document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091312>Question 1091312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function P(X)=-15x squared + 600x + 60 where x is the price of each ticket. What ticket price would give the maximum profit? find the maximum profit<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 #705721 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=705721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(X)=-15x^2+ 600x+ 60 <BR>\n" );
document.write( "The vertex has the x value = -b/2a=-600/-30 or 20<BR>\n" );
document.write( "so x=$20, which is the maximum<BR>\n" );
document.write( "the profit would be $6060.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-30%2C30%2C-400%2C10000%2C-15x%5E2%2B600x%2B60%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-30%2C30%2C-400%2C10000%2C-15x%5E2%2B600x%2B60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "at $21, the profit is $6045<BR>\n" );
document.write( "at $19, the profit is $6045<BR>\n" );
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