document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894595>Question 894595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I will give it another shot. Gold's Gym charges $300 per year for new members to join, they get 1000 members. The gym can expect to lose about 5 members for the $2.00 increase in price. How much should the gym charge to maximize its revenue? What is Gold's Gym 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 #542179 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=542179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> q for how many members<BR>\n" );
document.write( "x for price\r<BR>\n" );
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document.write( "PRICE__________Members<BR>\n" );
document.write( "300____________1000<BR>\n" );
document.write( "302____________1000-5<BR>\n" );
document.write( "304____________1000-10<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28q=300-%285%2F2%29x%29 ALIGN=MIDDLE  ALT=\"highlight_green%28q=300-%285%2F2%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Member count is a function of price.\r<BR>\n" );
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document.write( "Let r stand for revenue.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=q%2Ax ALIGN=MIDDLE  ALT=\"r=q%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=x%28300-%285%2F2%29x%29 ALIGN=MIDDLE  ALT=\"r=x%28300-%285%2F2%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or in general form for the function,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28r=-%285%2F2%29x%5E2%2B300x%29 ALIGN=MIDDLE  ALT=\"highlight_green%28r=-%285%2F2%29x%5E2%2B300x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You want the maximum of this formula for r, the vertex.  Find the roots, check the value at the midpoint of the two roots and use it to compute r.   </SPAN>\n" );
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