document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127189>Question 1127189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two numbers is 28. find the two numbers if their product is to be a maximum. What is the maximum product? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743533 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The numbers are  x and 28-x.\r<BR>\n" );
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document.write( "Let  y = x*(28-x) = 28x - x^2\r<BR>\n" );
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document.write( "dy/dx = 28-2x —>  set to 0:  28-2x=0 —>  x=14 at the maximum <br> \r<BR>\n" );
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document.write( "The numbers are  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2814%29+ ALIGN=MIDDLE  ALT=\"highlight%2814%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%2814%29+ ALIGN=MIDDLE  ALT=\"+highlight%2814%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2A14+=+highlight%28+196+%29+ ALIGN=MIDDLE  ALT=\"14%2A14+=+highlight%28+196+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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