document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329163>Question 329163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A museum director is trying to maximize profit. Current daily attendance is 500 people paying $30 each for a ticket. X represents the number of $5 increases in ticket price. How many $5 increases will provide the maximum income for the museum? Maximum capacity of the museum is 500 people which he meets daily.\r<BR>\n" );
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document.write( "I(x) = (500 – x) (500 + 5x)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235959 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I(x) = (500 - x)(500 + 5x) become y = -5x^2 + 2000x + 250,000 after multiplying the left side of the original equation. \r<BR>\n" );
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document.write( "Let y = 0 and solve for x.\r<BR>\n" );
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document.write( "Now, use the quadratic formula where a = -5, b = 2000 and c = 250,000 to solve for x.  Can you take it from here? </SPAN>\n" );
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