document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104460>Question 104460</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi was wondering if i could get some help with this question please and thank you.\r<BR>\n" );
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document.write( "Brook Winfield operates a snowmobile lodge. Last year it had 95 guests, each of which paid $160 per night.The lodge accountant estimates that for every $1 reduction in the price five additional customers will rent a room.\r<BR>\n" );
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document.write( "a)write a function representing the revenue of the lodge.<BR>\n" );
document.write( "b)what is the maximum projected revenue?\r<BR>\n" );
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document.write( "thanks again </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75985 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=75985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Last year it had 95 guests, each of which paid $160 per night.The lodge accountant estimates that for every $1 reduction in the price five additional customers will rent a room. <BR>\n" );
document.write( "a)write a function representing the revenue of the lodge.<BR>\n" );
document.write( "b)what is the maximum projected revenue? <BR>\n" );
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document.write( "Let \"x\" be the amount of reduction in price per room below 160.<BR>\n" );
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document.write( "Revenue = price * # of guests<BR>\n" );
document.write( "Revenue = (160-x)(95+5x)<BR>\n" );
document.write( "R(x) = -5x^2+705x+15200<BR>\n" );
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document.write( "Maximum occurs when x=-b/2a = -705/(-10) = 70.5<BR>\n" );
document.write( "Maximum revenue = R(70.5)<BR>\n" );
document.write( "R(70.5) = -5(70.5)^2+705(70.5)+15200<BR>\n" );
document.write( "R(70.5) = $40,051.25<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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