document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71032>Question 71032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The demand and supply equations for a certain item are given by<BR>\n" );
document.write( "    D = –5p + 40<BR>\n" );
document.write( "    S = –p2 + 30p – 8<BR>\n" );
document.write( "Find the equilibrium price<BR>\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 #50754 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=50754\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The demand and supply equations for a certain item are given by<BR>\n" );
document.write( "D = –5p + 40<BR>\n" );
document.write( "S = –p2 + 30p – 8<BR>\n" );
document.write( "Find the equilibrium price<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Equilibrium occurs when supply equals demand.<BR>\n" );
document.write( "-p^2+30p-8 = -5p+40<BR>\n" );
document.write( "-p^2+35p-48=0<BR>\n" );
document.write( "p^2-35p+48=0<BR>\n" );
document.write( "Use the quadratic formula to get:<BR>\n" );
document.write( "p = [35+-sqrt(35^2-4*48]/2<BR>\n" );
document.write( "p = [35+-sqrt(1033)]/2<BR>\n" );
document.write( "p = [35+-32.14]/2<BR>\n" );
document.write( "p = $1.43 or p =$33.57<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );