document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=326080>Question 326080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find marginal cost if \r<BR>\n" );
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document.write( "12 units cost $445; 50 units cost $1585\r<BR>\n" );
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document.write( "The linear cost function is writen as c(x)=30x+85\r<BR>\n" );
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document.write( "I know the answer is $30.\r<BR>\n" );
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document.write( "Also I need to find the average cost per unit to produce 100 units.\r<BR>\n" );
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document.write( "I know this answer is $30.85\r<BR>\n" );
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document.write( "I just can't figure out how they reached these answers.  I have been working on this problem for 2 day. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #233398 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=233398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "The marginal cost is the increase in cost each time one additional unit is produced.  It is the slope of the cost function at any given point.  Since your cost function is linear and is defined in slope intercept form, the marginal cost is simply the coefficient on <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">.\r<BR>\n" );
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document.write( "The average cost to produce <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> units is the total cost to produce <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> units, namely <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large C(x)\">, divided by the number of units produced, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">.  That means the Average Cost function is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ AC(x)\ =\ \frac{C(x)}{x}\">\r<BR>\n" );
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document.write( "So for 100 units:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ AC(100)\ =\ \frac{C(100)}{100}\ =\ \frac{30(100)\ +\ 85}{100}\">\r<BR>\n" );
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document.write( "I'll let you do your own arithmetic.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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