document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812677>Question 812677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me with solving: The total cost of producing x units is C=60x=300, whereas the revenue brought in of selling x units is R=100x-0.5x^2<BR>\n" );
document.write( "How many units need to be sold to maximize reveune? what is 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 #489245 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=489245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can you help me with solving: The total cost of producing x units is C=60x=300, whereas the revenue brought in of selling x units is R=100x-0.5x^2<BR>\n" );
document.write( "How many units need to be sold to maximize reveune? what is the maximum revenue?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "R(x) is a quadratic with a = -5 and b = 100<BR>\n" );
document.write( "----<BR>\n" );
document.write( "R(x) has a maximum value when x = -b/(2a) = -100/(2*-5) = 10<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Maximum revenue = R(10) = 100*10 - 0.5(10^2) = 1000-50 = $950.00<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" );