document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=583660>Question 583660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches, according to the equation M(x) = 10x-x^2. What rainfall produces the maximum number of mosquitoes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372527 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=372527\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> M(x) = 10x - x^2<BR>\n" );
document.write( "The maximum number of mosquitoes is obtained where dM/dx = 0:<BR>\n" );
document.write( "dM/dx = 0 = 10 - 2x<BR>\n" );
document.write( "This gives x = 5 in. </SPAN>\n" );
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