191:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.597716:0.043660:0.920912:0.043660:0.920912:0.024915:0.597716:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Los ingresos de la empresa están dados por el dinero obtenido por la venta de las :@0.073089:0.136836:0.710697:0.136836:0.710697:0.121124:0.073089:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sillas. Se van a vender   sillas, cada una a U$8. Luego, el ingreso de la empresa está :@0.101557:0.153478:0.710695:0.153478:0.710695:0.137765:0.101557:0.137765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.264166:0.153478:0.271621:0.153478:0.271621:0.137072:0.264166:0.137072:0.000000
dado por :@0.101557:0.170120:0.172590:0.170120:0.172590:0.154407:0.101557:0.154407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.172461:0.170120:0.176290:0.170120:0.176290:0.153714:0.172461:0.153714:0.000000
=:@0.176216:0.170702:0.191550:0.170702:0.191550:0.153048:0.176216:0.153048:0.000000
8:@0.191458:0.170120:0.200440:0.170120:0.200440:0.154407:0.191458:0.154407:0.000000
x.:@0.200367:0.170120:0.211080:0.170120:0.211080:0.153714:0.200367:0.153714:0.000000:0.000000
c.  La utilidad de la empresa es la diferencia entre ingresos y costos. Si esta función es :@0.073089:0.194982:0.710577:0.194982:0.710577:0.179269:0.073089:0.179269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negativa, significa que hay pérdida. Si es positiva, hay ganancia. En este caso, las :@0.101557:0.211624:0.710575:0.211624:0.710575:0.195911:0.101557:0.195911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilidades están dadas por: :@0.101557:0.228265:0.299153:0.228265:0.299153:0.212553:0.101557:0.212553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U I C:@0.298882:0.228265:0.352282:0.228265:0.352282:0.211859:0.298882:0.211859:0.000000:0.000000:0.000000:0.000000:0.000000
= –:@0.310957:0.228848:0.341366:0.228848:0.341366:0.211194:0.310957:0.211194:0.000000:0.000000:0.000000
. Luego :@0.353313:0.228265:0.410498:0.228265:0.410498:0.212553:0.353313:0.212553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.410375:0.228265:0.421419:0.228265:0.421419:0.211859:0.410375:0.211859:0.000000
=:@0.422450:0.228848:0.437783:0.228848:0.437783:0.211194:0.422450:0.211194:0.000000
8:@0.438796:0.228265:0.447779:0.228265:0.447779:0.212553:0.438796:0.212553:0.000000
x:@0.448809:0.228265:0.456264:0.228265:0.456264:0.211859:0.448809:0.211859:0.000000
–:@0.457295:0.228848:0.466499:0.228848:0.466499:0.211194:0.457295:0.211194:0.000000
(5:@0.467511:0.228265:0.482403:0.228265:0.482403:0.212553:0.467511:0.212553:0.000000:0.000000
x:@0.483433:0.228265:0.490888:0.228265:0.490888:0.211859:0.483433:0.211859:0.000000
+:@0.491919:0.228848:0.507252:0.228848:0.507252:0.211194:0.491919:0.211194:0.000000
3000).  :@0.508265:0.228265:0.559056:0.228265:0.559056:0.212553:0.508265:0.212553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entonces, la utilidad es :@0.101544:0.244907:0.270066:0.244907:0.270066:0.229195:0.101544:0.229195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.269841:0.244907:0.280885:0.244907:0.280885:0.228501:0.269841:0.228501:0.000000
=:@0.281916:0.245490:0.297250:0.245490:0.297250:0.227836:0.281916:0.227836:0.000000
3:@0.298262:0.244907:0.307245:0.244907:0.307245:0.229195:0.298262:0.229195:0.000000
x:@0.308275:0.244907:0.315730:0.244907:0.315730:0.228501:0.308275:0.228501:0.000000
–:@0.316761:0.245490:0.325965:0.245490:0.325965:0.227836:0.316761:0.227836:0.000000
3000:@0.326977:0.244907:0.362687:0.244907:0.362687:0.229195:0.326977:0.229195:0.000000:0.000000:0.000000:0.000000
d.  El punto de equilibrio está dado por el número de sillas que se deben vender para :@0.073089:0.269768:0.710553:0.269768:0.710553:0.254055:0.073089:0.254055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que no haya pérdida ni ganancia. Es decir que la utilidad es cero.:@0.101557:0.286410:0.567439:0.286410:0.567439:0.270697:0.101557:0.270697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.343299:0.313772:0.354343:0.313772:0.354343:0.297366:0.343299:0.297366:0.000000
=:@0.355374:0.314354:0.370707:0.314354:0.370707:0.296700:0.355374:0.296700:0.000000
3:@0.371720:0.313772:0.380703:0.313772:0.380703:0.298059:0.371720:0.298059:0.000000
