The marketing research department for a company that manufactures and sells notebook computers established the following price-demand, revenue functions and cost functions: p(x) = 2,000 - 60x R(x) = x(2,000 - 60x) C(x) = 4,000 + 500x where p(x) is the wholesale price in dollars at which x thousand computers can be sold, and R(x) and C(x) are in thousands of dollars. The functions R(x) and C(x) have domain 1 lessthanorequalto x lessthanorequalto 25. (A) What is the wholesale price per computer (to the nearest dollar) that produces the maximum revenue? (B) Find the break-even points. (C) For what values of x will a loss occur? A profit?
