document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1136931>Question 1136931</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $11 the average attendance has been 28000. When the price dropped to $9, the average attendance rose to 34000. Assume that attendance is linearly related to ticket price. \r<BR>\n" );
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document.write( "What ticket price would maximize revenue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #754767 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=754767\">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=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = attendance in thousands<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = ticket price in dollars<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "You are given 2 points on a straight line:<BR>\n" );
document.write( "( 11, 28 )<BR>\n" );
document.write( "( 9, 34 )<BR>\n" );
document.write( "Use point-slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+28+%29+%2F+%28+x+-+11+%29+=+%28+34+-+28+%29+%2F+%28+9+-+11+%29+ ALIGN=MIDDLE  ALT=\"+%28+y+-+28+%29+%2F+%28+x+-+11+%29+=+%28+34+-+28+%29+%2F+%28+9+-+11+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+28+%29+%2F+%28+x+-+11+%29+=+6%2F%28-2%29+ ALIGN=MIDDLE  ALT=\"+%28+y+-+28+%29+%2F+%28+x+-+11+%29+=+6%2F%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28+y+-+28+%29+%2F+%28+x+-+11+%29+=+-3+ ALIGN=MIDDLE  ALT=\"++%28+y+-+28+%29+%2F+%28+x+-+11+%29+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+28+=+-3%2A%28+x+-+11+%29+ ALIGN=MIDDLE  ALT=\"+y+-+28+=+-3%2A%28+x+-+11+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+28+=+-3x+%2B+33+ ALIGN=MIDDLE  ALT=\"+y+-+28+=+-3x+%2B+33+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-3x+%2B+61+ ALIGN=MIDDLE  ALT=\"+y+=+-3x+%2B+61+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "( 11,28 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+28+=+-3%2A11+%2B+61+ ALIGN=MIDDLE  ALT=\"+28+=+-3%2A11+%2B+61+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+28+=+-33+%2B+61+ ALIGN=MIDDLE  ALT=\"+28+=+-33+%2B+61+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+28+=+28+ ALIGN=MIDDLE  ALT=\"+28+=+28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "( 9,34 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+34+=+-3%2A9+%2B+61+ ALIGN=MIDDLE  ALT=\"+34+=+-3%2A9+%2B+61+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+34+=+-27+%2B+61+ ALIGN=MIDDLE  ALT=\"+34+=+-27+%2B+61+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+34+=+34+ ALIGN=MIDDLE  ALT=\"+34+=+34+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Revenue, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > = [ ticket price ] x [ attendance ]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+x%2A%28+-3x+%2B+61+%29+ ALIGN=MIDDLE  ALT=\"+R+=+x%2A%28+-3x+%2B+61+%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+=+-3x%5E2+%2B+61x+ ALIGN=MIDDLE  ALT=\"+R+=+-3x%5E2+%2B+61x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+-61%2F%28+2%2A%28-3%29%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+-61%2F%28+2%2A%28-3%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=+x%5Bmax%5D+=+61%2F6+%7D%7D%0D%0A%7B%7B%7B+x%5Bmax%5D+=+10.17+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+61%2F6+%7D%7D%0D%0A%7B%7B%7B+x%5Bmax%5D+=+10.17+\"   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=+R%5Bmax%5D+=+%28+61%2F6+%29%2A%28+-3%2A%2861%2F6%29+%2B+61+%29+ ALIGN=MIDDLE  ALT=\"+R%5Bmax%5D+=+%28+61%2F6+%29%2A%28+-3%2A%2861%2F6%29+%2B+61+%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%5Bmax%5D+=+10.1667%2A%28+-30.5+%2B+61+%29+ ALIGN=MIDDLE  ALT=\"+R%5Bmax%5D+=+10.1667%2A%28+-30.5+%2B+61+%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%5Bmax%5D+=+10.1667%2A30.5+ ALIGN=MIDDLE  ALT=\"+R%5Bmax%5D+=+10.1667%2A30.5+\"   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+=+310.0843+ ALIGN=MIDDLE  ALT=\"+R%5Bmax%5D+=+310.0843+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$310,084<BR>\n" );
document.write( "If you need to, get a 2nd opinion also<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "Here's the plots of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+ ALIGN=MIDDLE  ALT=\"+R+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-5%2C+30%2C+-10%2C+70%2C+-3x+%2B+61++%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-5%2C+30%2C+-10%2C+70%2C+-3x+%2B+61++%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-5%2C+30%2C+-40%2C+400%2C+-3x%5E2+%2B+61x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-5%2C+30%2C+-40%2C+400%2C+-3x%5E2+%2B+61x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );