(40 pt.) a monopolist has a quadratic cost function c(q) = q2 + 12. the market demand is given by q(p) = 24 − p. a. (5 pt.) find inverse demand function p(q) and revenue function r(q). b. (5 pt.) write down the profit maximization problem of this monopolist. c. (10 pt.) determine the monopolist’s choice qm that maximizes profit by investigating the first- and second-order conditions. d. (10 pt.) find the price p m the monopolist would set up and calculate the profit at the monopoly outcome. e. (10 pt.) find market outcome (qc , p c ) in which the monopolist behaves as if in a competitive market, and calculate the profit at this outcome.

1  2  3  4  5  6  7  8  9  10time remaining59: 30in  the dark game, how does the author develop the central idea that elizabeth van lew was a spymaster during the civil war? 1 2 3 4 5 6 7 8 9 10time remaining59: 30in the dark game, how does the author develop the central idea that elizabeth van lew was a spymaster during the civil war?

Yowell company granted a sales discount of $360 to a customer when it collected the amount due on account. yowell uses the perpetual inventory system. which of the following answers reflects the effects on the financial statements of only the discount? assets = liab. + equity rev. − exp. = net inc. cash flow a. (360 ) = na + (360 ) (360 ) − na = (360 ) (360 ) oa b. na = (360 ) + 360 360 − na = 360 na c. (360 ) = na + (360 ) (360 ) − na = (360 ) na d. na = (360 ) + 360 360 − na = 360 na

Table 1. shows the expected demand for the dvd at different suggested donation levels, and they can act as a single-price monopolist if they choose to. thereceipts will be used to fund gstcg supplies for their data collection and conservation work. at the end of each sea turtle nesting season, any excess funds are donated by the gstcg to a local non-profit sea turtle research and rehabilitation facility. table 1 suggested anticipated total marginal profit donation per number of dvd revenue revenue dvd request requests $19.00 0 $15.00 2 $9.50 4 $7.75 10 $3.00 15 $0.00 20 a. complete table 1 by computing the total revenue, marginal revenue, and profit columns. b. the president wants the gstcg to provide videos to generate the most possible donations (total revenue). what price, if any, is the president of the gstcg favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. c. the education outreach committee wants the gstcg to provide videos to the highest possible number of people. what price, if any, is the educational outreach committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. d. the treasurer of the gstcg wants the dvd program to be as efficient as possible so that the marginal revenue equals marginal cost. what price, if any, is the treasurer favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. e. the fundraising committee wants the dvd program to generate as much profit in donations as possible. what price, if any, is the fundraising committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer.