document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108029>Question 1108029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The point at which a&#8203; company's costs equal its revenues is the &#8203; break-even point. C represents the&#8203; cost, in&#8203; dollars, of x units of a product and R represents the&#8203; revenue, in&#8203; dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. That&#8203; is, find the value of x for which Cequals<BR>\n" );
document.write( "R.<BR>\n" );
document.write( "Cequals<BR>\n" );
document.write( "14xplus64 comma 000 <BR>\n" );
document.write( "and Requals<BR>\n" );
document.write( "18<BR>\n" );
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document.write( "How many units must be produced and sold in order to break&#8203; even? <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 #723060 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=723060\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> c = 14x + 64,000<BR>\n" );
document.write( "r = 18x\r<BR>\n" );
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document.write( "c = cost<BR>\n" );
document.write( "r = revenue\r<BR>\n" );
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document.write( "you break even when c = r\r<BR>\n" );
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document.write( "that gets you 14x + 64,000 = 18x\r<BR>\n" );
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document.write( "subtract 14x from both sides of this equation to get 64,000 = 18x - 14x\r<BR>\n" );
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document.write( "combine like terms to get 64,000 = 4x\r<BR>\n" );
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document.write( "divide both sides of this equation by 4 to get 64,000 / 4 = x\r<BR>\n" );
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document.write( "simplify to get 16,000 = x.\r<BR>\n" );
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document.write( "they would have to sell 16,000 units to break even.\r<BR>\n" );
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document.write( "revenue = 18 * 16,000 = 288,000<BR>\n" );
document.write( "cost = 14 * 16,000 + 64,000 = 288,000.\r<BR>\n" );
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document.write( "if they sell less than 16,000 units, they lose money.<BR>\n" );
document.write( "if they sell more than 16,000 units, the make money.\r<BR>\n" );
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