document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149687>Question 1149687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 100 pear trees are planted, then the annual revenue is $90 per tree. If more trees are planted, the annual revenue per tree will be reduced by $.50 for each additional tree planted. How many trees should be planted to maximize the revenue from the orchard for one year. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771029 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=771029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+ ALIGN=MIDDLE  ALT=\"+R+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the revenue per year<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of trees planted per year ( n is greater than 100 )<BR>\n" );
document.write( "--------------------------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+90%2A100+%2B+%28+n+-+100+%29%2A%28+90+-+.5n+%29+ ALIGN=MIDDLE  ALT=\"+R+=+90%2A100+%2B+%28+n+-+100+%29%2A%28+90+-+.5n+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+9000+%2B+%28+90n+-+.5n%5E2+-+9000+%2B+50n+%29+ ALIGN=MIDDLE  ALT=\"+R+=+9000+%2B+%28+90n+-+.5n%5E2+-+9000+%2B+50n+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+9000+%2B+90n+-+.5n%5E2+-+9000+%2B+50n+ ALIGN=MIDDLE  ALT=\"+R+=+9000+%2B+90n+-+.5n%5E2+-+9000+%2B+50n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+-.5n%5E2+%2B140n++ ALIGN=MIDDLE  ALT=\"+R+=+-.5n%5E2+%2B140n++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is at:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5Bmax%5D+=+%28-140%29%2F%282%2A%28-.5%29%29+ ALIGN=MIDDLE  ALT=\"+n%5Bmax%5D+=+%28-140%29%2F%282%2A%28-.5%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5Bmax%5D+=+140+ ALIGN=MIDDLE  ALT=\"+n%5Bmax%5D+=+140+\"   DISABLED_style= \"max-width:90%; height:auto;\" > trees<BR>\n" );
document.write( "Plug this value back into equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bmax%5D+=-+.5%2A140%5E2+%2B+140%2A140++ ALIGN=MIDDLE  ALT=\"+R%5Bmax%5D+=-+.5%2A140%5E2+%2B+140%2A140++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bmax%5D+=+9800++ ALIGN=MIDDLE  ALT=\"+R%5Bmax%5D+=+9800++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bmax%5D+=+9800+ ALIGN=MIDDLE  ALT=\"+R%5Bmax%5D+=+9800+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-50%2C+300%2C+-1000%2C+12000%2C+-.5x%5E2+%2B+140x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-50%2C+300%2C+-1000%2C+12000%2C+-.5x%5E2+%2B+140x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks good, I think<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "Check the points where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+0+ ALIGN=MIDDLE  ALT=\"+R+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+-.5n%5E2+%2B140n++ ALIGN=MIDDLE  ALT=\"+R+=+-.5n%5E2+%2B140n++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-.5n%5E2+%2B140n++ ALIGN=MIDDLE  ALT=\"+0+=+-.5n%5E2+%2B140n++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2A%28+-.5n+%2B+140+%29+=+0+ ALIGN=MIDDLE  ALT=\"+n%2A%28+-.5n+%2B+140+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.5n+=+140+ ALIGN=MIDDLE  ALT=\"+.5n+=+140+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+280+ ALIGN=MIDDLE  ALT=\"+n+=+280+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This look good from plot<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );