﻿162:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Aplicaciones de la derivada:@0.073089:0.043661:0.316384:0.043661:0.316384:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sustituimos   = 1000 y   = 0,3662. Queremos evaluar esta derivada en   = 5 horas::@0.293660:0.136836:0.889811:0.136836:0.889811:0.120402:0.293660:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.382475:0.136836:0.393722:0.136836:0.393722:0.120430:0.382475:0.120430:0.000000
0:@0.393663:0.137487:0.398900:0.137487:0.398900:0.127906:0.393663:0.127906:0.000000
k:@0.469168:0.136836:0.476734:0.136836:0.476734:0.120430:0.469168:0.120430:0.000000
t:@0.809684:0.136836:0.815059:0.136836:0.815059:0.120430:0.809684:0.120430:0.000000
 :@0.481483:0.168206:0.485514:0.168206:0.485514:0.151772:0.481483:0.151772:0.000000
dN:@0.488394:0.160732:0.508826:0.160732:0.508826:0.144326:0.488394:0.144326:0.000000:0.000000
dt:@0.491339:0.177125:0.505899:0.177125:0.505899:0.160719:0.491339:0.160719:0.000000:0.000000
  :@0.511697:0.168207:0.520014:0.168200:0.520014:0.151766:0.511697:0.151774:0.000000:0.000000
t:@0.519934:0.176415:0.523067:0.176415:0.523067:0.166850:0.519934:0.166850:0.000000
 = 5:@0.523024:0.176415:0.539229:0.176415:0.539229:0.166834:0.523024:0.166834:0.000000:0.000000:0.000000:0.000000
=:@0.539173:0.167784:0.549278:0.167784:0.549278:0.150795:0.539173:0.150795:0.000000
 1000 :@0.549186:0.168200:0.592811:0.168200:0.592811:0.151766:0.549186:0.151766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
× :@0.592701:0.168782:0.612544:0.168782:0.612544:0.151128:0.592701:0.151128:0.000000:0.000000
0.3662   :@0.612544:0.168200:0.683302:0.168200:0.683302:0.151766:0.612544:0.151766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.664029:0.168782:0.679362:0.168782:0.679362:0.151128:0.664029:0.151128:0.000000
e:@0.683228:0.168200:0.691014:0.168200:0.691014:0.151794:0.683228:0.151794:0.000000
0.3662 5:@0.690939:0.162136:0.732834:0.162136:0.732834:0.152555:0.690939:0.152555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.718712:0.162475:0.727651:0.162475:0.727651:0.152183:0.718712:0.152183:0.000000
.:@0.732785:0.168200:0.735988:0.168200:0.735988:0.151766:0.732785:0.151766:0.000000
Calculamos el exponente::@0.293662:0.208431:0.480646:0.208431:0.480646:0.191998:0.293662:0.191998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,3662   5 = 1,831:@0.541644:0.235793:0.678981:0.235793:0.678981:0.219360:0.541644:0.219360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.593221:0.236376:0.608555:0.236376:0.608555:0.218722:0.593221:0.218722:0.000000
Ahora, calculamos :@0.293643:0.263155:0.430317:0.263155:0.430317:0.246721:0.293643:0.246721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.430115:0.263155:0.437901:0.263155:0.437901:0.246749:0.430115:0.246749:0.000000
1.831:@0.437854:0.257091:0.460497:0.257091:0.460497:0.247510:0.437854:0.247510:0.000000:0.000000:0.000000:0.000000:0.000000
   6,239. Entonces::@0.460435:0.263155:0.599734:0.263155:0.599734:0.246721:0.460435:0.246721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≈:@0.464392:0.263738:0.479726:0.263738:0.479726:0.246084:0.464392:0.246084:0.000000
 :@0.375246:0.294525:0.379277:0.294525:0.379277:0.278091:0.375246:0.278091:0.000000
dN:@0.382140:0.287051:0.402572:0.287051:0.402572:0.270645:0.382140:0.270645:0.000000:0.000000
dt:@0.385086:0.303444:0.399646:0.303444:0.399646:0.287038:0.385086:0.287038:0.000000:0.000000
  :@0.405444:0.294526:0.413761:0.294519:0.413761:0.278085:0.405444:0.278093:0.000000:0.000000
