document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202797>Question 202797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> theater owner charges $3.00 of admission, there is an average attendance of 100 people.  for every .10 increase in the admission price , there is a loss of 2 customers from the average number.<BR>\n" );
document.write( "Teacher is asking what admission price should be charged in order to maximize revenue?<BR>\n" );
document.write( "what is the maximum revenue?\r<BR>\n" );
document.write( "\n" );
document.write( "I set it up <BR>\n" );
document.write( "R(x)= (3.00-.10x)(100-2x)<BR>\n" );
document.write( "am I on the right track<BR>\n" );
document.write( "not sure what to due next<BR>\n" );
document.write( "thanks<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 #152964 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=152964\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  theater owner charges $3.00 of admission, there is an average attendance of 100 people. for every .10 increase in the admission price , there is a loss of 2 customers from the average number.<BR>\n" );
document.write( "Teacher is asking what admission price should be charged in order to maximize revenue?<BR>\n" );
document.write( "what is the maximum revenue? <BR>\n" );
document.write( "I set it up <BR>\n" );
document.write( "R(x)= (3.00-.10x)(100-2x)<BR>\n" );
document.write( "am I on the right track<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Revenue = unit price*attendance<BR>\n" );
document.write( "R = (300-10x)(100-2x)<BR>\n" );
document.write( "R = 30000 - 600x -1000x + 20x^2<BR>\n" );
document.write( "R = 20x^2 - 1600x + 30000<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Maximum R occurs when x = -b/2a = 1600/(40) = 40<BR>\n" );
document.write( "When x = 40 the ticket price is 300-40 = $2.60<BR>\n" );
document.write( "=====================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );