document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108193>Question 1108193</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 CequalsR.<BR>\n" );
document.write( "Cequals12xplus36 comma 000 and Requals14x.<BR>\n" );
document.write( "How many units must be produced and sold in order to break&#8203; even?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #723189 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=723189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> c = 12x + 36000<BR>\n" );
document.write( "r = 14x\r<BR>\n" );
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document.write( "when r = c is the break even point.\r<BR>\n" );
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document.write( "since r = 14x and c = 12x + 36000, then the break even point is when 14x = 12x + 36000\r<BR>\n" );
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document.write( "subtract 12x from both sides of this equation to get 14x - 12x = 36000.\r<BR>\n" );
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document.write( "combine like terms to get 2x = 36000.\r<BR>\n" );
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document.write( "divide both sides of this equation by 2 to get x = 18000.\r<BR>\n" );
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document.write( "that'a our answer.\r<BR>\n" );
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document.write( "the revenue will be equal to the cost when 18000 units are sold.\r<BR>\n" );
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document.write( "revenue = 14 * 18000 = 252000.\r<BR>\n" );
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document.write( "cost = 12 * 18000 + 36000 = 252000.\r<BR>\n" );
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