:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
c):@0.102121:0.686141:0.114686:0.686141:0.114686:0.670776:0.102121:0.670776:0.000000:0.000000
 ¿Cuáles son las características de esta función? :@0.114686:0.686141:0.431018:0.686141:0.431018:0.671242:0.114686:0.671242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3.:@0.102121:0.708596:0.154372:0.708596:0.154372:0.693018:0.102121:0.693018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dominio::@0.102121:0.730812:0.166316:0.730812:0.166316:0.715700:0.102121:0.715700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 representa los valores que puede tomar la variable  , es decir, la cantidad de :@0.166316:0.730812:0.677610:0.730812:0.677610:0.715913:0.166316:0.715913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.509250:0.730812:0.516034:0.730812:0.516034:0.715939:0.509250:0.715939:0.000000
bufandas producidas.:@0.102121:0.745900:0.245470:0.745900:0.245470:0.731001:0.102121:0.731001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizamos que no se pueden producir bufandas negativas, por lo tanto, el dominio es::@0.102121:0.768117:0.682451:0.768117:0.682451:0.753218:0.102121:0.753218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom C:@0.102121:0.784713:0.151641:0.784713:0.151641:0.769839:0.102121:0.769839:0.000000:0.000000:0.000000:0.000000:0.000000
 ( ) = :@0.134520:0.784713:0.173403:0.784713:0.173403:0.769814:0.134520:0.769814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[0, +∞[,:@0.173402:0.785022:0.226731:0.785022:0.226731:0.768633:0.173402:0.768633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recorrido: :@0.102121:0.806924:0.176870:0.806924:0.176870:0.791812:0.102121:0.791812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son los valores que puede tomar  ( ), es decir, los costos totales de producción.:@0.176870:0.806924:0.705015:0.806924:0.705015:0.792025:0.176870:0.792025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C x:@0.398367:0.806924:0.418604:0.806924:0.418604:0.792051:0.398367:0.792051:0.000000:0.000000:0.000000
Rec C x:@0.102121:0.823521:0.148274:0.823521:0.148274:0.808647:0.102121:0.808647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.137050:0.823521:0.170035:0.823521:0.170035:0.808622:0.137050:0.808622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[100, +∞[:@0.170034:0.823835:0.238143:0.823835:0.238143:0.807446:0.170034:0.807446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Monotonía: :@0.102121:0.845736:0.186336:0.845736:0.186336:0.830623:0.102121:0.830623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su pendiente   = 5, es positiva, por lo tanto, es creciente.:@0.186336:0.845736:0.567211:0.845736:0.567211:0.830837:0.186336:0.830837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.278087:0.845736:0.291388:0.845736:0.291388:0.830862:0.278087:0.830862:0.000000
Corte eje  ::@0.102121:0.869461:0.179383:0.869461:0.179383:0.854349:0.102121:0.854349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.168528:0.869461:0.175916:0.869461:0.175916:0.854336:0.168528:0.854336:0.000000
 si   = 0, tenemos que 5  + 100 = 0, entonces   =   20. :@0.179383:0.869461:0.542366:0.869460:0.542366:0.854561:0.179383:0.854562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.196471:0.869461:0.203272:0.869461:0.203272:0.854587:0.196471:0.854587:0.000000
x:@0.336151:0.869461:0.342935:0.869461:0.342935:0.854587:0.336151:0.854587:0.000000
x:@0.482448:0.869461:0.489232:0.869461:0.489232:0.854587:0.482448:0.854587:0.000000
–:@0.506550:0.869774:0.515764:0.869774:0.515764:0.853386:0.506550:0.853386:0.000000
El punto de corte en   es: ( 20, 0).:@0.102113:0.886056:0.325713:0.886056:0.325713:0.871157:0.102113:0.871157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.242179:0.886056:0.248963:0.886056:0.248963:0.871183:0.242179:0.871183:0.000000
–:@0.278035:0.886371:0.287249:0.886371:0.287249:0.869982:0.278035:0.869982:0.000000
