document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176830>Question 1176830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company charters a party boat that normally costs $40 per person. A group discount reduces<BR>\n" );
document.write( "the fare by $0.25 for each ticket sold; the more tickets sold, the lower the per-person fare. The<BR>\n" );
document.write( "maximum capacity of the boat is 90 people, including the crew of 5 people. What size of group<BR>\n" );
document.write( "would maximize the boat owner’s revenue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #804650 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=804650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x is one person added<BR>\n" );
document.write( "so that (40-0.25x)x=revenue=-0.25x^2+40x.<BR>\n" );
document.write( "the maximum of this quadratic is x=-b/2a or -40/-0.5=80<BR>\n" );
document.write( "When x=80<BR>\n" );
document.write( "the per person fare is $20, and the revenue is $1600, and 85 people are on the boat.<BR>\n" );
document.write( "can check with 85 customers, the maximum, where the per person fare is $18.75=$1593.75, not the maximum revenue.<BR>\n" );
document.write( "and look at 79, where the per person cost is $20.25 and maximum revenue is $1599.75\r<BR>\n" );
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document.write( "Maximize revenue with a group size of 80. </SPAN>\n" );
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