document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112292>Question 112292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hey hi,\r<BR>\n" );
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document.write( "A theatre seats 2000 people and charges $10 for a ticket. At this price, all the tickets can be sold. A survey indicates that if the ticket price is increased, the number sold will decrease by 100 for every dollar of increase. what ticket price would result in the greatest revenue?\r<BR>\n" );
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document.write( "And thank you.\r<BR>\n" );
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document.write( "i will be waiting! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81923 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=81923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> revenue=(tickets)*(price) ___ let x=\"price increase\"\r<BR>\n" );
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document.write( "r=(2000-100x)(10+x) ___ r=20000+1000x-100x^2\r<BR>\n" );
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document.write( "the graph of this is a downward opening parabola ___ the maximum is on the axis of symmetry\r<BR>\n" );
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document.write( "x=-b/2a ___ x=-1000/((2)(-100))\r<BR>\n" );
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document.write( "if you want, you can find the revenue by substituting the x value into the r equation </SPAN>\n" );
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