document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88322>Question 88322</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.\r<BR>\n" );
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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 #64152 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=64152\">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.\r<BR>\n" );
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document.write( "--------------------<BR>\n" );
document.write( "Equilibrium means demand = supply<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "-5p+40 = -p^2 + 30p - 8<BR>\n" );
document.write( "p^2 - 35p + 48 = 0<BR>\n" );
document.write( "p = [35+-sqrt(35^2-4*1*48)]/2\r<BR>\n" );
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document.write( "p = [35 +- sqrt(1033)]/2\r<BR>\n" );
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document.write( "p = $33.57 or p = $1.3<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );