document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=311750>Question 311750</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The profit from a school dance depends on the ticket price. Using  some calculations, students find that the profit p can be modeled by the equation p= -10t^2 + 240t+1710 where t represents the ticket price. what ticket price will give the students maximum profit? what is the maximum profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222956 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=222956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using some calculations, students find that the profit p can be modeled by the equation p= -10t^2 + 240t+1710 where t represents the ticket price. what ticket price will give the students maximum profit? what is the maximum profit?<BR>\n" );
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document.write( "Max occurs when t = -b/2a = -240/(2(-10)) = 12<BR>\n" );
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document.write( "p(12) = -10*12^2+240*12+1710<BR>\n" );
document.write( "p(12) = $3150<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );