document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021550>Question 1021550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The demand curve for a specially brewed Caribbean Rum is given by <BR>\n" );
document.write( "&#119875; = 8000 (1 &#8722; (8  )/(  e^(-0.001Q )  + 8 )), where P is the price per 750ml bottle and Q the number of bottles demanded.<BR>\n" );
document.write( " a. Approximately how many bottles will be demanded when the price is $169.50?<BR>\n" );
document.write( "b. Approximately how many more bottles will be demanded if the price fell to $125.50?<BR>\n" );
document.write( "What price should a bottle sell for if only 1000 bottles were brewed and brewery wanted to satisfy the demand exactly?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637320 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=637320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solving for Q in the given function, we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%288P%29%2F%288000+-+P%29%29%2F-0.001+=+Q ALIGN=MIDDLE  ALT=\"ln%28%288P%29%2F%288000+-+P%29%29%2F-0.001+=+Q\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a. For P = 169.50, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q+=+ln%28%288%2A169.50%29%2F%288000+-+169.50%29%29%2F-0.001+=+1753 ALIGN=MIDDLE  ALT=\"Q+=+ln%28%288%2A169.50%29%2F%288000+-+169.50%29%29%2F-0.001+=+1753\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the nearest whole number.\r<BR>\n" );
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document.write( "b.For P = 125.50, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q+=+ln%28%288%2A125.50%29%2F%288000+-+125.50%29%29%2F-0.001+=+2060 ALIGN=MIDDLE  ALT=\"Q+=+ln%28%288%2A125.50%29%2F%288000+-+125.50%29%29%2F-0.001+=+2060\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the nearest whole number.<BR>\n" );
document.write( "==> 307 more bottles will be demanded if the price fell to $125.50.\r<BR>\n" );
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document.write( "c. Just substitute Q = 1000 into the expression for P and use your scientific calculator to evaluate.  (The answer is $351.70.)\r<BR>\n" );
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document.write( "(The 8 in the denominator is not part of the exponent of e, so the equation looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P=+8000+%281+-+8+%2F%28+e%5E%28-0.001Q%29+%2B+8%29%29 ALIGN=MIDDLE  ALT=\"+P=+8000+%281+-+8+%2F%28+e%5E%28-0.001Q%29+%2B+8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The algebra involved in solving for Q in terms of P would have taken into account the presence of 8 in the denominator.) </SPAN>\n" );
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