document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44396>Question 44396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need your help to solve this problem \r<BR>\n" );
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document.write( "A hotel administrator has 200 rooms available for rent each night.  Experience shows that if he charges $45 per night, he will have full occupancy, but that for each $5 that he increases the price, 4 rooms become vacant. All other factors being equal, what will his maximum revenue be? <BR>\n" );
document.write( "       A.  $16,820<BR>\n" );
document.write( "       B.  $13,520<BR>\n" );
document.write( "       C.  $8820<BR>\n" );
document.write( "       D.  $12,000<BR>\n" );
document.write( "       E.  $11,520<BR>\n" );
document.write( "       F.  $18,000<BR>\n" );
document.write( "       G.  none of these<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29317 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=29317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let \"x\" be the number of $5 increases.<BR>\n" );
document.write( "Then Revenue = (45+5x)(200-4x)<BR>\n" );
document.write( "             = 45(200)+1000x-180x-20x^2<BR>\n" );
document.write( "             = -20x^2+820x+9000<BR>\n" );
document.write( "Maximum Revenue occurs when <BR>\n" );
document.write( "    x=-b/2a =-(820)/-40=20.5<BR>\n" );
document.write( "When x=20.5, Revenue = $17405<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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