document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056056>Question 1056056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equilibrium point, if p is the price per unit, and q represents the number of units per unit of time. Supply: p=(1/4)q+6, Demand: p=2240/(q+12). 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 #671228 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=671228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set the two equal to each other<BR>\n" );
document.write( "(1/4)q+6=2240/(q+12)<BR>\n" );
document.write( "multiply both sides by (q+12)<BR>\n" );
document.write( "(1/4)q^2+3q+6q+72=2240<BR>\n" );
document.write( "(1/4)q^2+9q+72=2240<BR>\n" );
document.write( "(1/4)q^2+9q-2168=0; multiply by 4.<BR>\n" );
document.write( "q^2+36q-8672=0<BR>\n" );
document.write( "discriminant is sqrt(1296+34688)=sqrt(35984)=189.69<BR>\n" );
document.write( "q=(1/2)(-36+189.69) since these can't be negative<BR>\n" );
document.write( "q=76.85<BR>\n" );
document.write( "Check (1/4)(76.85)+6=25.21=p<BR>\n" );
document.write( "2240/(88.85)=25.21=p </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );