document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143223>Question 143223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pls help me.\r<BR>\n" );
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document.write( "Steve owns a hotdog stand. He has found that sales of hot dogs average 45,000 hot dogs a year when the hot dogs sell for $2.50 each. For each 50 cent increase in the price, the number of hotdogs sold drop by 5000. What price per hot dog should Steve charge to realize the maximum revenue?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104222 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=104222\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Revenue = Quantity*Price\r<BR>\n" );
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document.write( "Price = 2.50 + 0.0001(45000-Q)    Q <= 45000\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+=+Q+%282.50+%2B+4.5+-+0.0001Q%29 ALIGN=MIDDLE  ALT=\"R+=+Q+%282.50+%2B+4.5+-+0.0001Q%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+=+7Q+-+0.0001Q%5E2 ALIGN=MIDDLE  ALT=\"R+=+7Q+-+0.0001Q%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+=+Q+%287+-+0.0001Q%29+ ALIGN=MIDDLE  ALT=\"R+=+Q+%287+-+0.0001Q%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There are several ways to solve this. If you understand calculus, take the first derivative and solve for the max.\r<BR>\n" );
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document.write( "If you want to just use simple algebra, find the two places where the Revenue is 0 and then split the difference.\r<BR>\n" );
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document.write( "If you are good with parabolas, find the vertex.\r<BR>\n" );
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document.write( "whichever way, you find the most revenue selling 35,000 dogs\r<BR>\n" );
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