Corte eje  ::@0.102118:0.908273:0.179380:0.908273:0.179380:0.893160:0.102118:0.893160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.168525:0.908273:0.175913:0.908273:0.175913:0.893148:0.168525:0.893148:0.000000
 es el punto (0,  ); entonces es el punto (0, 100).:@0.179380:0.908273:0.494689:0.908273:0.494689:0.893374:0.179380:0.893374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.280413:0.908273:0.288839:0.908273:0.288839:0.893399:0.280413:0.893399:0.000000
a):@0.102121:0.385685:0.115674:0.385685:0.115674:0.370320:0.102121:0.370320:0.000000:0.000000
 ¿Cuál es el valor de la pendiente?:@0.115674:0.385685:0.339900:0.385685:0.339900:0.370786:0.115674:0.370786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.358483:0.385685:0.373225:0.385685:0.373225:0.370320:0.358483:0.370320:0.000000:0.000000
 ¿Cuál es el costo de producir 0, 10 y 25 bufandas?:@0.373225:0.385685:0.697619:0.385685:0.697619:0.370786:0.373225:0.370786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.412603:0.154372:0.412603:0.154372:0.397025:0.102121:0.397025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identicamos las variables y :@0.157756:0.412603:0.346219:0.412603:0.346219:0.397704:0.157756:0.397704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.200240:0.412603:0.203909:0.412603:0.203909:0.397704:0.200240:0.397704:0.000000
analizamos qué signican.:@0.102121:0.427691:0.276328:0.427691:0.276328:0.412792:0.102121:0.412792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.245302:0.427691:0.248971:0.427691:0.248971:0.412792:0.245302:0.412792:0.000000
Costo variable por cada bufanda: 5 ::@0.102121:0.449908:0.342852:0.449908:0.342852:0.435009:0.102121:0.435009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.333152:0.449908:0.339937:0.449908:0.339937:0.435034:0.333152:0.435034:0.000000
Costo jo de producción diaria: 100:@0.102121:0.472124:0.337992:0.472124:0.337992:0.457225:0.102121:0.457225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148442:0.472124:0.152110:0.472124:0.152110:0.457225:0.148442:0.457225:0.000000
y:@0.102121:0.494341:0.108923:0.494341:0.108923:0.479467:0.102121:0.479467:0.000000
: costo total de producción:@0.108923:0.494341:0.287954:0.494341:0.287954:0.479442:0.108923:0.479442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una función afín que tiene la :@0.102121:0.516557:0.314106:0.516557:0.314106:0.501658:0.102121:0.501658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma   = :@0.102121:0.531645:0.169349:0.531645:0.169349:0.516746:0.102121:0.516746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.145225:0.531645:0.152027:0.531645:0.152027:0.516771:0.145225:0.516771:0.000000
mx:@0.169349:0.531645:0.189435:0.531645:0.189435:0.516771:0.169349:0.516771:0.000000:0.000000
 +  , es decir: :@0.189435:0.531645:0.279846:0.531645:0.279846:0.516746:0.189435:0.516746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.206757:0.531645:0.215183:0.531645:0.215183:0.516771:0.206757:0.516771:0.000000
y:@0.102121:0.553861:0.108923:0.553861:0.108923:0.538987:0.102121:0.538987:0.000000
 = 5  + 100, donde la pendiente es :@0.108923:0.553861:0.343352:0.553861:0.343352:0.538962:0.108923:0.538962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.134420:0.553861:0.141205:0.553861:0.141205:0.538987:0.134420:0.538987:0.000000
m:@0.102121:0.568949:0.115423:0.568949:0.115423:0.554075:0.102121:0.554075:0.000000
 = 5.:@0.115423:0.568949:0.143835:0.568949:0.143835:0.554050:0.115423:0.554050:0.000000:0.000000:0.000000:0.000000:0.000000
La pendiente de la función es 5.:@0.102121:0.591165:0.313501:0.591165:0.313501:0.576266:0.102121:0.576266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.358483:0.412603:0.410734:0.412603:0.410734:0.397025:0.358483:0.397025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Construimos una tabla de valores :@0.414118:0.412603:0.640121:0.412603:0.640121:0.397704:0.414118:0.397704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y gracamos la función.:@0.358483:0.427691:0.515654:0.427691:0.515654:0.412792:0.358483:0.412792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.395104:0.427691:0.398773:0.427691:0.398773:0.412792:0.395104:0.412792:0.000000
