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. Use graphing technology to graph the function r. What do the x-intercepts mean in this situation?
Use graphing technology to graph the function r. Is 0 < x <600 an appropriate domain for the function r? Explain your reasoning.
Use graphing technology to graph the function r. At what price should the company sell their phones to get the maximum revenue? Explain your reasoning.