t:@0.413680:0.302734:0.416814:0.302734:0.416814:0.293169:0.413680:0.293169:0.000000
 = 5:@0.416771:0.302734:0.432976:0.302734:0.432976:0.293153:0.416771:0.293153:0.000000:0.000000:0.000000:0.000000
=:@0.432919:0.294103:0.443025:0.294103:0.443025:0.277114:0.432919:0.277114:0.000000
 1000   0,3662   6,239   2283,4 bacterias por hora.:@0.442933:0.294519:0.824734:0.294519:0.824734:0.278085:0.442933:0.278085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.486448:0.295101:0.501781:0.295101:0.501781:0.277447:0.486448:0.277447:0.000000
×:@0.557224:0.295101:0.572557:0.295101:0.572557:0.277447:0.557224:0.277447:0.000000
≈:@0.619090:0.295101:0.634424:0.295101:0.634424:0.277447:0.619090:0.277447:0.000000
Paso 3::@0.293668:0.333960:0.345960:0.333960:0.345960:0.317290:0.293668:0.317290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 interpretemos los resultados:@0.345853:0.333960:0.556156:0.333960:0.556156:0.317526:0.345853:0.317526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.293660:0.361317:0.302680:0.361317:0.302680:0.344647:0.293660:0.344647:0.000000:0.000000
La constante de crecimiento   = 0,3662 nos indica la rapidez con la que crece la :@0.323858:0.361317:0.930637:0.361317:0.930637:0.344647:0.323858:0.344647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.543291:0.361317:0.551685:0.361317:0.551685:0.344633:0.543291:0.344633:0.000000
población. Un valor positivo de   refleja que la población crece de forma :@0.323784:0.377959:0.930920:0.377959:0.930920:0.361289:0.323784:0.361289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.588076:0.377959:0.596469:0.377959:0.596469:0.361275:0.588076:0.361275:0.000000
exponencial con el tiempo.:@0.323784:0.394601:0.528278:0.394601:0.528278:0.377931:0.323784:0.377931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.293660:0.418390:0.302680:0.418390:0.302680:0.401720:0.293660:0.401720:0.000000:0.000000
En el instante   = 5 horas, la población de bacterias aumenta a una tasa de 2283,4 :@0.323858:0.418390:0.930488:0.418390:0.930488:0.401720:0.323858:0.401720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.427804:0.418390:0.433565:0.418390:0.433565:0.401706:0.427804:0.401706:0.000000
bacterias por hora.:@0.323784:0.435031:0.465373:0.435031:0.465373:0.418362:0.323784:0.418362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.293660:0.458822:0.302680:0.458822:0.302680:0.442152:0.293660:0.442152:0.000000:0.000000
Dado que el crecimiento es exponencial, la tasa de crecimiento aumenta con el :@0.323858:0.458822:0.930539:0.458822:0.930539:0.442152:0.323858:0.442152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo. Es decir, mientras más tiempo pase, más rápido crecerá la población.:@0.323784:0.475464:0.902358:0.475464:0.902358:0.458794:0.323784:0.458794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conclusión:@0.293670:0.506403:0.378450:0.506403:0.378450:0.489734:0.293670:0.489734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Este modelo muestra que las bacterias se multiplican rápidamente debido al crecimiento :@0.293670:0.530187:0.930473:0.530187:0.930473:0.513754:0.293670:0.513754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponencial. Si el entorno sigue siendo favorable, la población continuará creciendo :@0.293670:0.546829:0.931007:0.546829:0.931007:0.530395:0.293670:0.530395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada vez más rápido. Sin embargo, en la realidad, recursos limitados como nutrientes :@0.293670:0.563471:0.930760:0.563471:0.930760:0.547037:0.293670:0.547037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pueden