document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253584>Question 253584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The members of the Lincoln High School Prom Committee are trying to raise money for their senior prom. They plan to sell teddy bears. The senior advisor told them that the profit equation for their project is y= -0.1x^2+9x-50 where x is the price at which the teddy bears will be sold and y is the profit, in dollars. How much profit can the committee expect to make if they sell the teddy bears for $20 each? What price should they charge for the teddy bears to make maximum profit possible? \r<BR>\n" );
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document.write( "It is a word problem with 2 questions!<BR>\n" );
document.write( "I did the first one:<BR>\n" );
document.write( "y= -0.1(20)^2+9(20)-50<BR>\n" );
document.write( "=-40+180-50<BR>\n" );
document.write( "=90<BR>\n" );
document.write( "If the teddy bears were sold for 20 dollars each, they would make 90 dollars! \r<BR>\n" );
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document.write( "I don't understand the second problem:<BR>\n" );
document.write( "What price should they charge for the teddy bears to make maximum profit possible?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185931 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=185931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Since you have a 2nd degree function with a negative lead coefficient, the graph will be a parabola opening down.  The horizontal coordinate of the vertex of the parabola is the input value that gives the maximum function value.  The horizontal coordinate of a parabola is found by dividing the additive inverse of the 1st degree term coefficient by two times the lead coefficient, which is to say <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{-b}{2a}\">, or in your case <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{-9}{2(-0.1)}\">.  You can do your own arithmetic.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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