document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=917928>Question 917928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A financial consultant wishes to invest up to a total of $30,000 in two types of securities, one that <BR>\n" );
document.write( "yields 10% per year and the other yields 8% per year. Furthermore, she believes that the amount <BR>\n" );
document.write( "invested in the first security should be at most one-third of the amount invested in the second security. <BR>\n" );
document.write( "What investment program should the consultant pursue in order to maximize income?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556839 by </B><A HREF=/tutors/aboutme.mpl?userid=Hawksfan><B>Hawksfan(61)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Hawksfan><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Hawksfan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=556839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lets first identify our variables: \r<BR>\n" );
document.write( "\n" );
document.write( " lets let x =  first security at yields 10%<BR>\n" );
document.write( "          3x = second security at 8%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  Add them together to get<BR>\n" );
document.write( "    <BR>\n" );
document.write( "         x + 3x  = 30,000<BR>\n" );
document.write( "   <BR>\n" );
document.write( "            4x = 30000\r<BR>\n" );
document.write( "\n" );
document.write( "             x = $7500 at 10%\r<BR>\n" );
document.write( "\n" );
document.write( "            3x = $22500 at 8% </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );