document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=357804>Question 357804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a local arena, there are 1000 premium seats, costing $50 each. Due to an increase in operating expenses, the arena must increase the price of a seat. They know that for every $3.75 increase in price, they will lose 4 patrons. Find the new price they should charge to make the most money and lose the fewest patrons. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #255401 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=255401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = # of unit increase in the price. <BR>\n" );
document.write( "Then the revenue function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%28x%29+=+%2850+%2B+3.75x%29%281000-4x%29 ALIGN=MIDDLE  ALT=\"R%28x%29+=+%2850+%2B+3.75x%29%281000-4x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "the vertex happens at x = 355/3, or 118.333...<BR>\n" );
document.write( "Since positive integral values are acceptable only, either x = 118 or x = 119.  Direct substitution into the revenue function, and comparison of the resulting values results in x = 118 giving the higher revenue.<BR>\n" );
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