C2) Consider an industry with only two firms: firm A and firm B. The industry's inverse demand isP(Q) = 400 - ¹1/Q,10where P is the market price and Q is the total industry output. Each firm has a marginal cost of $10. There areno fixed costs and no barriers to exit the market.a) Suppose that the two firms engage in Cournot competition. Find the equilibrium price PNE in theindustry, the equilibrium outputs QANE and QBNE, as well as the profits NEA and NEB for each firm.marks]b) Suppose the two firms engage in Stackelberg competition, with firm A moving first, and firm Bmoving second. Find the equilibrium price PS in the industry, the equilibrium outputs QS and QBS, aswell as the profits π and TSB for each firm.вc) For this subquestion only, suppose that firm B has a fixed cost of $200 000: What will firm B'soptimal decision be, and what will be the resulting market structure?Now assume that instead of having two firms in the market, we have a monopoly facing the inverse demandP(Q): = 400-10Q. The monopoly's marginal cost is $10.d) Find the price PM and the quantity QM that the monopoly will optimally choose. Find the monopolyprofit лM.e) Suppose that the monopoly described in (d) can first degree price discriminate. Find (calculate) theMonopoly's quantity, price, profit, the consumer surplus and the deadweight loss in this case. Draw arepresentative graph here.

has a xed cost of $200 000. What will uns optimal decision be, and what will be the resulting market structure? Now assume that instead of having two firms in the market, we have a monopoly facing the in P(Q) = 400 - 100. The monopoly's marginal cost is $10. d) Find the price PM and the quantity QM that the monopoly will optimally choose. Find profit лM. e) Suppose that the monopoly described in (d) can first degree price discriminate. Find (c Monopoly's quantity, price, profit, the consumer surplus and the deadweight loss in thi representative graph here.

has a xed cost of $200 000. What will uns optimal decision be, and what will be the resulting market structure? Now assume that instead of having two firms in the market, we have a monopoly facing the in P(Q) = 400 - 100. The monopoly's marginal cost is $10. d) Find the price PM and the quantity QM that the monopoly will optimally choose. Find profit лM. e) Suppose that the monopoly described in (d) can first degree price discriminate. Find (c Monopoly's quantity, price, profit, the consumer surplus and the deadweight loss in thi representative graph here.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter12: Price And Output Determination: Oligopoly