eventualmente limitar el crecimiento.:@0.293670:0.580113:0.625697:0.580113:0.625697:0.563679:0.293670:0.563679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4. :@0.293670:0.611053:0.377018:0.611053:0.377018:0.594383:0.293670:0.594383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Costo y utilidad marginal.:@0.376889:0.611053:0.560594:0.611053:0.560594:0.594619:0.376889:0.594619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dadas una función de costo  ( ) y una función de utilidad  ( ) en una compañía, las :@0.293670:0.634837:0.931021:0.634837:0.931021:0.618403:0.293670:0.618403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C x:@0.509053:0.634837:0.531455:0.634837:0.531455:0.618431:0.509053:0.618431:0.000000:0.000000:0.000000
U x:@0.734524:0.634837:0.758067:0.634837:0.758067:0.618431:0.734524:0.618431:0.000000:0.000000:0.000000
cuales dependen del número de unidades producidas y vendidas. Si el número de :@0.293725:0.651479:0.931277:0.651479:0.931277:0.635045:0.293725:0.635045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unidades producidas y vendidas se incrementa desde   hasta   unidades, entonces el :@0.293725:0.668120:0.930977:0.668124:0.930977:0.651690:0.293725:0.651687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.690512:0.668120:0.697967:0.668120:0.697967:0.651714:0.690512:0.651714:0.000000
1:@0.697853:0.671297:0.703090:0.671297:0.703090:0.661716:0.697853:0.661716:0.000000
x:@0.750657:0.668124:0.758112:0.668124:0.758112:0.651718:0.750657:0.651718:0.000000
2:@0.758070:0.671297:0.763307:0.671297:0.763307:0.661716:0.758070:0.661716:0.000000
costo y la utilidad adicionales serían::@0.293667:0.684766:0.555652:0.684766:0.555652:0.668332:0.293667:0.668332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆  =  ( ) –  ( ):@0.293667:0.712128:0.413123:0.712129:0.413123:0.695695:0.293667:0.695694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.303386:0.712128:0.313289:0.712128:0.313289:0.695722:0.303386:0.695722:0.000000
C x:@0.332009:0.712128:0.354098:0.712128:0.354098:0.695722:0.332009:0.695722:0.000000:0.000000:0.000000
2:@0.354023:0.715302:0.359259:0.715302:0.359259:0.705721:0.354023:0.705721:0.000000
C x:@0.381024:0.712129:0.403113:0.712129:0.403113:0.695723:0.381024:0.695723:0.000000:0.000000:0.000000
1:@0.403056:0.715302:0.408293:0.715302:0.408293:0.705721:0.403056:0.705721:0.000000
∆ =  ( ) –  ( ).:@0.293660:0.728771:0.418973:0.728771:0.418973:0.712337:0.293660:0.712337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U  U x:@0.303379:0.728771:0.355674:0.728771:0.355674:0.712365:0.303379:0.712365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.355601:0.731943:0.360837:0.731943:0.360837:0.722363:0.355601:0.722363:0.000000
U x:@0.382604:0.728771:0.405834:0.728771:0.405834:0.712365:0.382604:0.712365:0.000000:0.000000:0.000000
1:@0.405775:0.731943:0.411012:0.731943:0.411012:0.722363:0.405775:0.722363:0.000000
Y las razones de cambio promedio de costo y utilidad serían::@0.293657:0.756133:0.731057:0.756133:0.731057:0.739699:0.293657:0.739699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.442479:0.789583:0.446511:0.789583:0.446511:0.773149:0.442479:0.773149:0.000000
∆C:@0.450299:0.782117:0.468890:0.782117:0.468890:0.765711:0.450299:0.765711:0.000000:0.000000
∆x:@0.451532:0.798509:0.467676:0.798509:0.467676:0.782103:0.451532:0.782103:0.000000:0.000000
 =  :@0.472682:0.789592:0.495526:0.789592:0.495526:0.773158:0.472682:0.773158:0.000000:0.000000:0.000000:0.000000
