document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035891>Question 1035891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A theme park sells tickets at $22 per ticket. Currently they have 1480 people attend per day. They estimate that for every dollar they increase the price, they will have 20 less people. What price would give the maximum revenue, and what would this revenue be?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650490 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=650490\">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=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of $1 increases in ticket price<BR>\n" );
document.write( "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;\" > = revenue from tickets<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+%28+1480+-+20n+%29%2A%28+22+%2B+1%2An+%29%0D%0A%7B%7B%7B+r+=+32560++-+440n+%2B+1480n+-+20n%5E2+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+-20n%5E2+%2B+1040n+%2B+32560+ ALIGN=MIDDLE  ALT=\"+r+=+-20n%5E2+%2B+1040n+%2B+32560+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+-n%5E2+%2B+52n+%2B+1628+ ALIGN=MIDDLE  ALT=\"+r+=+-n%5E2+%2B+52n+%2B+1628+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The plot is a parabola with a maximum.<BR>\n" );
document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" >-value of the maximum ios at:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+n%5Bmax%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when the form is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+a%2An%5E2+%2B+b%2An+%2B+c+ ALIGN=MIDDLE  ALT=\"+r+=+a%2An%5E2+%2B+b%2An+%2B+c+\"   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+=+-52+%2F+%28+2%2A%28-1%29%29+ ALIGN=MIDDLE  ALT=\"+n%5Bmax%5D+=+-52+%2F+%28+2%2A%28-1%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+=+26+ ALIGN=MIDDLE  ALT=\"+n%5Bmax%5D+=+26+\"   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=+22+%2B+n+=+22+%2B+26+ ALIGN=MIDDLE  ALT=\"+22+%2B+n+=+22+%2B+26+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22+%2B+n+=+48+ ALIGN=MIDDLE  ALT=\"+22+%2B+n+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$48 / ticket gives maximum revenue<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+%28+1480+-+20n+%29%2A%28+22+%2B+1%2An+%29+ ALIGN=MIDDLE  ALT=\"+r+=+%28+1480+-+20n+%29%2A%28+22+%2B+1%2An+%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+=+%28+1480+-+20%2A26+%29%2A%28+22+%2B+1%2A26+%29+ ALIGN=MIDDLE  ALT=\"+r+=+%28+1480+-+20%2A26+%29%2A%28+22+%2B+1%2A26+%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+=+%28+1480+-+520+%29%2A%28+48+%29+ ALIGN=MIDDLE  ALT=\"+r+=+%28+1480+-+520+%29%2A%28+48+%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+=+960%2A48+ ALIGN=MIDDLE  ALT=\"+r+=+960%2A48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+46080+ ALIGN=MIDDLE  ALT=\"+r+=+46080+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum revenue is $46,080 <BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Here's the plot of 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;\" >,  and the<BR>\n" );
document.write( "number of $1 increases in ticket price, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   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+-10%2C+80%2C+-6000%2C+60000%2C+-20x%5E2+%2B+1040x+%2B+32560+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-10%2C+80%2C+-6000%2C+60000%2C+-20x%5E2+%2B+1040x+%2B+32560+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );