document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273266>Question 273266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> from all the pairs of numbers whose sum is 256, find the pair whose product is greatest. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199645 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=199645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> from all the pairs of numbers whose sum is 256, find the pair whose product is greatest.<BR>\n" );
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document.write( "x + y = 256<BR>\n" );
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document.write( "Product = xy = x(256-x) = 256x-x^2<BR>\n" );
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document.write( "P(x) = -x^2+256x<BR>\n" );
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document.write( "Max occurs when x = -b/2a = -256/(-2) = 128<BR>\n" );
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document.write( "If x = 128, y = 128<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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