x:@0.396540:0.451981:0.403325:0.451981:0.403325:0.437107:0.396540:0.437107:0.000000
0:@0.478225:0.451981:0.486400:0.451981:0.486400:0.437082:0.478225:0.437082:0.000000
10:@0.556526:0.451981:0.572876:0.451981:0.572876:0.437082:0.556526:0.437082:0.000000:0.000000
25:@0.645430:0.451981:0.661781:0.451981:0.661781:0.437082:0.645430:0.437082:0.000000:0.000000
y:@0.396523:0.471846:0.403325:0.471846:0.403325:0.456972:0.396523:0.456972:0.000000
100:@0.470050:0.471846:0.494575:0.471846:0.494575:0.456947:0.470050:0.456947:0.000000:0.000000:0.000000
150:@0.552438:0.471846:0.576963:0.471846:0.576963:0.456947:0.552438:0.456947:0.000000:0.000000:0.000000
225:@0.641343:0.471846:0.665868:0.471846:0.665868:0.456947:0.641343:0.456947:0.000000:0.000000:0.000000
–50:@0.430219:0.612948:0.442490:0.612948:0.442490:0.606122:0.430219:0.606122:0.000000:0.000000:0.000000
50:@0.433693:0.591837:0.441943:0.591837:0.441943:0.585012:0.433693:0.585012:0.000000:0.000000
100:@0.429568:0.580799:0.441943:0.580799:0.441943:0.573974:0.429568:0.573974:0.000000:0.000000:0.000000
150:@0.429568:0.570516:0.441943:0.570516:0.441943:0.563690:0.429568:0.563690:0.000000:0.000000:0.000000
200:@0.429568:0.559731:0.441943:0.559731:0.441943:0.552905:0.429568:0.552905:0.000000:0.000000:0.000000
250:@0.429568:0.549447:0.441943:0.549447:0.441943:0.542622:0.429568:0.542622:0.000000:0.000000:0.000000
300:@0.429568:0.538409:0.441943:0.538409:0.441943:0.531584:0.429568:0.531584:0.000000:0.000000:0.000000
350:@0.429568:0.528126:0.441943:0.528126:0.441943:0.521300:0.429568:0.521300:0.000000:0.000000:0.000000
400:@0.429568:0.517341:0.441943:0.517341:0.441943:0.510515:0.429568:0.510515:0.000000:0.000000:0.000000
450:@0.429568:0.507057:0.441943:0.507057:0.441943:0.500232:0.429568:0.500232:0.000000:0.000000:0.000000
500:@0.429568:0.495548:0.441943:0.495548:0.441943:0.488723:0.429568:0.488723:0.000000:0.000000:0.000000
–15 –10 –5 0:@0.395988:0.606750:0.442072:0.606750:0.442072:0.599924:0.395988:0.599924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–20:@0.382567:0.606750:0.394838:0.606750:0.394838:0.599924:0.382567:0.599924:0.000000:0.000000:0.000000
–25:@0.367715:0.606750:0.379986:0.606750:0.379986:0.599924:0.367715:0.599924:0.000000:0.000000:0.000000
5:@0.456948:0.606750:0.461073:0.606750:0.461073:0.599924:0.456948:0.599924:0.000000
10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85:@0.469540:0.606750:0.691098:0.606750:0.691098:0.599924:0.469540:0.599924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.437639:0.487268:0.440742:0.487268:0.440742:0.481338:0.437639:0.481338:0.000000
x:@0.695864:0.606267:0.698966:0.606267:0.698966:0.600337:0.695864:0.600337:0.000000
A:@0.446353:0.575222:0.450349:0.575222:0.450349:0.569292:0.446353:0.569292:0.000000
B:@0.473265:0.565690:0.476917:0.565690:0.476917:0.559760:0.473265:0.559760:0.000000
f:@0.673306:0.498457:0.675297:0.498457:0.675297:0.492527:0.673306:0.492527:0.000000
C:@0.514806:0.549711:0.518711:0.549711:0.518711:0.543781:0.514806:0.543781:0.000000
100:@0.429567:0.580799:0.441943:0.580799:0.441943:0.573973:0.429567:0.573973:0.000000:0.000000:0.000000
–25:@0.367714:0.606750:0.379986:0.606750:0.379986:0.599924:0.367714:0.599924:0.000000:0.000000:0.000000
–2:@0.367714:0.606750:0.375860:0.606750:0.375860:0.599924:0.367714:0.599924:0.000000:0.000000
–2:@0.367714:0.606750:0.375860:0.606750:0.375860:0.599924:0.367714:0.599924:0.000000:0.000000
Respondemos: :@0.358489:0.642783:0.465285:0.642783:0.465285:0.627670:0.358489:0.627670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El costo por producir cero bufandas :@0.465285:0.642783:0.706518:0.642783:0.706518:0.627884:0.465285:0.627884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es $100, por 10 bufandas $150 y por 25 $225.:@0.358489:0.657870:0.658172:0.657870:0.658172:0.642971:0.358489:0.642971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos paso a paso:@0.096364:0.331701:0.251257:0.331701:0.251257:0.316337:0.096364:0.316337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.359303:0.110585:0.359303:0.110585:0.342402:0.096359:0.342402:0.000000:0.000000
