document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133992>Question 1133992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The senior class at Richmont High School is selling t-shirts to raise money for its prom. The equation R(p) = - 25p2 + 600p describes the revenue, R, in dollar s, as a function of the price, p, in dollars, of a t-shirt . That is, the revenue is a function of price.\r<BR>\n" );
document.write( "\n" );
document.write( " a) Determine the revenue if the group sells each shirt for $10.<BR>\n" );
document.write( " b) Determine the revenue if the group sells each shirt for $15.<BR>\n" );
document.write( " c) If the senior class hopes to have a revenue of<BR>\n" );
document.write( "    $3600, how much should it charge for each t-shirt?<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751265 by </B><A HREF=/tutors/aboutme.mpl?userid=Glaviolette><B>Glaviolette(140)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Glaviolette><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=Glaviolette><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.  R(p) = -25(10)^2 + 600(10) = $3500<BR>\n" );
document.write( "b.  R(p) = -25(15)^2 + 600(15) = $3375<BR>\n" );
document.write( "c. -25p^2 + 600p = 3600<BR>\n" );
document.write( "-25p^2 + 600p - 3600 = 0<BR>\n" );
document.write( "-25 (p^2 - 24p + 144) = 0<BR>\n" );
document.write( "-25 (p - 12)(p - 12) = 0<BR>\n" );
document.write( "p-12 = 0<BR>\n" );
document.write( "p = 12<BR>\n" );
document.write( "$12 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );