document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=609976>Question 609976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me with this problem.\r<BR>\n" );
document.write( "\n" );
document.write( "The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by n(x) = -0.5x^2+13x+11, where x is the number of days since the concert was first announced. When will daily tickets sales peak and how many tickets will be sold that day. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #384055 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=384055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n(x) = -0.5x^2+13x+11<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Max occurs when x = -b/(2a) = -13/(2*-0.5) = 13/1 = 13<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Maximum number of tickets = n(13) = -(1/2)13^2+13*13 + 11 <BR>\n" );
document.write( "= (-1/2)*169 + 169 + 11<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "= 96 when rounded up to the nearest whole number<BR>\n" );
document.write( "================================================<BR>\n" );
document.write( "Maximum sales occurs on day 13. <BR>\n" );
document.write( "# of tickets sold that day is 96 if rounded up<BR>\n" );
document.write( "# of tickets sold that day is 95 if rounded down<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );