document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138772>Question 1138772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q10. A performer charges C(x) = 50x + 10,000, where x is the total number of attendees at a show. The venue charges $75 per ticket. After how many people buy tickets does the venue break even, and what is the value of the total tickets sold R(x) at that point?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756569 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=756569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the cost to the people who are renting the location of the show is equal to c(x).\r<BR>\n" );
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document.write( "c(x) is equal to 50 * x + 10,000.\r<BR>\n" );
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document.write( "x is the total number of people who attend the show.\r<BR>\n" );
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document.write( "the cost to the people who attend the show is 75 dollars per person.\r<BR>\n" );
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document.write( "the revenue to the people who are renting the location is therefore r(x) = 75 * x.\r<BR>\n" );
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document.write( "the show breaks even when the cost to rent the location of the show is equal to the revenue from the people who attend the show.\r<BR>\n" );
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document.write( "you get c(x) = r(x).\r<BR>\n" );
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document.write( "since c(x) = 50 * x + 10,000 and r(x) is equal to 75 * x, you get:\r<BR>\n" );
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document.write( "50 * x + 10,000 = 75 * x\r<BR>\n" );
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document.write( "subtract 50 * x from both sides of this equation to get:\r<BR>\n" );
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document.write( "10,000 = 75 * x - 50 * x\r<BR>\n" );
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document.write( "combine like terms to get 10,000 = 25 * x.\r<BR>\n" );
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document.write( "solve for x to get x = 10,000 / 25 = 400.\r<BR>\n" );
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document.write( "the show will break even when 400 tickets are sold.\r<BR>\n" );
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document.write( "c(400) becomes 50 * 400 + 10,000 = 30,000.\r<BR>\n" );
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document.write( "r(400) becomes 75 * 400 = 30,000\r<BR>\n" );
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document.write( "the cost is equal to the revenue, so the break even point is when 400 tickets are sold.\r<BR>\n" );
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