document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036983>Question 1036983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 90 apple trees in an orchard. Each tree produces 1500 apples.\r<BR>\n" );
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document.write( "There is a limited amount of water that is used for irrigation. Because of this, for each additional tree planted in the orchard, the output per tree drops by 9 apples.\r<BR>\n" );
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document.write( "The owner of the orchard is considering planting more trees, but is concerned that if she plants too many, that overall production will drop.\r<BR>\n" );
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document.write( "How many trees should be added to the existing orchard in order to maximize the total output of trees ?\r<BR>\n" );
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document.write( "Production =  Number of Trees * Output Per Tree \r<BR>\n" );
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document.write( "Let x = The Number of Trees that will be Added to the Orchard\r<BR>\n" );
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document.write( "Number of Trees =( 90 + x )\r<BR>\n" );
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document.write( "Output Per Tree = ( 1500 - 9x ) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651709 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Maximize the function (90+x)(1500-9x)<BR>\n" );
document.write( "This is -9x^2+690x+135000<BR>\n" );
document.write( "Set it equal to 0, and the vertex, or the x value of the vertex, which is wha is needed, is -b/2a.  This is -690/-18=38.3333 or 38 additional trees.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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