x:@0.381733:0.313772:0.389188:0.313772:0.389188:0.297366:0.381733:0.297366:0.000000
–:@0.390219:0.314354:0.399423:0.314354:0.399423:0.296700:0.390219:0.296700:0.000000
3000:@0.400435:0.313772:0.436145:0.313772:0.436145:0.298059:0.400435:0.298059:0.000000:0.000000:0.000000:0.000000
0 3:@0.344882:0.330414:0.379119:0.330414:0.379119:0.314701:0.344882:0.314701:0.000000:0.000000:0.000000
=:@0.353791:0.330996:0.369124:0.330996:0.369124:0.313342:0.353791:0.313342:0.000000
x:@0.380150:0.330414:0.387605:0.330414:0.387605:0.314007:0.380150:0.314007:0.000000
–:@0.388636:0.330996:0.397840:0.330996:0.397840:0.313342:0.388636:0.313342:0.000000
3000:@0.398852:0.330414:0.434562:0.330414:0.434562:0.314701:0.398852:0.314701:0.000000:0.000000:0.000000:0.000000
Luego :@0.335016:0.347055:0.385113:0.347055:0.385113:0.331343:0.335016:0.331343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.385010:0.347055:0.392465:0.347055:0.392465:0.330649:0.385010:0.330649:0.000000
=:@0.393496:0.347638:0.408829:0.347638:0.408829:0.329984:0.393496:0.329984:0.000000
1000:@0.408737:0.347055:0.444447:0.347055:0.444447:0.331343:0.408737:0.331343:0.000000:0.000000:0.000000:0.000000
e.  Si se venden 800 sillas, se reemplaza este valor en la utilidad::@0.073089:0.374420:0.536914:0.374420:0.536914:0.358707:0.073089:0.358707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.343299:0.401782:0.354343:0.401782:0.354343:0.385376:0.343299:0.385376:0.000000
=:@0.355374:0.402364:0.370707:0.402364:0.370707:0.384710:0.355374:0.384710:0.000000
3:@0.371720:0.401782:0.380703:0.401782:0.380703:0.386069:0.371720:0.386069:0.000000
x:@0.381733:0.401782:0.389188:0.401782:0.389188:0.385376:0.381733:0.385376:0.000000
–:@0.390219:0.402364:0.399423:0.402364:0.399423:0.384710:0.390219:0.384710:0.000000
3000:@0.400435:0.401782:0.436145:0.401782:0.436145:0.386069:0.400435:0.386069:0.000000:0.000000:0.000000:0.000000
U:@0.256619:0.422002:0.267664:0.422002:0.267664:0.405596:0.256619:0.405596:0.000000
=:@0.268694:0.422584:0.284028:0.422584:0.284028:0.404930:0.268694:0.404930:0.000000
3(800) 3000 2400 3000:@0.285040:0.422002:0.471745:0.422002:0.471745:0.406289:0.285040:0.406289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.331371:0.422584:0.340575:0.422584:0.340575:0.404930:0.331371:0.404930:0.000000
=:@0.376082:0.422584:0.391416:0.422584:0.391416:0.404930:0.376082:0.404930:0.000000
–:@0.426923:0.422584:0.436127:0.422584:0.436127:0.404930:0.426923:0.404930:0.000000
=–:@0.471634:0.422584:0.496079:0.422584:0.496079:0.404930:0.471634:0.404930:0.000000:0.000000
600:@0.495987:0.422002:0.522788:0.422002:0.522788:0.406289:0.495987:0.406289:0.000000:0.000000:0.000000
Es decir, que si se venden 800 sillas, la empresa va a tener una pérdida de U$600.:@0.101520:0.442221:0.682631:0.442221:0.682631:0.426509:0.101520:0.426509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f.  Si se desea obtener una ganancia de U$1200, se reemplaza en la utilidad::@0.073089:0.469578:0.630018:0.469578:0.630018:0.453866:0.073089:0.453866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.343299:0.496940:0.354343:0.496940:0.354343:0.480534:0.343299:0.480534:0.000000
=:@0.355374:0.497523:0.370708:0.497523:0.370708:0.479869:0.355374:0.479869:0.000000
3:@0.371720:0.496940:0.380703:0.496940:0.380703:0.481228:0.371720:0.481228:0.000000
x:@0.381733:0.496940:0.389188:0.496940:0.389188:0.480534:0.381733:0.480534:0.000000
–:@0.390219:0.497523:0.399423:0.497523:0.399423:0.479869:0.390219:0.479869:0.000000
3000:@0.400435:0.496940:0.436145:0.496940:0.436145:0.481228:0.400435:0.481228:0.000000:0.000000:0.000000:0.000000
1200 3:@0.331537:0.517160:0.392465:0.517160:0.392465:0.501447:0.331537:0.501447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.367137:0.517743:0.382470:0.517743:0.382470:0.500088:0.367137:0.500088:0.000000
x:@0.393496:0.517160:0.400951:0.517160:0.400951:0.500754:0.393496:0.500754:0.000000
–:@0.401981:0.517743:0.411185:0.517743:0.411185:0.500088:0.401981:0.500088:0.000000
3000:@0.412197:0.517160:0.447908:0.517160:0.447908:0.501447:0.412197:0.501447:0.000000:0.000000:0.000000:0.000000
