document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167650>Question 167650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really do not understand this problem at all... help, please! ---use the fact that revenue = price*quantity to solve the problem. the price (p) in dollars and the quantity (x) sold of a certain product are described by the following: p=-1/6x+100, 0<=x<=600. <BR>\n" );
document.write( "a)express the revenue R as a function of x. <BR>\n" );
document.write( "b)what quantity x maximizes the revenue?<BR>\n" );
document.write( "c)what price should the company charge for the maximum revenue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123555 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=123555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use the fact that revenue = price*quantity to solve the problem. the price (p) in dollars and the quantity (x) sold of a certain product are described by the following: p=-1/6x+100, 0<=x<=600. <BR>\n" );
document.write( "a)express the revenue R as a function of x.<BR>\n" );
document.write( "R(x) = x[(-1/6)x + 100] = (-1/6)x^2 + 100x<BR>\n" );
document.write( "------------------------------------- <BR>\n" );
document.write( "b)what quantity x maximizes the revenue?<BR>\n" );
document.write( "max occurs when x = -b/2a = -100/(2(-1/6)) = 300<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "c)what price should the company charge for the maximum revenue?<BR>\n" );
document.write( "P(300) = (-1/6)(300) + 100<BR>\n" );
document.write( "p(300) = -50 + 100 = $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" );