document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972138>Question 972138</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a distributor of apple juice has 5000 bottle in the store that it wishes to distribute in a month. from experience it is known that demand D(in number of bottle) is given by D=-2000p^2+2000p+17000. the price per bottle that will result 0 inventory is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594505 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=594505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "To achieve zero inventory, the demand must be greater than or equal to the supply.  Since the demand is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large D\ =\ -2000p^2\ +\ 2000p\ +\ 17000\"> and the supply is 5000, solve the following inequality for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE p\">:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -2000p^2\ +\ 2000p\ +\ 17000\ \geq\ 5000\">\r<BR>\n" );
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document.write( "Note that no matter how great the demand is, the inventory cannot be less than zero -- once the bottles are gone, they are gone, no matter how many people want more.  Therefore we are solving an inequaltiy.  If the question had asked, \"What is the <i>greatest price</i> that will result in zero inventory?\" then you would be solving the <i>equation</i>:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -2000p^2\ +\ 2000p\ +\ 17000\ =\ 5000\">\r<BR>\n" );
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document.write( "Good luck.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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