document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184126>Question 184126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An orange grower finds that she gets a yield of 40 bushels of oranges per tree when she plants 20 trees on an acre of ground.  However, the yield decreases by 1 bushel per tree for each additional tree she plants on the acre due to crowding.  How many trees should she plant per acre to maximize her yield? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138148 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=138148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An orange grower finds that she gets a yield of 40 bushels of oranges per tree when she plants 20 trees on an acre of ground. However, the yield decreases by 1 bushel per tree for each additional tree she plants on the acre due to crowding. How many trees should she plant per acre to maximize her yield?<BR>\n" );
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document.write( "Yield = (# of trees)(# of bushels)<BR>\n" );
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document.write( "Y(x) = (20 + x)(40-x)<BR>\n" );
document.write( "Y(x) = 800 +20x-x^2<BR>\n" );
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document.write( "The maximum yield occurs when x = -b/2a = -20/(2*-1) = 10<BR>\n" );
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document.write( "Number of trees should be 20+x = 30<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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