The point at which a company’s profits equal zero is called the company’s break-even point. For problem, let R represent a company’s revenue, let C represent the company’s costs, and let x represent the number of units produced and sold each day.

(a) Find the firm’s break-even point; that is, find x so that R = C.

(b) Find the values of x such that R(x) > C(x).This represents the number of units that the company must sell to earn a profit.

R(x) = 8x

C(x) = 4.5x + 17,500