A company produces x units of a product per month, where C(x)

represents the total cost and R(x) represents the total revenue for the

month. The functions are modeled by C(x) = 300x + 250 and

R(x) = -0.5x^2 + 800x - 100. The profit is the difference between

revenue and cost where P(x) = R(x) - C(x). What is the total profit,

P(x), for the month?

(1) P(x) = -0.5x^2 + 500x - 150

(2) P(x) = -0.5x^2 + 500x - 350

(3) P(x) = -0.5x^2 - 500x + 350

(4) P(x) = -0.5x^2 + 500x + 350