document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=536477>Question 536477</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^+8x+14, when will the daily ticket sales peak and how many tickets will be sold that day?  Ticket sales will peak how many days after the concert was first announced and how many tickets were sold on 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 #352387 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=352387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+1+ ALIGN=MIDDLE  ALT=\"+x+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%281%29+ ALIGN=MIDDLE  ALT=\"+N%281%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > 1st day and sales for 1st day<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+2+ ALIGN=MIDDLE  ALT=\"+x+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%282%29+ ALIGN=MIDDLE  ALT=\"+N%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > 2nd day and sales for 2nd day<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+3+ ALIGN=MIDDLE  ALT=\"+x+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%283%29+ ALIGN=MIDDLE  ALT=\"+N%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > 3rd day and sales for 3rd day<BR>\n" );
document.write( "etc . . .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%28x%29=-.4x%5E2+%2B+8x+%2B+14+ ALIGN=MIDDLE  ALT=\"+N%28x%29=-.4x%5E2+%2B+8x+%2B+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The minus in front of the x-squared term tells me <BR>\n" );
document.write( "that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%28x%29+ ALIGN=MIDDLE  ALT=\"+N%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a max and not a min.<BR>\n" );
document.write( "The max, or vertex, of a parabola is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-.4+ ALIGN=MIDDLE  ALT=\"+a+=+-.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+8+ ALIGN=MIDDLE  ALT=\"+b+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+-8%2F%282%2A%28-.4%29%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+-8%2F%282%2A%28-.4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+-8%2F-.8+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+-8%2F-.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+10+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%2810%29+ ALIGN=MIDDLE  ALT=\"+N%2810%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%2810%29+=+-.4%2A10%5E2+%2B+8%2A10+%2B+14+ ALIGN=MIDDLE  ALT=\"+N%2810%29+=+-.4%2A10%5E2+%2B+8%2A10+%2B+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%2810%29+=+-40+%2B+80+%2B+14+ ALIGN=MIDDLE  ALT=\"+N%2810%29+=+-40+%2B+80+%2B+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%2810%29+=+54+ ALIGN=MIDDLE  ALT=\"+N%2810%29+=+54+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The max daily ticket sales occur 10 days after concert<BR>\n" );
document.write( "is announced and the sales on the 10th day are $54<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "To check to see if this is the max, find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%289.9%29+ ALIGN=MIDDLE  ALT=\"+N%289.9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%2810.1%29+ ALIGN=MIDDLE  ALT=\"+N%2810.1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. They should both be slightly less<BR>\n" );
document.write( "than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+54+ ALIGN=MIDDLE  ALT=\"+54+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );