document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65747>Question 65747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The demand equation for a certain type of printer is given by:<BR>\n" );
document.write( "D = -200p + 35,000<BR>\n" );
document.write( "The supply equation is predicted to be:<BR>\n" );
document.write( "S = -p^2 + 400p - 20,000<BR>\n" );
document.write( "Find the equilibrium price. \r<BR>\n" );
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document.write( "This question has me completely lost on how to start, middle, end, or answer. Hope there is some help out there for this one. Thank you very very much  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46458 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=46458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When your supply meets (=) the demand, you have fulfilled equillibrium.<BR>\n" );
document.write( "Supply = Demand<BR>\n" );
document.write( "-p^2 + 400p - 20,000 = -200p + 35,000<BR>\n" );
document.write( "0 = p^2 - 600p + 55,000<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=quadratic.solver>SOLVE quadratic equation with variable</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ap%5E2%2Bbp%2Bc=0 ALIGN=MIDDLE  ALT=\"ap%5E2%2Bbp%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in our case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1p%5E2%2B-600p%2B55000+=+0 ALIGN=MIDDLE  ALT=\"1p%5E2%2B-600p%2B55000+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >) has the following solutons:<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"p%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  For these solutions to exist, the <U>discriminant</U> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > should not be a negative number.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  First, we need to compute the discriminant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=%28-600%29%5E2-4%2A1%2A55000=140000 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%28-600%29%5E2-4%2A1%2A55000=140000\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Discriminant d=140000 is greater than zero. That means that there are two solutions: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B12%5D+=+%28--600%2B-sqrt%28+140000+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"+x%5B12%5D+=+%28--600%2B-sqrt%28+140000+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5B1%5D+=+%28-%28-600%29%2Bsqrt%28+140000+%29%29%2F2%5C1+=+487.082869338697 ALIGN=MIDDLE  ALT=\"p%5B1%5D+=+%28-%28-600%29%2Bsqrt%28+140000+%29%29%2F2%5C1+=+487.082869338697\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5B2%5D+=+%28-%28-600%29-sqrt%28+140000+%29%29%2F2%5C1+=+112.917130661303 ALIGN=MIDDLE  ALT=\"p%5B2%5D+=+%28-%28-600%29-sqrt%28+140000+%29%29%2F2%5C1+=+112.917130661303\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <BR>\n" );
document.write( "    Quadratic expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1p%5E2%2B-600p%2B55000 ALIGN=MIDDLE  ALT=\"1p%5E2%2B-600p%2B55000\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be factored:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1p%5E2%2B-600p%2B55000+=+1%28p-487.082869338697%29%2A%28p-112.917130661303%29 ALIGN=MIDDLE  ALT=\"1p%5E2%2B-600p%2B55000+=+1%28p-487.082869338697%29%2A%28p-112.917130661303%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  Again, the answer is: 487.082869338697, 112.917130661303.\n" );
document.write( "Here's your graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-600%2Ax%2B55000+%29 ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-600%2Ax%2B55000+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );