Question: A company manufactures and sells x digital cameras per week. The weekly price-demand and cost equations are, respectively, \[p=400-0.4x\] and \[C(x)=2,000+160x.\]

a. What price should the company charge for cameras, and how many cameras should be produced to maximize the weekly revenue? What is the maximum revenue?

b. What is the maximum weekly profit? How much should the company charge for the cameras, and how many cameras should be produced to realize the maximum weekly profit?