document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=904079>Question 904079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a certain vineyard it is found that each grape vine produces about 10 pounds of grapes in a season when about 600 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by<BR>\n" );
document.write( "A(n) = (600 + n)(10 &#8722; 0.01n)<BR>\n" );
document.write( "where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548508 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=548508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%28n%29+=+%28+600+%2B+n+%29%2A%28+10+-+.01n+%29+ ALIGN=MIDDLE  ALT=\"+A%28n%29+=+%28+600+%2B+n+%29%2A%28+10+-+.01n+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%28n%29+=+6000+%2B+10n+-+6n+-+.01n%5E2+ ALIGN=MIDDLE  ALT=\"+A%28n%29+=+6000+%2B+10n+-+6n+-+.01n%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%28n%29+=+-.01n%5E2+%2B+4n+%2B+6000+ ALIGN=MIDDLE  ALT=\"+A%28n%29+=+-.01n%5E2+%2B+4n+%2B+6000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "This equation is in the form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The vertex ( peak ) isd at:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+=+-4%2F%282%2A%28-.01%29%29+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+-4%2F%282%2A%28-.01%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=+-b%2F%282a%29+=+4%2F.02+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+4%2F.02+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+=+200+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "200 vines will maximize production<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%28199%29+=+%28+600+%2B+199+%29%2A%28+10+-+1.99+%29+ ALIGN=MIDDLE  ALT=\"+A%28199%29+=+%28+600+%2B+199+%29%2A%28+10+-+1.99+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%28199%29+=+799%2A8.01+ ALIGN=MIDDLE  ALT=\"+A%28199%29+=+799%2A8.01+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%28199%29+=+6399.99+ ALIGN=MIDDLE  ALT=\"+A%28199%29+=+6399.99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%28201%29+=+%28+600+%2B+201+%29%2A%28+10+-+2.01+%29+ ALIGN=MIDDLE  ALT=\"+A%28201%29+=+%28+600+%2B+201+%29%2A%28+10+-+2.01+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%28201%29+=+801%2A7.99+%29+ ALIGN=MIDDLE  ALT=\"+A%28201%29+=+801%2A7.99+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%28201%29+=+6399.99+ ALIGN=MIDDLE  ALT=\"+A%28201%29+=+6399.99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%28200%29+=++%28+600+%2B+200+%29%2A%28+10+-+2+%29+ ALIGN=MIDDLE  ALT=\"+A%28200%29+=++%28+600+%2B+200+%29%2A%28+10+-+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%28200%29+=+800%2A8+ ALIGN=MIDDLE  ALT=\"+A%28200%29+=+800%2A8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%28200%29+=+6400+ ALIGN=MIDDLE  ALT=\"+A%28200%29+=+6400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );