Aplicaciones a la economía

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=3 height=24 BGCOLOR="#006666" TEXT="#080000"> <div> <B>C á l c u l o   2 1</B><FONT SIZE="4" COLOR="#FFCC66" FACE="Bell MT" ><B> </B></FONT><FONT SIZE="4" COLOR="#FFFFCC" FACE="Bell MT" ><B>   </B></FONT><B>  |  </B> <A HREF="index.htm" TARGET="_top" TITLE="Cálculo 21"><U>Home</U></A>  |  <A HREF="id98.htm" TARGET="_top" TITLE="Contenido"><U>Contenido</U></A>  |  <A HREF="id307.htm" TARGET="_top" TITLE="Introducción al cálculo diferencial"><U>Cálculo diferencial</U></A>  |  <A HREF="id428.htm" TARGET="_top" TITLE="Problemas de aplicación del cálculo dife"><U>Aplicaciones</U></A>  |</div> </td> </tr><tr> <td valign="top" rowspan="2" width=160 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B> <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:160px;height:600px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="3073775660"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </B></div> </td> <td valign="top" height=432 colspan=2 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> Aplicaciones a la economía</div> <bR> <div>  <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:block" data-ad-client="ca-pub-1578463498418701" data-ad-slot="3926688482" data-ad-format="auto" data-full-width-responsive="true"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="674" BORDERCOLORLIGHT="#006600" BORDERCOLORDARK="#009900" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 514 WIDTH="666"><div> <B> <A NAME="e_n_u_n_c_i_a_d_o_s"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>E n u n c i a d o </B><B>s</B></div> <bR> <div> <A HREF="#1" TITLE="Aplicaciones a la economía"><U><IMG SRC="1d5093450.gif" border=0 width="659" height="69" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#2" TITLE="Aplicaciones a la economía"><U><IMG SRC="1d3b54670.gif" border=0 width="596" height="103" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#3" TITLE="Aplicaciones a la economía"><U><IMG SRC="1d3c80730.gif" border=0 width="640" height="115" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#4" TITLE="Aplicaciones a la economía"><U><IMG SRC="1d3d66770.gif" border=0 width="614" height="119" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <FONT SIZE="3" COLOR="#006600" FACE="Times New Roman" ><B>Solución de los numerales pares de los Ejercicios 4.10: "Aplicaciones de la derivada a la economía" de El Cálculo Con Geometría Analítica - cuarta edición - de Louis Leithold:</B></FONT><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><B> </B></FONT><A HREF="#4_10_2" TITLE="Aplicaciones a la economía"><U><B>2</B></U></A><B> </B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><B>- </B></FONT><A HREF="#4_10_4" TITLE="Aplicaciones a la economía"><U><B>4</B></U></A><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><B> - </B></FONT><A HREF="#4_10_8" TITLE="Aplicaciones a la economía"><U><B>6</B></U></A><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><B> - </B></FONT><A HREF="#4_10_8" TITLE="Aplicaciones a la economía"><U><B>8</B></U></A><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><B> - </B></FONT><B>10</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><B> - </B></FONT><B>12</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><B> - </B></FONT><B>14</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><B> - </B></FONT><B>16</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><B> - </B></FONT><B>18</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><B> - 20 - 22 - 24 - 26 - 28 - 30</B></FONT></div> </tD> </tR> </TABLE></div> <bR> <div> <B>S o l u c i o n e s </B></div> <bR> <div>  <A NAME="1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="1d3e93450.gif" border=0 width="659" height="69" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <div> <B><IMG SRC="1d3f2fd80.gif" border=0 width="559" height="216" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <bR> <div>  <A NAME="2"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="1d4054670.gif" border=0 width="596" height="103" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <div> <B><IMG SRC="1d4146580.gif" border=0 width="582" height="344" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="670" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 285 ><NOBR><div> <IMG SRC="1d4232770.gif" border=0 width="306" height="119" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="1d435c160.gif" border=0 width="348" height="278" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div>  <A NAME="3"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="1d4480730.gif" border=0 width="640" height="115" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <div> <B><IMG SRC="1d45baa80.gif" border=0 width="442" height="168" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="673" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 322 ><NOBR><div> <IMG SRC="1d46283b0.gif" border=0 width="296" height="315" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="1d473a160.gif" border=0 width="314" height="278" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <B><IMG SRC="1d488ec80.gif" border=0 width="654" height="200" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <div>  <A NAME="4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="1d49b07d0.gif" border=0 width="688" height="125" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <div> <B><IMG SRC="1d4a2fa40.gif" border=0 width="559" height="164" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <div>  <A NAME="4_10_2"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="1d4bf5770.gif" border=0 width="757" height="375" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <bR> <div>  <A NAME="4_10_4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="1d4cf5380.gif" border=0 width="757" height="312" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <bR> <div>  <A NAME="4_10_6"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="1d4df5da0.gif" border=0 width="757" height="986" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <div>  <A NAME="4_10_8"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="1d4ef5fb0.gif" border=0 width="757" height="763" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <DIV ALIGN="LEFT"></DIV> <div> <B><IMG SRC="1d4f6eb60.gif" border=0 width="366" height="438" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <bR> </td> 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