document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1136049>Question 1136049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A local civic arena is negotiating a contract with a touring ice-skating show, Icey Blades. Icey Blades charges a flat fee of $60,000 per night plus 40 percent of the gate receipts. The civic arena plans to change one price for all seats, $12.50 per ticket.<BR>\n" );
document.write( "(a)Determine the number of tickets which must be sold each night in order to break even.<BR>\n" );
document.write( "(b)if the civic arena has a goal of clearing $15000 each night, how many tickets must be sold?<BR>\n" );
document.write( "(c)what should nightly profit equal if average attendance is 7500 per night? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753813 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=753813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <b>(a)Determine the number of tickets which must be sold each night in order to break even.</b><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "12.50x = 0.40(12.50x) + 60000<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "12.50x = 5x + 60000<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "7.50x = 60000<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "x = 8000<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "<b>(b)if the civic arena has a goal of clearing $15000 each night, how many tickets must be sold?</b><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "12.50x = (0.40(12.50x) + 60000) + 15000<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "12.50x = 5x + 75000<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "7.50x = 75000<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "x = 10000<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "<b>(c)what should nightly profit equal if average attendance is 7500 per night?</b><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "x = 12.50(7500) - (0.40(12.50)(7500) + 60000)<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "x = 12.50(7500) - 0.40(12.50)(7500) - 60000<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "x = 93750 - 37500 - 60000<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "x = -3750<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "If the attendance averages 7500 per night, there will be a LOSS of $3750 per night. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );