An electronic widget company's profit, P(x), is modeled by the function P(x) = -0.5x2 + 5x + 200, where x is the number of $0.25 price increases of each widget. Use the graph to answer the question.

Graph of function p of x equals negative 0.5 x squared plus 5 x plus 200. The graph has the axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 200), increases to (5, 212.5), and then decreases through (25.616, 0).

Which option best approximates the maximum profit and number of price increases?

The maximum profit of $200.00 occurs at 0 price increases.
The maximum profit of $200.00 occurs at 10 price increases.
The maximum profit of $212.50 occurs at 5 price increases.
The maximum profit of $0.00 occurs at 25.6 price increases.