C(x )  C(x  ):@0.507736:0.780031:0.591439:0.780031:0.591439:0.763624:0.507736:0.763624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.529773:0.780681:0.535010:0.780681:0.535010:0.771100:0.529773:0.771100:0.000000
– :@0.543027:0.780031:0.556188:0.780031:0.556188:0.763597:0.543027:0.763597:0.000000:0.000000
1:@0.578133:0.780681:0.583369:0.780681:0.583369:0.771100:0.578133:0.771100:0.000000
x x:@0.532426:0.796423:0.561591:0.796420:0.561591:0.780014:0.532426:0.780017:0.000000:0.000000:0.000000
2:@0.539817:0.797071:0.545054:0.797071:0.545054:0.787490:0.539817:0.787490:0.000000
–:@0.545006:0.796420:0.554210:0.796420:0.554210:0.779986:0.545006:0.779986:0.000000
1:@0.561519:0.797071:0.566756:0.797071:0.566756:0.787490:0.561519:0.787490:0.000000
 = :@0.603683:0.789586:0.622569:0.789586:0.622569:0.773152:0.603683:0.773152:0.000000:0.000000:0.000000
 C(x + ∆x)  C (x  ):@0.635943:0.780624:0.758679:0.780624:0.758679:0.764218:0.635943:0.764218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 :@0.661228:0.781275:0.668772:0.781275:0.668772:0.771694:0.661228:0.771694:0.000000:0.000000
– :@0.707007:0.780624:0.720168:0.780624:0.720168:0.764191:0.707007:0.764191:0.000000:0.000000
1:@0.745371:0.781275:0.750608:0.781275:0.750608:0.771694:0.745371:0.771694:0.000000
∆x:@0.689247:0.797017:0.705390:0.797017:0.705390:0.780610:0.689247:0.780610:0.000000:0.000000
 :@0.772172:0.789583:0.776203:0.789583:0.776203:0.773149:0.772172:0.773149:0.000000
 :@0.442498:0.830175:0.446529:0.830175:0.446529:0.813742:0.442498:0.813742:0.000000
∆C:@0.450299:0.822716:0.468890:0.822716:0.468890:0.806309:0.450299:0.806309:0.000000:0.000000
∆x:@0.451532:0.839108:0.467676:0.839108:0.467676:0.822702:0.451532:0.822702:0.000000:0.000000
 =  :@0.472682:0.830191:0.495526:0.830191:0.495526:0.813757:0.472682:0.813757:0.000000:0.000000:0.000000:0.000000
U(x )  U(x  ):@0.506595:0.820629:0.592581:0.820629:0.592581:0.804223:0.506595:0.804223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.529773:0.821280:0.535010:0.821280:0.535010:0.811699:0.529773:0.811699:0.000000
– :@0.543027:0.820629:0.556188:0.820629:0.556188:0.804195:0.543027:0.804195:0.000000:0.000000
1:@0.579274:0.821280:0.584511:0.821280:0.584511:0.811699:0.579274:0.811699:0.000000
x x:@0.532426:0.837021:0.561591:0.837019:0.561591:0.820613:0.532426:0.820615:0.000000:0.000000:0.000000
2:@0.539817:0.837670:0.545054:0.837670:0.545054:0.828089:0.539817:0.828089:0.000000
–:@0.545006:0.837019:0.554210:0.837019:0.554210:0.820585:0.545006:0.820585:0.000000
1:@0.561519:0.837670:0.566756:0.837670:0.566756:0.828089:0.561519:0.828089:0.000000
 = :@0.603683:0.830183:0.622569:0.830183:0.622569:0.813749:0.603683:0.813749:0.000000:0.000000:0.000000
U (x + ∆x)  U (x  ):@0.634802:0.821223:0.759820:0.821223:0.759820:0.804817:0.634802:0.804817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 :@0.661228:0.821874:0.668772:0.821874:0.668772:0.812293:0.661228:0.812293:0.000000:0.000000
– :@0.707007:0.821223:0.720168:0.821223:0.720168:0.804789:0.707007:0.804789:0.000000:0.000000
1:@0.746512:0.821874:0.751749:0.821874:0.751749:0.812293:0.746512:0.812293:0.000000
∆x:@0.689247:0.837615:0.705390:0.837615:0.705390:0.821209:0.689247:0.821209:0.000000:0.000000
 :@0.772172:0.830182:0.776203:0.830182:0.776203:0.813748:0.772172:0.813748:0.000000
Cuando :@0.293675:0.868264:0.354874:0.868264:0.354874:0.851830:0.293675:0.851830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆x :@0.354235:0.868264:0.373471:0.868264:0.373471:0.851858:0.354235:0.851858:0.000000:0.000000:0.000000