Luego 3:@0.329438:0.533802:0.388445:0.533802:0.388445:0.518089:0.329438:0.518089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.389428:0.533802:0.396883:0.533802:0.396883:0.517396:0.389428:0.517396:0.000000
=:@0.397913:0.534384:0.413247:0.534384:0.413247:0.516730:0.397913:0.516730:0.000000
4200:@0.414259:0.533802:0.449969:0.533802:0.449969:0.518089:0.414259:0.518089:0.000000:0.000000:0.000000:0.000000
x:@0.359424:0.550444:0.366879:0.550444:0.366879:0.534038:0.359424:0.534038:0.000000
=:@0.367910:0.551026:0.383243:0.551026:0.383243:0.533372:0.367910:0.533372:0.000000
1400:@0.384255:0.550444:0.419965:0.550444:0.419965:0.534731:0.384255:0.534731:0.000000:0.000000:0.000000:0.000000
Es decir que se deben vender 1400 sillas para obtener una ganancia de U$1200.:@0.101520:0.570664:0.678020:0.570664:0.678020:0.554951:0.101520:0.554951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g.  Las gráficas de las funciones son::@0.073089:0.598019:0.338340:0.598019:0.338340:0.582307:0.073089:0.582307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.278332:0.836801:0.284865:0.836801:0.284865:0.825373:0.278332:0.825373:0.000000
1000:@0.257823:0.805080:0.283954:0.805080:0.283954:0.793653:0.257823:0.793653:0.000000:0.000000:0.000000:0.000000
-1000:@0.253834:0.855893:0.283954:0.855893:0.283954:0.844466:0.253834:0.844466:0.000000:0.000000:0.000000:0.000000:0.000000
5000:@0.554990:0.836801:0.581121:0.836801:0.581121:0.825373:0.554990:0.825373:0.000000:0.000000:0.000000:0.000000
4000:@0.500919:0.836801:0.527051:0.836801:0.527051:0.825373:0.500919:0.825373:0.000000:0.000000:0.000000:0.000000
3000:@0.446849:0.836801:0.472980:0.836801:0.472980:0.825373:0.446849:0.825373:0.000000:0.000000:0.000000:0.000000
2000:@0.392778:0.836801:0.418910:0.836801:0.418910:0.825373:0.392778:0.825373:0.000000:0.000000:0.000000:0.000000
1000:@0.338708:0.836801:0.364839:0.836801:0.364839:0.825373:0.338708:0.825373:0.000000:0.000000:0.000000:0.000000
2000:@0.257836:0.779704:0.283968:0.779704:0.283968:0.768277:0.257836:0.768277:0.000000:0.000000:0.000000:0.000000
-2000:@0.253847:0.880453:0.283968:0.880453:0.283968:0.869025:0.253847:0.869025:0.000000:0.000000:0.000000:0.000000:0.000000
3000:@0.257836:0.754328:0.283968:0.754328:0.283968:0.742900:0.257836:0.742900:0.000000:0.000000:0.000000:0.000000
4000:@0.257836:0.728951:0.283968:0.728951:0.283968:0.717524:0.257836:0.717524:0.000000:0.000000:0.000000:0.000000
5000:@0.257836:0.703575:0.283968:0.703575:0.283968:0.692148:0.257836:0.692148:0.000000:0.000000:0.000000:0.000000
6000:@0.257836:0.678199:0.283968:0.678199:0.283968:0.666771:0.257836:0.666771:0.000000:0.000000:0.000000:0.000000
7000:@0.257836:0.652823:0.283968:0.652823:0.283968:0.641395:0.257836:0.641395:0.000000:0.000000:0.000000:0.000000
8000:@0.257836:0.627446:0.283968:0.627446:0.283968:0.616019:0.257836:0.616019:0.000000:0.000000:0.000000:0.000000
Ingreso:@0.319686:0.773983:0.377117:0.773983:0.377117:0.757313:0.319686:0.757313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Utilidad:@0.455182:0.704642:0.515852:0.704642:0.515852:0.687972:0.455182:0.687972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Costos:@0.195805:0.695350:0.247051:0.695350:0.247051:0.678680:0.195805:0.678680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para los costos (línea roja): Si :@0.101550:0.916201:0.309419:0.916201:0.309419:0.900489:0.101550:0.900489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.309137:0.916201:0.316592:0.916201:0.316592:0.899795:0.309137:0.899795:0.000000
=:@0.317623:0.916784:0.332956:0.916784:0.332956:0.899129:0.317623:0.899129:0.000000
0, los costos son U$3000 (costos fijos).:@0.333969:0.916201:0.608430:0.916201:0.608430:0.900489:0.333969:0.900489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.743878:0.145093:0.910252:0.145093:0.910252:0.128146:0.743878:0.128146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas e :@0.743878:0.161735:0.853699:0.161735:0.853699:0.146022:0.743878:0.146022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingeniería:@0.743878:0.178377:0.816266:0.178377:0.816266:0.162664:0.743878:0.162664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En ingeniería, las :@0.744260:0.214522:0.857591:0.214522:0.857591:0.200238:0.744260:0.200238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones lineales son :@0.744260:0.229651:0.893024:0.229651:0.893024:0.215367:0.744260:0.215367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
