1. The function \( P ( x ) = - 30 x ^ { 2 } + 360 x + 785 \) models the profit, \( P ( x ) \) , earned by a theatre owner on the basis of a ticket price, \( x \) . Both the profit and ticket price are in dollars. What is the maximum profit, and how much should the tickets cost?
Question
Answer
x=6
P(6)=1865