document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154482>Question 1154482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand functions are given.\r<BR>\n" );
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document.write( "Supply: p=q^2+20q  Demand: p=-2q^2+10q+5200\r<BR>\n" );
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document.write( "The equilibrium quantity is q=____  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776910 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Supply:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p=q%5E2%2B20q ALIGN=MIDDLE  ALT=\"+p=q%5E2%2B20q\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "Demand: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=-2q%5E2%2B10q%2B5200 ALIGN=MIDDLE  ALT=\"p=-2q%5E2%2B10q%2B5200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The equilibrium is when supply=demand\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q%5E2%2B20q=-2q%5E2%2B10q%2B5200 ALIGN=MIDDLE  ALT=\"+q%5E2%2B20q=-2q%5E2%2B10q%2B5200\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q%5E2%2B20q%2B2q%5E2-10q-5200=0 ALIGN=MIDDLE  ALT=\"+q%5E2%2B20q%2B2q%5E2-10q-5200=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3q%5E2%2B10q-5200=0 ALIGN=MIDDLE  ALT=\"+3q%5E2%2B10q-5200=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3q%5E2%2B10q-5200=0 ALIGN=MIDDLE  ALT=\"+3q%5E2%2B10q-5200=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3q%5E2-120q+%2B130q-5200=0 ALIGN=MIDDLE  ALT=\"+3q%5E2-120q+%2B130q-5200=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283q%5E2-120q%29%2B%28130q-5200%29=0 ALIGN=MIDDLE  ALT=\"+%283q%5E2-120q%29%2B%28130q-5200%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3q%28q-40%29%2B130%28q-40%29=0 ALIGN=MIDDLE  ALT=\"+3q%28q-40%29%2B130%28q-40%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q+-+40%29+%283q+%2B+130%29+=+0 ALIGN=MIDDLE  ALT=\"%28q+-+40%29+%283q+%2B+130%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> we need only positive solution\r<BR>\n" );
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document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=40 ALIGN=MIDDLE  ALT=\"q=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The equilibrium quantity is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=40 ALIGN=MIDDLE  ALT=\"q=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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