document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=954050>Question 954050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two numbers is 16. what should the two numbers be so that their product is a maximum? (let the product be y since that is what you want to maximize) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582664 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=582664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Different choice in variables,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=16%2Cp=xy%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=16%2Cp=xy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > using p as a function of either x or y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=x%2816-x%29 ALIGN=MIDDLE  ALT=\"p=x%2816-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Maximum should occur in the middle of the roots of p.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2816-x%29=0 ALIGN=MIDDLE  ALT=\"x%2816-x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Roots are 0 and 16.<BR>\n" );
document.write( "The vertex, for the exact middle of 0 and 16, will be at x=8.<BR>\n" );
document.write( "This means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=16 ALIGN=MIDDLE  ALT=\"x%2By=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=16-x ALIGN=MIDDLE  ALT=\"y=16-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=16-8 ALIGN=MIDDLE  ALT=\"y=16-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8 ALIGN=MIDDLE  ALT=\"y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The two number, both 8.<BR>\n" );
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