document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024931>Question 1024931</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A hockey team plays in an arena that has a seating capacity of<BR>\n" );
document.write( "15,000 spectators. With the ticket price set at $50, average attendance<BR>\n" );
document.write( "at recent games has been 10500. A market survey indicates that for<BR>\n" );
document.write( "each dollar the ticket price is lowered, the average attendance increases<BR>\n" );
document.write( "by 100.<BR>\n" );
document.write( "(a) Find a function that models the revenue in terms of ticket price.<BR>\n" );
document.write( "(b) Which attendance will give the maximum revenue? Justify your<BR>\n" );
document.write( "answer<BR>\n" );
document.write( "I did ticket=x<BR>\n" );
document.write( "amount price is lowered: 50-x<BR>\n" );
document.write( "increase in attendence=100(50-x)<BR>\n" );
document.write( "attendance: 10500+100(50-x)=15500-100x<BR>\n" );
document.write( "revenue=ticket price*attendemce<BR>\n" );
document.write( "R(x)=x(15500-100x)=15500-100x^2<BR>\n" );
document.write( "i am not sure how to do the second part all i know is if i use x=-b/2a i can find ticket price that maximizes revenue however they are asking for   attendance which maximizes revenue. Thanks a lot for your time! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640297 by </B><A HREF=/tutors/aboutme.mpl?userid=JoelSchwartz><B>JoelSchwartz(130)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JoelSchwartz><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=640297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x=the number of times that the ticket price is reduced by one dollar<BR>\n" );
document.write( "y=the price of each ticket<BR>\n" );
document.write( "y=50-x<BR>\n" );
document.write( "z=the number of people attending the game<BR>\n" );
document.write( "z=10,500+100x<BR>\n" );
document.write( "y*z=the total revenue for that game<BR>\n" );
document.write( "y*z=(50-x)(10,500+100x)<BR>\n" );
document.write( "the maximum revenue for one game is when the attendance is 10,500 people.<BR>\n" );
document.write( "The reason why is that the ticket price goes down when there are more people attending the game.<BR>\n" );
document.write( "50*10,500=525,000<BR>\n" );
document.write( "49*10,600=519,400<BR>\n" );
document.write( "48*10,700=513,600 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );