document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037309>Question 1037309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A retired couple has up to $30000 to invest in fixed-income securities. Their broker recommends investing in two bonds: one a AAA bond yielding 8%; the other a B+ bond paying 12%.After some consideration, the couple decides to invest at most $12000 in the B+-rated bond and at least $6000 in the AAA bond. They also want the amount invested in the AAA bond to exceed or equal the amount invested in the B+ bond. What should the broker recommend if the couple wants to maximize the return on their investment?            <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651987 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The B+ bonds pay the most, so he would want to maximize his investment in those.<BR>\n" );
document.write( "since his investment has to be no more than 12000 in B+ bonds, he should invest 12000 in B+ bonds to get the most profit out of them.\r<BR>\n" );
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document.write( "since he has 30,000 to invest, the rest should go into AAA bonds.\r<BR>\n" );
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document.write( "that would be 18,000 in AAA bonds.\r<BR>\n" );
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document.write( "all the requirements in the problem are satisfied.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "at most 12000 in B+ bonds - check.<BR>\n" );
document.write( "at least 6000 in AAA bonds - check.<BR>\n" );
document.write( "amount invest in AAA bonds greater than amount invested in B+ bonds - check.\r<BR>\n" );
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document.write( "broker should recommend 12000 in B+ bonds and 18000 in AAA bonds.\r<BR>\n" );
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