A small theatre's profit, P(x), from selling concert tickets is P(x) = -15x2 + 60x + 30, where x is the number of $2 price increases of each ticket. Use the graph below to answer the question.
Graph of function p of x equals negative 15x squared plus 60 x plus 30. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 30) and increases to (2, 90) and then decreases through (4.449, 0).
How many price increases maximized the theatre's profit?
