document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114839>Question 1114839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company that conducts bus tours found that when the price was $9.00 per person,the average number of customers was 1000 per week. When the company reduced the price to $7.00 per person, the average number of customers increased to 1500 per week.<BR>\n" );
document.write( "(a)Write a linear equation that gives the unit price p, in terms of the average number of customers x per week. (Write your answer in the form p = mx + b.)<BR>\n" );
document.write( "b). What unit price should be charged to obtain the greatest weekly revenue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729767 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=729767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A company that conducts bus tours found that when the price was $9.00 per person,the average number of customers was 1000 per week. When the company reduced the price to $7.00 per person, the average number of customers increased to 1500 per week.<BR>\n" );
document.write( "(a)Write a linear equation that gives the unit price p, in terms of the average number of customers x per week. (Write your answer in the form p = mx + b.)<BR>\n" );
document.write( "b). What unit price should be charged to obtain the greatest weekly revenue?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Revenue = price*# of customers<BR>\n" );
document.write( "$2 decrease in price resulted in 500 increase in customers<BR>\n" );
document.write( "R(x) = (9-2x)(1000+500x)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "To find \"greatest weekly revenue\"::<BR>\n" );
document.write( "R(x) = 9000 + 4500x-2000x -1000x^2<BR>\n" );
document.write( "R'(x) = 2500 - 2000x<BR>\n" );
document.write( "Solve:: -2000x = -2500<BR>\n" );
document.write( "x = 1.25<BR>\n" );
document.write( "Ans: Best price $9-2*1.25 = $6.50<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );