document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=589959>Question 589959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi:  I have this word problem that I'm uncertain how to set up to solve.  If someone could give me directions, I'd be grateful. Cheers! Angela \r<BR>\n" );
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document.write( "Problem:<BR>\n" );
document.write( "\"daily demand for a certain item is 500/p, where p is the price of the item in dollars.  The daily supply is 2p-1.  At what price does supply equal demand?  \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #375033 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=375033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> daily demand for a certain item is 500/p, where p is the price of the item in dollars. The daily supply is 2p-1.<BR>\n" );
document.write( " At what price does supply equal demand? <BR>\n" );
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document.write( "They asking at what p, is the supply = to the demand, therefore<BR>\n" );
document.write( "2p - 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2FP ALIGN=MIDDLE  ALT=\"500%2FP\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by p<BR>\n" );
document.write( "2p^2 - p = 500<BR>\n" );
document.write( "2p^2 - p - 500 = 0; a quadratic equation, use the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "In this problem x=p; a=2; b=-1; c=-500<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%28-%28-1%29+%2B-+sqrt%28-1%5E2-4%2A2%2A-500+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"p+=+%28-%28-1%29+%2B-+sqrt%28-1%5E2-4%2A2%2A-500+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%281+%2B-+sqrt%281+%2B+4000+%29%29%2F4+ ALIGN=MIDDLE  ALT=\"p+=+%281+%2B-+sqrt%281+%2B+4000+%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%281+%2B-+sqrt%284001+%29%29%2F4+ ALIGN=MIDDLE  ALT=\"p+=+%281+%2B-+sqrt%284001+%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We only care about the positive solution here<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%281+%2B+63.253%29%2F4+ ALIGN=MIDDLE  ALT=\"p+=+%281+%2B+63.253%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64.253%2F4 ALIGN=MIDDLE  ALT=\"64.253%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p = $16.06 is the price for equal supply and demand<BR>\n" );
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document.write( "see if that checks out in each equation<BR>\n" );
document.write( "2(16.06) - 1  = 31.12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F16.06 ALIGN=MIDDLE  ALT=\"500%2F16.06\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 31.13, close enough<BR>\n" );
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