  Regresamos a nuestro problema inicial y respondemos las preguntas.:@0.110585:0.359303:0.631553:0.359303:0.631553:0.342914:0.110585:0.342914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mira el video del enlace. :@0.754711:0.454658:0.918697:0.454658:0.918697:0.439759:0.754711:0.439759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende cómo dibujar :@0.754711:0.469745:0.909772:0.469745:0.909772:0.454846:0.754711:0.454846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función lineal sin usar :@0.754711:0.484833:0.931399:0.484833:0.931399:0.469934:0.754711:0.469934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la tabla de valores.:@0.754711:0.499920:0.876801:0.499920:0.876801:0.485021:0.754711:0.485021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/11mtc03:@0.754711:0.518566:0.865125:0.518566:0.865125:0.503441:0.754711:0.503441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué sucede con la recta, :@0.754711:0.621665:0.916655:0.621665:0.916655:0.606791:0.754711:0.606791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si la pendiente es negativa?:@0.754711:0.636753:0.924247:0.636753:0.924247:0.621879:0.754711:0.621879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806485:0.422217:0.856955:0.422217:0.856955:0.405316:0.806485:0.405316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente positiva:@0.134459:0.125359:0.269297:0.125359:0.269297:0.109995:0.134459:0.109995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente negativa:@0.340982:0.125359:0.481533:0.125359:0.481533:0.109995:0.340982:0.109995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente nula:@0.563722:0.125359:0.672881:0.125359:0.672881:0.109995:0.563722:0.109995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente no denida:@0.744397:0.125359:0.903979:0.125359:0.903979:0.109995:0.744397:0.109995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.867182:0.125359:0.870650:0.125359:0.870650:0.109995:0.867182:0.109995:0.000000
y:@0.103316:0.147261:0.110118:0.147261:0.110118:0.132388:0.103316:0.132388:0.000000
 =   + :@0.110118:0.147261:0.159973:0.147261:0.159973:0.132362:0.110118:0.132362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.127440:0.147261:0.142651:0.147261:0.142651:0.132388:0.127440:0.132388:0.000000:0.000000
b:@0.159973:0.147261:0.168399:0.147261:0.168399:0.132388:0.159973:0.132388:0.000000
y:@0.186078:0.171780:0.191519:0.171780:0.191519:0.159881:0.186078:0.159881:0.000000
x:@0.246414:0.201674:0.251841:0.201674:0.251841:0.189774:0.246414:0.189774:0.000000
y:@0.311895:0.147263:0.318697:0.147263:0.318697:0.132389:0.311895:0.132389:0.000000
 = –  + :@0.318697:0.147263:0.376928:0.147263:0.376928:0.132364:0.318697:0.132364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.344395:0.147263:0.359606:0.147263:0.359606:0.132389:0.344395:0.132389:0.000000:0.000000
b:@0.376928:0.147263:0.385355:0.147263:0.385355:0.132389:0.376928:0.132389:0.000000
y:@0.391787:0.171780:0.397229:0.171780:0.397229:0.159881:0.391787:0.159881:0.000000
x:@0.456023:0.201674:0.461451:0.201674:0.461451:0.189774:0.456023:0.189774:0.000000
y:@0.520106:0.147263:0.526907:0.147263:0.526907:0.132389:0.520106:0.132389:0.000000
 = :@0.526907:0.147263:0.544229:0.147263:0.544229:0.132364:0.526907:0.132364:0.000000:0.000000:0.000000
b:@0.544229:0.147263:0.552656:0.147263:0.552656:0.132389:0.544229:0.132389:0.000000
y:@0.599311:0.171780:0.604752:0.171780:0.604752:0.159881:0.599311:0.159881:0.000000
x:@0.663077:0.203534:0.668505:0.203534:0.668505:0.191635:0.663077:0.191635:0.000000
x:@0.725994:0.147263:0.732779:0.147263:0.732779:0.132389:0.725994:0.132389:0.000000
