document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54313>Question 54313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mona Kalini gives a walking tour of honolulu to one person for $47. To increase her business, she advertised at the national honolulu orthondontist convention that she would lower the price by $1 per person for each additional person, up to 47 people. Write her revenue as a function of the number of people on the tour. What number of people on the tour would maximize her revenue? What is the maximum revenue for her tour? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #36578 by </B><A HREF=/tutors/aboutme.mpl?userid=jenrobrody><B>jenrobrody(19)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jenrobrody><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=36578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of people on the tour<BR>\n" );
document.write( "48-x = price per person for x number of people,<BR>\n" );
document.write( "for example one person(x=1) would give 48-1=47 dollars per person<BR>\n" );
document.write( "or  10 people(x=10) would give 38 dollars per person<BR>\n" );
document.write( "The revenue earned would be the cost per person times the number of people.<BR>\n" );
document.write( "R(x)=(48-x)x  or  R(x)=48x-x^2<BR>\n" );
document.write( "Written in standard form:   R(x)= -1x^2 + 48x + 0   a=-1, b=48, c=0<BR>\n" );
document.write( "Vertex(min/max) at x = -b/2a = -48/(2*-1)=-48/-2 = 24<BR>\n" );
document.write( "Maximum revenue for 24 people.<BR>\n" );
document.write( "R(24)=(48-24)(24) = 24(24) = 570 </SPAN>\n" );
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