A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below,
p = 500 - 0.1x and C(x) = 20,000 + 140x
a. What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue?
b. What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit?