document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074345>Question 1074345</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Separate the number 28 into two parts such that the product of one part and the square of the other part is a maximum. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #689065 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=689065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Separate the number 28 into two parts such that the product of one part and the square of the other part is a maximum.<BR>\n" );
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document.write( "f(x) = x^2*(28-x) = 28x^2 - x^3<BR>\n" );
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document.write( "f'(x) = 56x - 3x^2 = 0<BR>\n" );
document.write( "x = 0 --- Ignore<BR>\n" );
document.write( "3x = 56<BR>\n" );
document.write( "x = 56/3<BR>\n" );
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document.write( "--> 56/3 and 28/3<BR>\n" );
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