document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=352873>Question 352873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> there are currently 20 members in a school's ski club and the dues are $8 per member. to encourage the recruiting of new members, the club treasurer suggests that for each new member recruited, the dues for all members be reduced by 10 cents<BR>\n" );
document.write( "a) how much membership money will the club have if it recruits 10 new members? 15 new memers? N new members?<BR>\n" );
document.write( "b) for what value of N will be the club's total membership money be a maximum??\r<BR>\n" );
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document.write( "please help i am clueless in how to solve this problem thanks!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #252229 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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/cgi-bin/show-face.mpl?user=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=252229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the expression for membership money is ___ (members) * (dues) = money\r<BR>\n" );
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document.write( "where n is the number of new members ___ (20 + n)(8 - .1n) = m ___ 160 + 6n - .1n^2 = m\r<BR>\n" );
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document.write( "a) substitute the values for new members and solve for m\r<BR>\n" );
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document.write( "b) the maximum lies on the axis of symmetry of the quadratic<BR>\n" );
document.write( "___ the general formula of the axis of symmetry for ax^2+bx+c is ___ x = -b / (2a)\r<BR>\n" );
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document.write( "in this case ___ n = -6 / [2(-.1)] ___ this is the number of new members for maximum money </SPAN>\n" );
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