document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008041>Question 1008041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If tickets are sold 75$ each then 1800 tickets will be sold for each 1$ increase in tickets price 20 fewer tickets are sold what should be the price of each ticket to max revenue and what will it be </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623829 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=623829\">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 <BR>\n" );
document.write( "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 sales of tickets<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+%28+75+%2B+1%2An+%29%2A%28+1800+-+20n+%29+ ALIGN=MIDDLE  ALT=\"+R+=+%28+75+%2B+1%2An+%29%2A%28+1800+-+20n+%29+\"   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+=+135000+%2B+1800n+-+1500n+-+20n%5E2+ ALIGN=MIDDLE  ALT=\"+R+=+135000+%2B+1800n+-+1500n+-+20n%5E2+\"   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+300n+%2B+135000+ ALIGN=MIDDLE  ALT=\"+R+=+-20n%5E2+%2B+300n+%2B+135000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is a parabola with a peak ( like an upside-down bowl )<BR>\n" );
document.write( "The maximum is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=++-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+n+=++-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-20+ ALIGN=MIDDLE  ALT=\"+a+=+-20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+300+ ALIGN=MIDDLE  ALT=\"+b+=+300+\"   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=+-b%2F%282a%29+=+-300+%2F+%28+2%2A%28-20%29+%29+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+-300+%2F+%28+2%2A%28-20%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+=+300%2F40+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+300%2F40+\"   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+=+7.5+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+7.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Either $7 or $8 added to ticket price maximizes revenue,so<BR>\n" );
document.write( "Ticket price should be $82 or $83<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "check the answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+%28+75+%2B+1%2An+%29%2A%28+1800+-+20n+%29%0D%0ALet+%7B%7B%7B+n+=+7+ ALIGN=MIDDLE  ALT=\"+R+=+%28+75+%2B+1%2An+%29%2A%28+1800+-+20n+%29%0D%0ALet+%7B%7B%7B+n+=+7+\"   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+75+%2B+1%2A7+%29%2A%28+1800+-+20%2A7+%29+%0D%0A%7B%7B%7B+R+=+82%2A1660+ ALIGN=MIDDLE  ALT=\"+R+=+%28+75+%2B+1%2A7+%29%2A%28+1800+-+20%2A7+%29+%0D%0A%7B%7B%7B+R+=+82%2A1660+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+136120+ ALIGN=MIDDLE  ALT=\"+R+=+136120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+8+ ALIGN=MIDDLE  ALT=\"+n+=+8+\"   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+75+%2B+1%2A8+%29%2A%28+1800+-+20%2A8+%29%0D%0A%7B%7B%7B+R+=+83%2A1640+ ALIGN=MIDDLE  ALT=\"+R+=+%28+75+%2B+1%2A8+%29%2A%28+1800+-+20%2A8+%29%0D%0A%7B%7B%7B+R+=+83%2A1640+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+136120+ ALIGN=MIDDLE  ALT=\"+R+=+136120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "I get the same revenue on both sides of <BR>\n" );
document.write( "the peak, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+7.5+ ALIGN=MIDDLE  ALT=\"+n+=+7.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > must give me<BR>\n" );
document.write( "maximum <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+ ALIGN=MIDDLE  ALT=\"+R+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You can't have 1/2 of a ticket,<BR>\n" );
document.write( "so I have to choose <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+7+ ALIGN=MIDDLE  ALT=\"+n+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+8+ ALIGN=MIDDLE  ALT=\"+n+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Hope I got it- you should get a 2nd opinion<BR>\n" );
document.write( "on this one </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );