3) Suppose the duopolists producing homogeneous products face the following market demand curve P=80-Q where Q=Q₁ +Q₂ TC₁ = 60, and TC₂ = 80₁ i) Suppose the duopolists compete by simultaneously choosing output, what price will each firm choose? How much will each firm produce? And how much profit will each firm make? ii) Suppose the firms now move sequentially with firm 1 moving first, what price will each firm choose? How much will each firm produce? And how much profit will each firm make?

3) Suppose the duopolists producing homogeneous products face the following market demand curve P=80-Q where Q=Q₁ +Q₂ TC₁ = 60, and TC₂ = 80₁ i) Suppose the duopolists compete by simultaneously choosing output, what price will each firm choose? How much will each firm produce? And how much profit will each firm make? ii) Suppose the firms now move sequentially with firm 1 moving first, what price will each firm choose? How much will each firm produce? And how much profit will each firm make?

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

See similar textbooks

Similar questions

QUESTION THREE The market demand faced by duopolists is given by P=100-0.4Q and their respective cost functions are C1=5Q1,and C2=0.1Q22 where, Q1 and Q2 are quantities produced and supplied by duopolists 1 and 2 respectively so that Q= Q1+Q2 Derive the reaction equations Calculate quantity of the leader duopolist, Firm 1 Calculate quantity of the follower
Market demand for widgets is p = 160 - 2Q. Whether there is just one firm selling widgets or many firms selling widgets, the marginal cost and average cost is 100.Assume there are two firms selling widgets acting as Stackelberg duopolists, with Firm 1 moving first and Firm 2 following. Further assume that Firm 1's marginal profit function at its maximum is Mπ(q1) = 75 - q1, where q1 is the amount of widgets sold by Firm 1. What is the quantity sold for each firm?Options are:Firm 1 sells 0 Firms 2 sells 80Firm 1 sells 25 firm 2 sells 64.5Firm 1 sells 15, Firm 2 sells 30Firm 1 sells 7.5 Firm 2 sells 15From question 12 (Stackelberg duopolists), what is the price of widgets?Options are:1501158565
Consider two firms, i = 1; 2, producing differentiated products and engaged in Cournot a. Given the market demands, what are the best-response functions of the two firms? b. Draw the best-response functions both for complements (d 0). c. Compute the Cournot equilibrium quantities and prices in this market. d. Compare the outcome between substitutes and complements goods. e. What are the profit-maximizing quantities and prices if firm i is a monopolist in this market? Compare with part c.
A monopolist can produce at a constant average and marginal cost of ATC = MC = $5. It faces a market demand curve given by Q = 53 - P. Suppose there are N firms in the industry, all with the same constant MC = $5. Find the Cournot equilibrium. How much will each firm produce, what will be the market price, and how much profit will each firm earn? Also show that as N becomes large, the market price approaches the price that would prevail under perfect competition. (Hint: your answers will be functions of N)(BONUS)
Gamma and Zeta are the only two widget manufacturers in the world. Each firm has a cost function given by: C(q) = 10+20q + q^2, where q is number of widgets produced. The market demand for widgets is represented by the inverse demand equation: P = 200 - 2Q where Q = q1 + q2 is total output. Suppose that each firm maximizes its profits taking its rival's output as given (i.e. the firms behave as Cournot oligopolists). a) What will be the equilibrium quantity selected by each firm? What is the market price? What is the profit level for each firm? Equilibrium quantity for each firm__ price__ profit__ b) It occurs to the managers of Gamma and Zeta that they could do a lot better by colluding. If the two firms were to collude in a symmetric equilibrium, what would be the profit-maximizing choice of output for each firm? What is the industry price? What is the profit for each firm in this case? Equilibrium quantity for each firm__ price__ profit__ c) What minimum discount factor is required…
Additional Problem 3: Assume two companies (C and D) are Cournot duopolists that produce identical products. Demand for the products is given by the following linear demand function: ? = 600 − ?C − ?D where ?C and ?D are the quantities sold by the respective firms and P is the price. Total cost functions for the two companies are ??C= 25,000 +100?C 2 ??D = 20,000 + 125?D c. Determine the equilibrium price and quantities sold by each firm. d.Determine the profits for the market as well as eachfirm.