Section: Chapter Questions

Problem 3E

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Consider an industry with only two firms: firm A and firm B. The industry’s inverse demand is P(Q) = 400 − 1/10Q where P is the market price and Q is the total industry output. Each firm has a marginal cost of $10. There are no fixed costs and no barriers to exit the market. Suppose the two firms engage in Stackelberg competition, with firm A moving first, and firm B moving second. Find the equilibrium price in the industry, the equilibrium outputs, as well as the profits for each firm
Consider an industry with only two firms: firm A and firm B. The industry’s inverse demand is P(Q) = 400 − 1/10Q where P is the market price and Q is the total industry output. Each firm has a marginal cost of $10. There are no fixed costs and no barriers to exit the market. Suppose that the two firms engage in Cournot competition. Find the equilibrium price in the industry, the equilibrium outputs, as well as the profits for each firm.
Suppose that there are two firms in an industry and they face market demand y=400-0.5p where y=y1+y2 . The total cost functions of the firms are C1(y1)= 40y1 and C2(y2)= 2y22. a) Assume initially that the firms enter into Cournot competition. Calculate the equilibrium market price and each firm’s equilibrium output. That is, find y1c, y2sand pc.b) Calculate the equilibrium market price and each firm’s equilibrium output assuming that firm 2 is the Stackelberg leader and firm 1 is the follower. That is, find y1s, y2sand ps.
Consider an industry with N firms that compete by setting the quantities of an identical product simultaneously. The resulting market price is given by: p = 1000 − 4Q. The total cost function of each firm is C(qi) = 50 + 20qi . (a) Derive the output reaction of firm i to the belief that its rivals are jointly producing a total output of Q-i . Assuming that every firm produces the same quantity in equilibrium, use your answer to compute that quantity. (b) Suppose firms would enter (exit) this industry if the existing firms were making a profit (loss). Write down a mathematical equation, the solution to which would give you the equilibrium number of firms in this industry. You don’t have to solve this equation.
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Consider a market for energy drinks consisting of only one firm. The firm has a linear cost function: C(q)=4q, where q represents quantity produced by the firm. The market inverse demand function is given byr P(Q)=24-2Q, where Q represents total industry output. Based on the given information answer the following. a. Now suppose a second firm enters the market. The second firm has an identical cost function. What will be the Cournot equilibrium output for each firm? b. Whay is the Stackelberg equilibrium output for each firm of firm 2 enters second? How much profit will each firm make in yhe Cournot game? How much in Stackelberg? c. Which type of market do consumers prefer: monopoly, Cournot duopoly or Stackelberg duopoly?
Brand X is one of many firms in a competitive industry where each firm has a constant marginal cost of 2 dollars per unit of output. If marginal cost for Brand X rises to 4 dollars per unit and marginal costs of all other firms in the industry stay constant, by how much does the price in the industry increase? a. 2 dollars b. 1 dollar c. 0 dollar d. 2/n, where n is the number of firms in the industry e. None of the above.
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Need answer for part b only Zeus and Iron are the only two cement producers in Gotham. The cement they produce is essentially identical. In this market, each firm chooses the output level to produce and the price is determined by aggregate output (Cournot competition). The inverse demand for cement is given by P = 225 − Q/2 . Q is measured in tons and P is in euros. The marginal cost for Zeus is constant at 50 euros/ton. The respective cost for Iron is constant at 40 euros/ton. A technological innovation in the production process allows both firms to reduce marginal cost by 5 euros/ton. a) How much would each firm be willing to pay for the innovation, if it were the only firm to acquire it? b) Consider a situation where firms’ managers, simultaneously and non-cooperatively decide whether to acquire the innovation or not, which costs 900 euros, and then compete in quantities. What is the equilibrium of this game, based on its payoff matrix?
Suppose that Raleigh and Dawes are the only sellers of bicycles in the UK. The inverse market demand function for bicycles is ?(?)=200−2?. Both firms have the same total cost function: ??(?)=12? and the same marginal cost: ??(?)=12.Suppose this market is a Stackelberg oligopoly and Raleigh is the first mover.a) Write down a formula for the reaction function of Dawes.b) Calculate the equilibrium quantity that each firm produces and the equilibrium price in the market.c) At the Stackelberg equilibrium, how much profit does each firm make?Suppose now that the two firms decide to act like a single monopolist.a) What will the total quantity of bicycles sold in the market be and what will the equilibrium price be? Represent the profit maximisation problem on a graph and indicate the price and quantity at the equilibrium.b) Calculate the total profit made by the two firms when they act like a monopoly. Compare it with the total profit they were making in the Stackelberg oligopoly.c) For the…
Suppose the market demand for ECO textbooks at the University is given by ?=1000−2?Q=1000−2P. The Marginal Cost of a textbook is $50. Suppose there are only two textbook publishers, both printing the exact same textbook. They compete in a Cournot manner. Suppose each firm produces ?=450q=450. Is this an equilibrium? Explain your reasoning, show all the steps of your working clearly. Keep your responses short and precise. Under 250 words is a good rule of thumb.
PROBLEM (5) (In a market with demand Q = 780 - p, there are 3 identical firms, A, B and C; each with a total cost function TC(Q) = 3(Q)^2. Calculate the market price under each of the 2 scenarios below, (i) B and C jointly form the fringe supply and A is the dominant firm in the dominant firm model. ( ii) They act as perfectly competitive firms -as if trying to maximize total surplus and minimize DWL- that is, their joint MC serves as the “market supply” for the competitive market. Please answer all the parts!