to be: Consider a duopoly in which the two firms produce differentiated products and the inverse demand for each firm is estimated Firm 1: p₁ (91-92) = 3805-9₁ -0.592 Firm 2: P2 (92,91) =2570-92 -0.59₁. Firm 1 has constant marginal costs of $15 per unit while Firm 2 has constant marginal costs of $30 per unit. Fixed costs are negligble for both firms. Solve for the Nash-Stackelberg equilibrium, assuming Firm 1 is the Stackelberg leader. 9₁ = 1802.86 units. (Enter your answer rounded to two decimal places.) 92= 819.29 units. (Enter your answer rounded to two decimal places.)

to be: Consider a duopoly in which the two firms produce differentiated products and the inverse demand for each firm is estimated Firm 1: p₁ (91-92) = 3805-9₁ -0.592 Firm 2: P2 (92,91) =2570-92 -0.59₁. Firm 1 has constant marginal costs of $15 per unit while Firm 2 has constant marginal costs of $30 per unit. Fixed costs are negligble for both firms. Solve for the Nash-Stackelberg equilibrium, assuming Firm 1 is the Stackelberg leader. 9₁ = 1802.86 units. (Enter your answer rounded to two decimal places.) 92= 819.29 units. (Enter your answer rounded to two decimal places.)

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 2E

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q18 Consider a Cournot duopoly with the following inverse demand function: P = 600 − 6Q1 − 6Q2 . The firms' marginal costs are identical and are given by MCi(Qi) = 3Qi. Based on this information, firm 1 and 2's marginal revenue functions are a. MR1(Q1,Q2) = 600 − 12Q1 − 6Q2 and MR2(Q1,Q2) = 600 − 6Q1 − 12Q2. b. MR1(Q1,Q2) = 600 − 6Q1 − 12Q2 and MR2(Q1,Q2) = 600 − 12Q1 − 6Q2. c. MR1(Q1,Q2) = 600 − 12Q1 − 12Q2 and MR2(Q1,Q2) = 600 − 12Q1 − 12Q2 d. MR1(Q1,Q2) = 300 − 12Q1 and MR2(Q1,Q2) = 300 − 12Q2.
The figure below shows the market conditions facing two firms, Brooks, Inc., and Spring, Inc., in the domestic market for large utility pumps. Each firm has constant long-run costs, so that MC0 = AC0. As competitors in a duopoly, there are a number of models to determine output and prices. Assume that the Bertrand duopoly model applies, so that they both set price equal to their marginal cost. Initial output in this market will be 16,000 per year (this is split between the two firms), at a price of $300. (a) At the initial equilibrium, what is total surplus (consumer surplus plus producer surplus)? Suppose that Brooks, Inc. and Spring, Inc. form a joint venture, River Company, whose utility pumps replace the output sold by the parent companies in the domestic market. Assuming that River Company operates as a monopolist and that its costs equal MC0 = AC0, what is: (b) The price? (c) The output? (d) Total profit? (e) The resulting deadweight loss from River Company operating as a…
The figure below shows the market conditions facing two firms, Brooks, Inc., and Spring, Inc., in the domestic market for large utility pumps. Each firm has constant long-run costs, so that MC0 = AC0. As competitors in a duopoly, there are a number of models to determine output and prices. Assume that the Bertrand duopoly model applies, so that they both set price equal to their marginal cost. Initial output in this market will be 16,000 per year (this is split between the two firms), at a price of $300. Suppose that Brooks, Inc. and Spring, Inc. form a joint venture, River Company, whose utility pumps replace the output sold by the parent companies in the domestic market. Assuming that River Company operates as a monopolist and that its costs equal MC0 = AC0, what is: (b) The price?
The figure below shows the market conditions facing two firms, Brooks, Inc., and Spring, Inc., in the domestic market for large utility pumps. Each firm has constant long-run costs, so that MC0 = AC0. As competitors in a duopoly, there are a number of models to determine output and prices. Assume that the Bertrand duopoly model applies, so that they both set price equal to their marginal cost. Initial output in this market will be 16,000 per year (this is split between the two firms), at a price of $300. Suppose that Brooks, Inc. and Spring, Inc. form a joint venture, River Company, whose utility pumps replace the output sold by the parent companies in the domestic market. Assuming that River Company operates as a monopolist and that its costs equal MC0 = AC0, what is: (e) The resulting deadweight loss from River Company operating as a monopoly?
The figure below shows the market conditions facing two firms, Brooks, Inc., and Spring, Inc., in the domestic market for large utility pumps. Each firm has constant long-run costs, so that MC0 = AC0. As competitors in a duopoly, there are a number of models to determine output and prices. Assume that the Bertrand duopoly model applies, so that they both set price equal to their marginal cost. Initial output in this market will be 16,000 per year (this is split between the two firms), at a price of $300. Suppose that Brooks, Inc. and Spring, Inc. form a joint venture, River Company, whose utility pumps replace the output sold by the parent companies in the domestic market. Assuming that River Company operates as a monopolist and that its costs equal MC0 = AC0, what is: (c) The output? (d) Total profit?
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Consider a duopoly, i.e., an industry with only two firms: firm A and firm B, making the same product. The industry’s inverse demand is P(Q)=320−(1/5)Q, where P is the market price and Q is the total industry output. Each firm has a marginal cost MC of $20. There are no 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 the industry, the equilibrium outputs QANE and QBNE, as well as the profits πANE and πBNE, for each firm. b) Suppose the marginal cost for firm B increases from $20 to $140, while everything else remains unchanged. Find the new equilibrium price PNE in the industry, the new equilibrium outputs QANE and QBNE, as well as the new profits πANE and πBNE for each firm. c) Suppose that, in addition to the marginal cost increase from $20 to $140 from sub question b), firm B also has a fixed cost of $2500, out of which $2100 may be recouped if it shuts down; everything else remains…
Consider a duopoly market with 2 firms. Aggregate demand in this market is given by Q = 500 – P, where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot. Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. Describe what a best-response curve is and how to find it. Derive the best-response function for each firm. What are the equilibrium quantities? What is the total quantity supplied on this market? What is the equilibrium price in this market?
Consider a duopoly market with 2 firms. Aggregate demand in this market is given by Q = 500 – P, where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot. Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. 2.Describe what a best-response curve is and how to find it. 3. Derive the best-response function for each firm. 4. What are the equilibrium quantities? 5. What is the total quantity supplied on this market? 6. What is the equilibrium price in this market?
Consider a duopoly market with 2 firms. Aggregate demand in this market is given byQ = 500 – P,where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot. a)Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB,MRB=500-QA-2QB. b)Describe what a best-response curve is and how to find it. c)Derive the best-response function for each firm. hi, can you answer part a.b,c please. If possible, please answer this question in typing as i can't read hand -written answers, thanks