clave para entender :@0.744260:0.244780:0.878865:0.244780:0.878865:0.230496:0.744260:0.230496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo los materiales y :@0.744260:0.259909:0.891136:0.259909:0.891136:0.245625:0.744260:0.245625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estructuras reaccionan a :@0.744260:0.275038:0.908457:0.275038:0.908457:0.260754:0.744260:0.260754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las fuerzas. Por ejemplo, :@0.744260:0.290167:0.904095:0.290167:0.904095:0.275883:0.744260:0.275883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando estiras un resorte, :@0.744260:0.305296:0.917112:0.305296:0.917112:0.291011:0.744260:0.291011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la distancia que se estira :@0.744260:0.320425:0.907179:0.320425:0.907179:0.306140:0.744260:0.306140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es proporcional a la :@0.744260:0.335554:0.876496:0.335554:0.876496:0.321269:0.744260:0.321269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fuerza que le aplicas. :@0.744260:0.350683:0.883974:0.350683:0.883974:0.336398:0.744260:0.336398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el diseño de cosas :@0.744260:0.365811:0.888171:0.365811:0.888171:0.351527:0.744260:0.351527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como puentes o edificios, :@0.744260:0.380940:0.917241:0.380940:0.917241:0.366656:0.744260:0.366656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estas funciones ayudan :@0.744260:0.396069:0.902055:0.396069:0.902055:0.381785:0.744260:0.381785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a predecir cómo se :@0.744260:0.411198:0.873925:0.411198:0.873925:0.396914:0.744260:0.396914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comportarán las vigas y :@0.744260:0.426327:0.904045:0.426327:0.904045:0.412043:0.744260:0.412043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
columnas bajo diferentes :@0.744260:0.441456:0.914438:0.441456:0.914438:0.427172:0.744260:0.427172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cargas. Esto asegura que :@0.744260:0.456585:0.909440:0.456585:0.909440:0.442301:0.744260:0.442301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las construcciones sean :@0.744260:0.471714:0.903315:0.471714:0.903315:0.457430:0.744260:0.457430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seguras y eficientes.:@0.744260:0.486843:0.874921:0.486843:0.874921:0.472559:0.744260:0.472559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esto se representa con :@0.744310:0.644663:0.896317:0.644663:0.896317:0.630379:0.744310:0.630379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función lineal, lo que :@0.744310:0.659792:0.914001:0.659792:0.914001:0.645508:0.744310:0.645508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayuda a los ingenieros :@0.744310:0.674921:0.894449:0.674921:0.894449:0.660637:0.744310:0.660637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a predecir cómo se :@0.744310:0.690050:0.873976:0.690050:0.873976:0.675766:0.744310:0.675766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comportará el resorte :@0.744310:0.705179:0.891058:0.705179:0.891058:0.690895:0.744310:0.690895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bajo diferentes cargas. :@0.744310:0.720308:0.894751:0.720308:0.894751:0.706024:0.744310:0.706024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta comprensión es clave :@0.744310:0.735437:0.921287:0.735437:0.921287:0.721152:0.744310:0.721152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para diseñar estructuras :@0.744310:0.750566:0.905417:0.750566:0.905417:0.736281:0.744310:0.736281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que sean seguras y :@0.744310:0.765695:0.873311:0.765695:0.873311:0.751410:0.744310:0.751410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
efectivas. :@0.744310:0.780824:0.808163:0.780824:0.808163:0.766539:0.744310:0.766539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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