0 se da un cambio instantáneo en el costo y en la utilidad y recibe el nombre :@0.385477:0.868268:0.931127:0.868268:0.931127:0.851834:0.385477:0.851834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de :@0.293662:0.884909:0.316487:0.884909:0.316487:0.868476:0.293662:0.868476:0.000000:0.000000:0.000000
costo marginal utilidad marginal:@0.316082:0.884909:0.572764:0.884909:0.572764:0.868240:0.316082:0.868240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.428219:0.884909:0.443911:0.884909:0.443911:0.868476:0.428219:0.868476:0.000000:0.000000:0.000000
, que significan el costo o la utilidad de producir y :@0.572624:0.884909:0.931221:0.884909:0.931221:0.868476:0.572624:0.868476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vender una unidad adicional.:@0.293662:0.901551:0.504171:0.901551:0.504171:0.885117:0.293662:0.885117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Costo marginal =  :@0.293662:0.932921:0.426323:0.932921:0.426323:0.916487:0.293662:0.916487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆x:@0.430503:0.936389:0.441510:0.936389:0.441510:0.925203:0.430503:0.925203:0.000000:0.000000
→:@0.441469:0.935828:0.452204:0.935828:0.452204:0.925789:0.441469:0.925789:0.000000
0:@0.452148:0.936389:0.458273:0.936389:0.458273:0.925184:0.452148:0.925184:0.000000
lím:@0.432817:0.928844:0.455495:0.928844:0.455495:0.912410:0.432817:0.912410:0.000000:0.000000:0.000000
 :@0.462453:0.932921:0.466484:0.932921:0.466484:0.916487:0.462453:0.916487:0.000000
∆C:@0.470259:0.925447:0.488851:0.925447:0.488851:0.909041:0.470259:0.909041:0.000000:0.000000
∆x:@0.471493:0.941839:0.487636:0.941839:0.487636:0.925433:0.471493:0.925433:0.000000:0.000000
 = :@0.492643:0.932922:0.511528:0.932922:0.511528:0.916488:0.492643:0.916488:0.000000:0.000000:0.000000
dC:@0.512556:0.926339:0.531644:0.926339:0.531644:0.909933:0.512556:0.909933:0.000000:0.000000
dx:@0.513789:0.942731:0.530429:0.942731:0.530429:0.926325:0.513789:0.926325:0.000000:0.000000
 =  ' ( ).:@0.532712:0.932912:0.591928:0.932912:0.591928:0.916479:0.532712:0.916479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C  x:@0.551506:0.932912:0.583994:0.932912:0.583994:0.916506:0.551506:0.916506:0.000000:0.000000:0.000000:0.000000
Cátedra de :@0.080204:0.279329:0.169525:0.279329:0.169525:0.262382:0.080204:0.262382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emprendimiento:@0.080204:0.291937:0.213204:0.291937:0.213204:0.274990:0.080204:0.274990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El costo marginal es lo que :@0.082576:0.313023:0.244257:0.313023:0.244257:0.299577:0.082576:0.299577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuesta producir una unidad :@0.082576:0.326639:0.249831:0.326639:0.249831:0.313193:0.082576:0.313193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adicional, mientras que la :@0.082576:0.340255:0.236774:0.340255:0.236774:0.326809:0.082576:0.326809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilidad marginal es lo que se :@0.082576:0.353871:0.259133:0.353871:0.259133:0.340425:0.082576:0.340425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gana al vender una unidad :@0.082576:0.367487:0.244952:0.367487:0.244952:0.354041:0.082576:0.354041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adicional. ¿Por qué son :@0.082576:0.381103:0.221572:0.381103:0.221572:0.367657:0.082576:0.367657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
importantes?:@0.082576:0.394719:0.161330:0.394719:0.161330:0.381273:0.082576:0.381273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.082576:0.408335:0.089534:0.408335:0.089534:0.394889:0.082576:0.394889:0.000000:0.000000
