<PRE><B>Question 1073148</B>
The revenue is people* price
The price per person drops by 0.5 for each additional person
(50+x)(30-0.5x) is the revenue
to maximize, multiply it out to get 1500+5x-.5x^2

The vertex is at x=-b/2a, or x=-5/-1=5
The maximum is at 55*27.50=1512.50
at 56, it would be 56*27=1512.
55 people would be the maximum revenue.
</PRE>