document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072479>Question 1072479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ace cruiser line offers an inland waterway cruise to a group of 50 people for a price of R30 per person but it reduces the price person by R0.50 for each additional person above 50 <BR>\n" );
document.write( "How many people will provide maximum revenue for the cruise? <BR>\n" );
document.write( "What is average rate of change if a group increase from 50 to 55 people? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #687367 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=687367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, number of people above 50<BR>\n" );
document.write( "Price,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30-%280.5%29x ALIGN=MIDDLE  ALT=\"30-%280.5%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cruise Revenue, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2830-%280.5%29x%29 ALIGN=MIDDLE  ALT=\"x%2830-%280.5%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "y for revenue<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2830-x%2F2%29 ALIGN=MIDDLE  ALT=\"y=x%2830-x%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Roots:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=0%2Cand%2Cx=60%29 ALIGN=MIDDLE  ALT=\"system%28x=0%2Cand%2Cx=60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The middle of these is x=30, or number of people on the cruise, 80.<BR>\n" );
document.write( "The maximum revenue, R450.\r<BR>\n" );
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document.write( "\"average rate of change\", what?  of Revenue or of price?<BR>\n" );
document.write( "Response:  for PRICE.<BR>\n" );
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document.write( "The minimum group of 50 people, price was R30.<BR>\n" );
document.write( "For 55 people, this is five-person lower price of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30-5%2F2=27.5 ALIGN=MIDDLE  ALT=\"30-5%2F2=27.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or R27.5.<BR>\n" );
document.write( "The rate of price change , which is DECREASING, is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27.5%2F5=highlight%28-5.5%29 ALIGN=MIDDLE  ALT=\"-27.5%2F5=highlight%28-5.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, R per person. </SPAN>\n" );
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