# Math Help - Maximium Revenue

1. ## Maximium Revenue

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2. Originally Posted by ab32
A water park finds that at an admission price of $16, attendance is 600 people per day. For every$1 decrease in price, 50 more people visit the park per day. Find the price and corresponding park attendance that maximize revenue.

how do i do this problem?? having a hard time solving

stablish the equation: (16 - X)(600 + 50x)

find the vertex that will generate the revenue: x1= 16 x2=-12
x2 + x1 /2 (-12+16)/2=2

(16-2)(600+100)=9800. vertex at (2, 9800)

therefore: the maximum revenue $9800. price$14.