document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186829>Question 1186829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good Day,<BR>\n" );
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document.write( "The demand curve for a swivel chair is given by p=4000^(3-q) dollars per swivel chair, where p is the price and q is the quantity, in thousands of swivel chairs, demanded at that price. What quantity will be demanded if the price per swivel chair is $256.60? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817815 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the demand curve formula is:\r<BR>\n" );
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document.write( "p = 4000 ^ (3 - q) \r<BR>\n" );
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document.write( "p is the price per swivel charge.<BR>\n" );
document.write( "q is the number of 1000 swivel chairs.\r<BR>\n" );
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document.write( "when the price is 256, the formula becomes:\r<BR>\n" );
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document.write( "256 = 4000 ^ (3 - q)\r<BR>\n" );
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document.write( "take the log of both sides of this equation to get:\r<BR>\n" );
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document.write( "log(256) = log(4000 ^ (3 - q))\r<BR>\n" );
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document.write( "since log(4000 ^ (3 - q)) is equal to (3 - q) * log(4000), the equation becomes:\r<BR>\n" );
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document.write( "log(256) = (3 - q) * log(4000)\r<BR>\n" );
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document.write( "divide both sides of this equation by log(4000) to get:\r<BR>\n" );
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document.write( "log(256) / log(4000) = 3 - q\r<BR>\n" );
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document.write( "add q to both sides of this equation and subtract log(256) / log(4000) from both sides of this equation to get:\r<BR>\n" );
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document.write( "q = 3 - log(256) / log(4000).\r<BR>\n" );
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document.write( "solve for q to get:\r<BR>\n" );
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document.write( "q = 2.331427025.\r<BR>\n" );
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document.write( "that should be your solution.\r<BR>\n" );
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document.write( "confirm by replacing q in the original equation to get:\r<BR>\n" );
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document.write( "p = 4000 ^ (3 - q)  becomes:\r<BR>\n" );
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document.write( "p = 4000 ^ (3 - 2.331427025)\r<BR>\n" );
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document.write( "solve for p to get:\r<BR>\n" );
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document.write( "p = 256.\r<BR>\n" );
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document.write( "your solution is confirmed to be good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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