Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs is R(x) = 0.006x³ +0.02x² +0.6x. Currently, Pierce sells 90 lawn chairs daily. a) What is the current daily revenue? b) How much would revenue increase if 95 lawn chairs were sold each day? c) What is the marginal revenue when 90 lawn chairs are sold daily? d) Use the answer from part (c) to estimate R(91), R(92), and R(93). (…) a) The current revenue is $ b) The revenue would increase by $. (Round to the nearest cent.) c) The marginal revenue is $when 90 lawn chairs are sold daily. d) R(91) ≈ $ R(92) $ R(93) $

Suppose a firm engaged in the illegal copying of DVD’s has a daily short run total cost function given by: STC = (q^2)+25 If pirated DVD’s sell for $20, how many will the firm copy each day? What will its profits be? What is the firm’s short run producer surplus at P=20? Develop a general expression for this firm’s producer surplus as a function of the price of pirated DVD’s.

Suppose the Sunglasses Hut Company has a profit function given by P(q) - 0.01q² + 5q - 40, = where q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in thousands of dollars, from selling and producing a pairs of sunglasses. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) Answer: MP(q) = B) How many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, round your answer to three decimal places.) Answer: thousand pairs of sunglasses need to be sold. C) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer to three decimal places.) Answer: thousand dollars of maximum profits can be expected.

Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh                 Q1 = 12 – P1 Sri Lanka                    Q2 =   8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) (i)  Company is effectively able to price discriminate in the two markets. What will be the total profits? (ii)  Suppose the company does not engage in price discrimination. By charging the same price in the two markets what are the profit maximizing levels of price, output, and the  total profits? (iii) Analyze, with graphs, the two alternative pricing strategies available to the company.