4. Consider a homogeneous good duopoly with linear demand P(Q) = 12-Q, where Q is the total industry output, and constant marginal costs c=3. a. Suppose that firms simultaneously set quantities. Determine the equilibrium price, quantities, profits, and welfare.b. The firms consider merging although their production costs are not affected. Determine the solution to this problem. Is such a merger profitable? What are the welfare effects of this merger?c. Consider the possibility of firm entry after the merger (the entrant produces at marginal costs c=3 and has entry cost F). Suppose first that the merger is not efficiency-enhancing. Analyze such a market and comment on your result (depending on the entry cost F).
Assume that the market demand and the costs of the duopolists are: P=120-0.4(QA + QB) TCA=5QA TCB= 0.2Q2B Also assume that firm B is the sophisticated leader, Determine: a. The reaction curve of A ,the reaction curve of B and the profit function of A b. Stackelberg equilibrium output level for firm A and Stackelberg equilibrium output level for firm B c. The market price
Suppose that two duopolists (firm A and Firm B) produce identical products. The firms face the following market demand curve P=1250-Q Where Q = Total output in the duopoly market Qa= Firm A’s output Qb = Firm B’s output P = Price in the duopoly market Firm A and Firm B make output decisions sequentially. Firm A is the leading firm that makes the first move, and firm B is the following firm. Firm A rationally anticipates the output reaction of Firm B, as Firm A has the prior knowledge of Firm B’s output-reaction curve, which is Qb = 600-0.5Qa It is assumed that firm B always acts in the same manner. Both firms have constant marginal costs (MC) of production where MCa=MCb=$50. Fixed Costs are nil because expenses have already been fully amortised In this duopoly market, equilibrium level of output is __________, and equilibrium level of price is ___________
Suppose that the market demand for mountain spring water is given as follows: P = 1200 - Q Mountain spring water can be produced at no cost. Determine the level of output produced and price charged by each firm in a Cournot duopoly. A monopolist faces a demand with constant elasticity of -2.0.It has a constant marginal cost of R20 per unit and sets a price to maximise its profit. If marginal cost should increase by 25 percent, would the price charged also rise by 25 percent? Provide a brief explanation.
Albert and Johny are the only sellers of Motorbikes in Ireland. The inverse market demand function for motorbikes is P(Y)= 200- 2Y . Both firms have the same total cost function: T(C)= 12Y and the same marginal cost: M(C)=12. Suppose now that the two firms decide to act like a single monopolist. What will the total quantity of Motorbikes 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. 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. For the two firms to be willing to agree to act as a monopoly, how should they split the quantity to produce between them? We assume that if they do not agree to act like a monopoly, then the market structure is the Stackelberg oligopoly studied above. We further assume that no money transfer is possible between the two…
Suppose that firms’ marginal and average costs are constant and equal to c and that inverse market demand is given by P = a – bQ, where a, b > 0 (a) Calculate the profit-maximizing quantity-price combination and for a monopolist. (b) Calculate the Nash equilibrium quantities for Cournot duopolists, which choose quantities and for their identical products simultaneously. Also compute market output and market price. (c) Calculate the perfectly competitive equilibrium price and market output. (d) Suppose now that there are n identical firms in a Cournot model (oligopoly). Compute the Nash equilibrium quantities as functions of n. Also compute market output and market price. (e) Verify (i) that the monopoly outcome from part (a) can be reproduced in part (d) by setting n = 1; (ii) that the duopoly outcome from part (b) can be reproduced in part (d) by setting n = 2; (iii) that letting n approach infinity yields the same market price and output as…