document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=911382>Question 911382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a carpenter can construct bookcases at a cost of 40 each. if the carpenter sells the bookcases for x dollars each, it is estimated that 300-2x bookcases will be sold per month. determine the selling price of each bookcase that will give the carpenter the greatest monthly profit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553063 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=553063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a carpenter can construct bookcases at a cost of 40 each. if the carpenter sells the bookcases for x dollars each, it is estimated that 300-2x bookcases will be sold per month. determine the selling price of each bookcase that will give the carpenter the greatest monthly profit.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Cost to produce 300-2x bookcases = 40(300-2x) = 12000-80x dollars<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Revenus when 300-2x bookcases are sold : (300-2x)x = 300x - 2x^2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Profit = (revenue-cost) = -2x^2 + 380x - 12000<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Maximum profit occurs when x = -b/(2a) = -380/(2*-2) = 95<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" );