document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171613>Question 1171613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A local donut shop has about $10,000 in fixed costs per month. It also costs them about $0.15 in<BR>\n" );
document.write( "ingredients to produce each donut. In order to make sure they turn a profit each month, they need to<BR>\n" );
document.write( "sell enough donuts to bring the average cost per donut down to $3.00 each. About how many donuts do<BR>\n" );
document.write( "they need to sell each month bring the average cost down to $3.00 per donut (round decimal answers up<BR>\n" );
document.write( "to the next whole number). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796521 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=796521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = number of donuts made\r<BR>\n" );
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document.write( "1 donut costs $0.15 to make<BR>\n" );
document.write( "making x of them cost 0.15x dollars<BR>\n" );
document.write( "This is the variable cost.\r<BR>\n" );
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document.write( "Add this on top of the $10,000 fixed cost and we have 0.15x+10000 representing the total cost.\r<BR>\n" );
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document.write( "Divide this over x to get the average cost <BR>\n" );
document.write( "(0.15x+10000)/x\r<BR>\n" );
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document.write( "we want this average cost to be $3.00<BR>\n" );
document.write( "So we set that x expression equal to 3 and solve for x\r<BR>\n" );
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document.write( "(0.15x+10000)/x = 3\r<BR>\n" );
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document.write( "0.15x+10000 = 3x\r<BR>\n" );
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document.write( "10000 = 3x-0.15x\r<BR>\n" );
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document.write( "10000 = 2.85x\r<BR>\n" );
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document.write( "2.85x = 10000\r<BR>\n" );
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document.write( "x = 10000/2.85\r<BR>\n" );
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document.write( "x = 3508.77 approximately\r<BR>\n" );
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document.write( "It's not possible to make 0.77 of a donut so we round up to get x = 3509\r<BR>\n" );
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document.write( "Answer:  3509 donuts\r<BR>\n" );
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document.write( "</font> </SPAN>\n" );
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