670186:0.500060:0.670186:0.483699:0.659129:0.483699:0.000000 max:@0.670184:0.501966:0.688469:0.501966:0.688469:0.492428:0.670184:0.492428:0.000000:0.000000:0.000000 = 6 :@0.688469:0.500060:0.720552:0.500060:0.720552:0.483671:0.688469:0.483671:0.000000:0.000000:0.000000:0.000000:0.000000 U:@0.583247:0.664115:0.594304:0.664115:0.594304:0.647754:0.583247:0.647754:0.000000 min:@0.594304:0.666023:0.610591:0.666023:0.610591:0.656484:0.594304:0.656484:0.000000:0.000000:0.000000 = 1, :@0.610591:0.664116:0.649915:0.664116:0.649915:0.647728:0.610591:0.647728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 U:@0.649915:0.664116:0.660972:0.664116:0.660972:0.647755:0.649915:0.647755:0.000000 max:@0.660970:0.666023:0.679255:0.666023:0.679255:0.656484:0.660970:0.656484:0.000000:0.000000:0.000000 = 9 :@0.679255:0.664116:0.711338:0.664116:0.711338:0.647728:0.679255:0.647728:0.000000:0.000000:0.000000:0.000000:0.000000 U:@0.583247:0.829333:0.594304:0.829333:0.594304:0.812972:0.583247:0.812972:0.000000 min:@0.594304:0.831240:0.610591:0.831240:0.610591:0.821701:0.594304:0.821701:0.000000:0.000000:0.000000 = –2, :@0.610591:0.829333:0.659129:0.829333:0.659129:0.812944:0.610591:0.812944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 U:@0.659129:0.829333:0.670186:0.829333:0.670186:0.812972:0.659129:0.812972:0.000000 max:@0.670184:0.831240:0.688469:0.831240:0.688469:0.821701:0.670184:0.821701:0.000000:0.000000:0.000000 = 1 :@0.688469:0.829333:0.720552:0.829333:0.720552:0.812944:0.688469:0.812944:0.000000:0.000000:0.000000:0.000000:0.000000 6 1 :@0.233477:0.742908:0.280310:0.742908:0.280310:0.726519:0.233477:0.726519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 25 5:@0.230990:0.763861:0.274874:0.763861:0.274874:0.747472:0.230990:0.747472:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.248735:0.751289:0.259036:0.751289:0.259036:0.734900:0.248735:0.734900:0.000000:0.000000 ,:@0.252218:0.751289:0.255554:0.751289:0.255554:0.734928:0.252218:0.734928:0.000000 :@0.277675:0.751289:0.281711:0.751289:0.281711:0.734900:0.277675:0.734900:0.000000 1 :@0.238815:0.792238:0.257279:0.792238:0.257279:0.775849:0.238815:0.775849:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.238815:0.813191:0.251843:0.813191:0.251843:0.796802:0.238815:0.796802:0.000000:0.000000 0:@0.254091:0.800619:0.273385:0.800619:0.273385:0.784230:0.254091:0.784230:0.000000:0.000000:0.000000 ,:@0.257574:0.800619:0.260909:0.800619:0.260909:0.784258:0.257574:0.784258:0.000000 1:@0.383125:0.801549:0.391300:0.801549:0.391300:0.786650:0.383125:0.786650:0.000000 –:@0.383125:0.753998:0.391501:0.753998:0.391501:0.739099:0.383125:0.739099:0.000000 1 :@0.395719:0.745505:0.414184:0.745505:0.414184:0.729116:0.395719:0.729116:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.395719:0.766458:0.408748:0.766458:0.408748:0.750069:0.395719:0.750069:0.000000:0.000000 A:@0.218197:0.422261:0.227998:0.422261:0.227998:0.407362:0.218197:0.407362:0.000000 D:@0.285793:0.422261:0.296632:0.422261:0.296632:0.407362:0.285793:0.407362:0.000000 C:@0.297470:0.395216:0.307019:0.395216:0.307019:0.380317:0.297470:0.380317:0.000000 B:@0.236592:0.247622:0.245052:0.247622:0.245052:0.232723:0.236592:0.232723:0.000000