document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026784>Question 1026784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The school has begun selling a cookbook called \"What Would Euler Eat?\" If the price of the cookbook is n dollars (n <= 72), then it will sell 720 - 10n copies. What price (in dollars) will maximize the total revenue we receive for the books? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642107 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=642107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The revenue equation in this case would be \r<BR>\n" );
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document.write( "R(n) = n(720-10n),\r<BR>\n" );
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document.write( "which is a a quadratic equation with roots at n = 0, 72. (n = 0 means no production, hence 0 revenue. n = 72 means 0 sales because the price is highest at $72.)\r<BR>\n" );
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document.write( "The $ price that would yield the maximum revenue would be midway between $0 and $72, which is $36.  This would give a max revenue of $12,960. </SPAN>\n" );
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