Optimización: ayudan :@0.112697:0.408335:0.245795:0.408335:0.245795:0.394889:0.112697:0.394889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a encontrar el punto :@0.112697:0.421951:0.237587:0.421951:0.237587:0.408505:0.112697:0.408505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exacto donde producir :@0.112697:0.435567:0.252306:0.435567:0.252306:0.422121:0.112697:0.422121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para maximizar las :@0.112697:0.449183:0.225259:0.449183:0.225259:0.435737:0.112697:0.435737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ganancias.:@0.112697:0.462799:0.174936:0.462799:0.174936:0.449353:0.112697:0.449353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.082576:0.476415:0.089534:0.476415:0.089534:0.462970:0.082576:0.462970:0.000000:0.000000
Toma de decisiones: :@0.112697:0.476415:0.235946:0.476415:0.235946:0.462970:0.112697:0.462970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sirven para decidir si :@0.112697:0.490031:0.236694:0.490031:0.236694:0.476586:0.112697:0.476586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expandir la producción, :@0.112697:0.503647:0.256143:0.503647:0.256143:0.490202:0.112697:0.490202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bajar o subir los precios, :@0.112697:0.517264:0.257521:0.517264:0.257521:0.503818:0.112697:0.503818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o lanzar nuevos :@0.112697:0.530880:0.208968:0.530880:0.208968:0.517434:0.112697:0.517434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
productos.:@0.112697:0.544496:0.176454:0.544496:0.176454:0.531050:0.112697:0.531050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.082576:0.558112:0.089534:0.558112:0.089534:0.544666:0.082576:0.544666:0.000000:0.000000
Eficiencia: permiten :@0.112697:0.558112:0.232454:0.558112:0.232454:0.544666:0.112697:0.544666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identificar áreas donde :@0.112697:0.571728:0.251518:0.571728:0.251518:0.558282:0.112697:0.558282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se pueden reducir :@0.112697:0.585344:0.223808:0.585344:0.223808:0.571898:0.112697:0.571898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
costos y mejorar la :@0.112697:0.598960:0.226593:0.598960:0.226593:0.585514:0.112697:0.585514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rentabilidad.:@0.112697:0.612576:0.186588:0.612576:0.186588:0.599130:0.112697:0.599130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si fabricar una unidad :@0.082576:0.626192:0.214770:0.626192:0.214770:0.612746:0.082576:0.612746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adicional de tu producto :@0.082576:0.639808:0.232923:0.639808:0.232923:0.626362:0.082576:0.626362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuesta más de lo que ganas :@0.082576:0.653424:0.250500:0.653424:0.250500:0.639978:0.082576:0.639978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al venderla, ¿crees que :@0.082576:0.667040:0.219668:0.667040:0.219668:0.653594:0.082576:0.653594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sería una buena idea seguir :@0.082576:0.680656:0.248566:0.680656:0.248566:0.667210:0.082576:0.667210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
produciendo más? ¿Por qué?:@0.082576:0.694272:0.254285:0.694272:0.254285:0.680826:0.082576:0.680826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000