document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=907706>Question 907706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A health club currently charges its 1,700 clients monthly membership dues of $44. The board of directors decides to increase the monthly membership dues. Market research shows that each $1 increase in dues will result in the loss of 7 clients. How much should the club charge each month to optimize the revenue from monthly dues? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550523 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=550523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Monthly revenue goes this way:\r<BR>\n" );
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document.write( "(clients)*(membershipRate)<BR>\n" );
document.write( "1700*44<BR>\n" );
document.write( "(1700-7)*(44+1)<BR>\n" );
document.write( "(1700-7-7)(44+1+1)<BR>\n" );
document.write( "(1700-7x)(44+x)\r<BR>\n" );
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document.write( "Let x = dollar increase in membership monthly rate, and the monthly revenue is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%281700-7x%29%2844%2Bx%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%281700-7x%29%2844%2Bx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the domain must be whole numbers.  The function definition will be a parabola with a maximum.  My solution response stops here unless you find more difficulty with this. </SPAN>\n" );
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