document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156478>Question 156478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are starting a T-shirt business. Your fixed costs are $5,000. It costs $11 to buy each shirt.  you plan to sell the shirts for $16. Write the total cost function, revenue function, profit function.  Find the break even point. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115411 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=115411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are going to sell <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > shirts.\r<BR>\n" );
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document.write( "It costs you $5000 plus $11 for each shirt, so the cost function is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28x%29=5000+%2B+11x ALIGN=MIDDLE  ALT=\"C%28x%29=5000+%2B+11x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You are going to sell each shirt for $16, so the revenue function is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%28x%29=+16x ALIGN=MIDDLE  ALT=\"R%28x%29=+16x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The profit is the difference between the revenue and the cost, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29+=+R%28x%29+-+C%28x%29 ALIGN=MIDDLE  ALT=\"P%28x%29+=+R%28x%29+-+C%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29+=+16x+-+%285000+%2B+11x%29 ALIGN=MIDDLE  ALT=\"P%28x%29+=+16x+-+%285000+%2B+11x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29+=+5x+-+5000 ALIGN=MIDDLE  ALT=\"P%28x%29+=+5x+-+5000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You break even when your profit is zero, that is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=0 ALIGN=MIDDLE  ALT=\"P%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-5000=0 ALIGN=MIDDLE  ALT=\"5x-5000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=5000 ALIGN=MIDDLE  ALT=\"5x=5000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1000 ALIGN=MIDDLE  ALT=\"x=1000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence, you break even when you sell <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000 ALIGN=MIDDLE  ALT=\"1000\"   DISABLED_style= \"max-width:90%; height:auto;\" > shirts. </SPAN>\n" );
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