 = :@0.732779:0.147263:0.750101:0.147263:0.750101:0.132364:0.732779:0.132364:0.000000:0.000000:0.000000
a:@0.750101:0.147263:0.758528:0.147263:0.758528:0.132389:0.750101:0.132389:0.000000
y:@0.805674:0.158938:0.811115:0.158938:0.811115:0.147039:0.805674:0.147039:0.000000
x:@0.869909:0.183420:0.875337:0.183420:0.875337:0.171521:0.869909:0.171521:0.000000
Si la recta es creciente,:@0.103312:0.246183:0.252490:0.246183:0.252490:0.231284:0.103312:0.231284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la pendiente es positiva :@0.103312:0.261271:0.264552:0.261271:0.264552:0.246372:0.103312:0.246372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y se inclina a la derecha.:@0.103312:0.276359:0.262843:0.276359:0.262843:0.261460:0.103312:0.261460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.103312:0.291446:0.116613:0.291446:0.116613:0.276572:0.103312:0.276572:0.000000
 =  ,   > 0:@0.116613:0.291446:0.187744:0.291446:0.187744:0.276547:0.116613:0.276547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a m:@0.133935:0.291446:0.162246:0.291446:0.162246:0.276572:0.133935:0.276572:0.000000:0.000000:0.000000
Si la recta es decreciente,:@0.311896:0.246183:0.478311:0.246183:0.478311:0.231284:0.311896:0.231284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la pendiente es negativa :@0.311896:0.261271:0.479049:0.261271:0.479049:0.246372:0.311896:0.246372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y se inclina a la izquierda.:@0.311896:0.276359:0.478446:0.276359:0.478446:0.261460:0.311896:0.261460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.311896:0.291446:0.325197:0.291446:0.325197:0.276572:0.311896:0.276572:0.000000
 = – ,   < 0:@0.325197:0.291446:0.404704:0.291446:0.404704:0.276547:0.325197:0.276547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a m:@0.350895:0.291446:0.379207:0.291446:0.379207:0.276572:0.350895:0.276572:0.000000:0.000000:0.000000
Si la recta es constante,:@0.520111:0.249955:0.674230:0.249955:0.674230:0.235056:0.520111:0.235056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la pendiente es nula :@0.520111:0.262528:0.658618:0.262528:0.658618:0.247629:0.520111:0.247629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y es paralela al eje  .:@0.520111:0.275101:0.653125:0.275101:0.653125:0.260202:0.520111:0.260202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.643426:0.275101:0.650210:0.275101:0.650210:0.260227:0.643426:0.260227:0.000000
m:@0.520111:0.287674:0.533413:0.287674:0.533413:0.272800:0.520111:0.272800:0.000000
 = 0:@0.533413:0.287674:0.558910:0.287674:0.558910:0.272775:0.533413:0.272775:0.000000:0.000000:0.000000:0.000000
Si la recta es perpendicular :@0.725998:0.238639:0.908328:0.238639:0.908328:0.223740:0.725998:0.223740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al eje  , la pendiente no está :@0.725998:0.253727:0.917845:0.253727:0.917845:0.238828:0.725998:0.238828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.764328:0.253727:0.771112:0.253727:0.771112:0.238853:0.764328:0.238853:0.000000
denida o es innita. Forma :@0.725998:0.268815:0.913404:0.268815:0.913404:0.253916:0.725998:0.253916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.747290:0.268815:0.750959:0.268815:0.750959:0.253916:0.747290:0.253916:0.000000
 :@0.831369:0.268815:0.835038:0.268815:0.835038:0.253916:0.831369:0.253916:0.000000
un ángulo de 90º con el eje  .:@0.725998:0.283902:0.922420:0.283902:0.922420:0.269003:0.725998:0.269003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.912720:0.283902:0.919505:0.283902:0.919505:0.269028:0.912720:0.269028:0.000000
m:@0.725998:0.298990:0.739300:0.298990:0.739300:0.284116:0.725998:0.284116:0.000000
 no está denida.   = ∞:@0.739300:0.298990:0.899049:0.298990:0.899049:0.284091:0.739300:0.284091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.816644:0.298990:0.820312:0.298990:0.820312:0.284091:0.816644:0.284091:0.000000
m:@0.856481:0.298990:0.869782:0.298990:0.869782:0.284116:0.856481:0.284116:0.000000