SOLUTION: the profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function P(X)=-15x squared + 600x + 60

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Question 1091312: the profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function P(X)=-15x squared + 600x + 60 where x is the price of each ticket. What ticket price would give the maximum profit? find the maximum profit

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
P(X)=-15x^2+ 600x+ 60
The vertex has the x value = -b/2a=-600/-30 or 20
so x=$20, which is the maximum
the profit would be $6060.
graph%28300%2C300%2C-30%2C30%2C-400%2C10000%2C-15x%5E2%2B600x%2B60%29
at $21, the profit is $6045
at $19, the profit is $6045