document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70087>Question 70087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The demand and supply equations for a certain item are given by:\r<BR>\n" );
document.write( "\n" );
document.write( "D = 5p + 40<BR>\n" );
document.write( "S = -p^2 + 30p - 8\r<BR>\n" );
document.write( "\n" );
document.write( "Find the equilibrium price..... How do I find the price when I am not sure of the actual numbers? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49944 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=49944\">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 = -p^2 + 30p - 8 <BR>\n" );
document.write( "Find the equilibrium price.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Equilibrium occurs when supply equal demand<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "-p^2+30p-8=5p+40<BR>\n" );
document.write( "-p^2+25p-48=0<BR>\n" );
document.write( "p=[-25+-sqrt(625-4*-1*-48]/-2<BR>\n" );
document.write( "p=[-25+-sqrt(625-192)]/-2<BR>\n" );
document.write( "p=[-25+-sqrt(433)]/-2<BR>\n" );
document.write( "p=2.09 or 22.90<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );