Suppose a company's revenue function is given by R(q) = -q* + 270q and its cost function is given by C(q) = 560 + 12q, where q is hundreds of units sold/ produced, while R(q) and C(q) are in total dollars of revenue and cost, respectively. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer ) MP(q) B) How many items (in hundreds) need to be sold to maximize profits? Answer: hundred units must be sold. (Round to two decimal places.)