document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=878588>Question 878588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A) A shop buys tablets for $102.00 each and sells them for $180 each. The shop has a fixed cost of $35,000, create an equation that expresses the business's profit as a function of the number of tablets sold?\r<BR>\n" );
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document.write( "B) Use this equation to determine how many tablets must be sold in order for the shop to break even? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530116 by </B><A HREF=/tutors/aboutme.mpl?userid=Jstrasner><B>Jstrasner(112)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Jstrasner><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=Jstrasner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=530116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "So for this problem we need to figure out how much money the business will make after paying for the fixed cost.\r<BR>\n" );
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document.write( "Let's call profit P:\r<BR>\n" );
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document.write( "Profit (P) equals the number of products sold (units) times the profit from each unit sold ($180-$102=$78) minus the fixed cost. \r<BR>\n" );
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document.write( "In other words:\r<BR>\n" );
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document.write( "P = (units x $78) - $35,000\r<BR>\n" );
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document.write( "That is the answer for question A.\r<BR>\n" );
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document.write( "For B,\r<BR>\n" );
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document.write( "break even means the business makes 0 profit. So we plug that into the equation:\r<BR>\n" );
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document.write( "$0 = units x $78 - $35,000\r<BR>\n" );
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document.write( "We want to get units on a side by itself so we first add $35,000 to both sides:\r<BR>\n" );
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document.write( "$0 + $35,000 = units x $78 - $35,000 + $35,000\r<BR>\n" );
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document.write( "Which becomes:\r<BR>\n" );
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document.write( "$35,000 = units x $78\r<BR>\n" );
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document.write( "We want to get rid of the $78 on the right side so we divide both sides by $78:\r<BR>\n" );
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document.write( "$35,000/$78 = units x $78 / $78\r<BR>\n" );
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document.write( "Which becomes:\r<BR>\n" );
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document.write( "448.71795 = units\r<BR>\n" );
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document.write( "So, we need to sell 449 (we should round up) units to break even.\r<BR>\n" );
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document.write( "I hope this helps! </SPAN>\n" );
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