document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102332>Question 1102332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The weekly total profit of a comic book at Bukit Kuantan is P(x) = 150 x - x²  . Find the marginal profit function, P’(x) and the marginal profit when x = 10<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 #716993 by </B><A HREF=/tutors/aboutme.mpl?userid=Lightning_Fast><B>Lightning_Fast(78)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Lightning_Fast><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=Lightning_Fast><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=716993\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well the marginal profit function is a derivative of the P(x). So, first take the derivative of the P(x) to obtain P'(x).\r<BR>\n" );
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document.write( "Let P'(x) = D(x) (because for some reason the equation editor won't let me work with apostrophes)\r<BR>\n" );
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document.write( "Thus, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%28x%29+=+-2x%2B+150 ALIGN=MIDDLE  ALT=\"D%28x%29+=+-2x%2B+150\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now you want to find the marginal profit when x = 10. To do this, plug in x =10 to the function that just got differentiated.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%28x%29+=+-2%2810%29+%2B+150 ALIGN=MIDDLE  ALT=\"D%28x%29+=+-2%2810%29+%2B+150\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify and obtain\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%28x%29+=+130 ALIGN=MIDDLE  ALT=\"D%28x%29+=+130\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "130 is your final answer, the marginal profit. </SPAN>\n" );
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