document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58269>Question 58269</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072538953/algebrahomeworkh>University of Phoenix  Special Edition Series Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> (94) Demand for pools. Tropical Pool sells an aboveground model for p dollars each. The monthly revenue from the sale of this model is given by <BR>\n" );
document.write( "R = -0.08p^2 + 300p. Revenue is the product of the price p and the demand (quantity sold).\r<BR>\n" );
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document.write( "a) Factor out the price on the right-hand side of the formula.\r<BR>\n" );
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document.write( "b) What is an expression for the monthly demand?\r<BR>\n" );
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document.write( "c) What is the monthly demand for this pool when the price is $3000?\r<BR>\n" );
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document.write( "d) Use the graph to estimate the price at which the revenue is maximized. Approximately how many pools will be sold at this price?\r<BR>\n" );
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document.write( "e) What is the approximate maximum revenue?<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 #39994 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=39994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Demand for pools. Tropical Pool sells an aboveground model for p dollars each. The monthly revenue from the sale of this model is given by <BR>\n" );
document.write( "R = -0.08p^2 + 300p. Revenue is the product of the price p and the demand (quantity sold). <BR>\n" );
document.write( "a) Factor out the price on the right-hand side of the formula.<BR>\n" );
document.write( "R=p(-0.08p+300) <BR>\n" );
document.write( "b) What is an expression for the monthly demand?<BR>\n" );
document.write( "D(p)=-0.08p+300 <BR>\n" );
document.write( "c) What is the monthly demand for this pool when the price is $3000? <BR>\n" );
document.write( "D(3000)=-0.08(3000)+300=60<BR>\n" );
document.write( "d) Use the graph to estimate the price at which the revenue is maximized.<BR>\n" );
document.write( "Maximum at p=$1875\r<BR>\n" );
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document.write( " Approximately how many pools will be sold at this price? <BR>\n" );
document.write( "D(1875)=150 pools<BR>\n" );
document.write( "e) What is the approximate maximum revenue?<BR>\n" );
document.write( "Same answer as in \"d\".<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "stan H.\r<BR>\n" );
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