document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104076>Question 104076</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 = –p^2 + 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 #75771 by </B><A HREF=/tutors/aboutme.mpl?userid=elima><B>elima(1433)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=elima><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=75771\">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( "Equilibrium is when supply = demand;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5p%2B40=-p%5E2%2B30p-8 ALIGN=MIDDLE  ALT=\"-5p%2B40=-p%5E2%2B30p-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-5p-30p%2B40%2B8=0 ALIGN=MIDDLE  ALT=\"p%5E2-5p-30p%2B40%2B8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-35p%2B48=0 ALIGN=MIDDLE  ALT=\"p%5E2-35p%2B48=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic equation to solve;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2835%2B-sqrt%2835%5E2-4%281%29%2848%29%29%29%2F2%281%29 ALIGN=MIDDLE  ALT=\"%2835%2B-sqrt%2835%5E2-4%281%29%2848%29%29%29%2F2%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2835%2B-sqrt%281225-192%29%29%2F2 ALIGN=MIDDLE  ALT=\"%2835%2B-sqrt%281225-192%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2835%2B-sqrt%281033%29%29%2F2 ALIGN=MIDDLE  ALT=\"%2835%2B-sqrt%281033%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now we two equations to solve, because we have 35+ and 35-;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=%2835%2B32.14%29%2F2 ALIGN=MIDDLE  ALT=\"P=%2835%2B32.14%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P=33.57<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=%2835-32.14%29%2F2 ALIGN=MIDDLE  ALT=\"P=%2835-32.14%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2.86%2F2 ALIGN=MIDDLE  ALT=\"P=2.86%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P=1.43<BR>\n" );
document.write( ":)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );