A company finds that if it charges x dollars for a cell phone, it can expect to sell 1,000-2x phones. The company uses the function r defined by r(x)=x⋅(1,000−2x) to model the expected revenue, in dollars, from selling cell phones at x dollars each.

Answer the 2 questions below.

a) What are the X-Intercepts and what do they mean in this situation?

b) At what price should the company sell their phones to get the maximum revenue? Explain your reasoning