Use the revenue function, R(x) = −9x² + 198x, and cost function, C(x) = 90x + 180, where x is the number of items made and sold, to determine each of the following. Assume both revenue and cost are given in dollars. 

(a) Find the number of items sold when revenue is maximized. items

(b) Find the maximum revenue (in dollars). $

(c) Find the number of items sold when profit is maximized items

(d) Find the maximum profit (in dollars). $

(e) Find the break-even quantity/quantities items