document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847194>Question 847194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. A carpenter can make tables at a cost of 4000 pesos each. If the carpenter sells the tables at x pesos each, it is determined that he will sell (300 – 2x) tables per year. Express the annual profit of the carpenter as a function of x.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510268 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=510268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What does it mean to have a profit?  It is our revenue - cost.\r<BR>\n" );
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document.write( "What is our revenue?  It's the # of tables * how much we sold them for.\r<BR>\n" );
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document.write( "So our revenue we'll call R(x) =  (300-2x)*x\r<BR>\n" );
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document.write( "Our cost, we'll call C(x) =  4000.\r<BR>\n" );
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document.write( "So P(x) =  R(x) - C(x)  \r<BR>\n" );
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document.write( "Putting this together we get P(x) =  (300-2x)*x - 4000 =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2+%2B300x+-+4000 ALIGN=MIDDLE  ALT=\"-2x%5E2+%2B300x+-+4000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Just for fun, this would mean that he would make a profit selling between 15 and 135 pesos. </SPAN>\n" );
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