document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54922>Question 54922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have this problem that I desperately need help with.  I am supposed tro use factoring on this but I'm having trouble with it. It goes:\r<BR>\n" );
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document.write( "Tropical Pools sells an aboveground model for \"p\" dollars each. The monthly revenue from the sale of this product is given by\r<BR>\n" );
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document.write( "R = -0.08p^2 + 300p\r<BR>\n" );
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document.write( "Revenue is the product of \"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 of 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.) What is the approximate maimum revenue?\r<BR>\n" );
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document.write( "Can anyone help me out with this?\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37143 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=37143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The monthly revenue from the sale of this product is given by <BR>\n" );
document.write( "R = -0.08p^2 + 300p <BR>\n" );
document.write( "Revenue is the product of \"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 of the monthly demand?<BR>\n" );
document.write( "D=-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<BR>\n" );
document.write( "D(3000)=240+300=540 <BR>\n" );
document.write( "d.) What is the approximate maximum revenue?<BR>\n" );
document.write( "Maximum at -b/2a where a=-0.08, b=300<BR>\n" );
document.write( "Max at -300/(-0.16)= 1875<BR>\n" );
document.write( "R(1875)= -0.08(1875)^2+300(1875)=$281,250 (Maximum Revenue)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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