document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=20529>Question 20529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Claire has a small personal business making scented candles.<BR>\n" );
document.write( "Her startup costs are $200. Her cost to make each cangle is<BR>\n" );
document.write( "$1.50. She sells each candle for $4.00. Use a system of<BR>\n" );
document.write( "equations to determine the number of candles she must sell<BR>\n" );
document.write( "to break even. (Write one equation for her prodction costs<BR>\n" );
document.write( "and one for her sales revenue.)= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9886 by </B><A HREF=/tutors/aboutme.mpl?userid=mmm4444bot><B>mmm4444bot(95)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mmm4444bot><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=9886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello There:\r<BR>\n" );
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document.write( "Let x = the number of candles produced and sold.\r<BR>\n" );
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document.write( "The costs are modeled by this equation:\r<BR>\n" );
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document.write( "C = 200 + 1.5*x\r<BR>\n" );
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document.write( "because each x costs $1.50, and there is the startup costs (which is fixed one time only) of $200.\r<BR>\n" );
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document.write( "The revenue is modeled by this equation:\r<BR>\n" );
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document.write( "R = 4*x\r<BR>\n" );
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document.write( "because they collect $4 for each x.\r<BR>\n" );
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document.write( "To break even means that the costs equal the revenue (i.e., there is no profit, but there is no loss either).\r<BR>\n" );
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document.write( "We find this number of candles by setting the costs equal to the revenue.\r<BR>\n" );
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document.write( "200 + 1.5*x = 4*x\r<BR>\n" );
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document.write( "Subtract 1.5*x from both sides so that we can combine the x-terms together on the right side.\r<BR>\n" );
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document.write( "200 = 4*x - 1.5*x\r<BR>\n" );
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document.write( "200 = 2.5*x\r<BR>\n" );
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document.write( "Solve for x by dividing both sides by 2.5:\r<BR>\n" );
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document.write( "x = 200/2.5\r<BR>\n" );
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document.write( "x = 80\r<BR>\n" );
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document.write( "~ Mark<BR>\n" );
document.write( "  </SPAN>\n" );
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