Consider a homogeneous product industry with three firms 1, 2, and 3 that engage in simultaneous quantitycompetition. All firms incur identical constant marginal cost c and no fixed cost. Inverse linear demand is given by p1-q where q denotes total market output. (a) Find the equilibrium quantities, price, and profits. (b) Consider now amerger between firms 1 and 2, resulting in a duopolistic market structure. In fact, the merger gives rise to efficiencygains in the sense that the merged entity produces at marginal cost e c, where e < 1. The outsider to the merger stillincurs marginal cost c. Find the post-merger equilibrium quantities, price, and profits. (c) Under what conditions doesthe merger reduce prices? no copy paste answers or chatgpt

Step 1:a. Given informationIn a simultaneous quantity competition, each firm chooses its quantity…

Answered: Consider a homogeneous product industry…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Consider an industry with 4 firms with the same total cost function TC(q) = 20q. The demand function is p= 260 − 2Q. (a) Solve for Cournot equilibrium: how much each firm produces in equilibrium? What is an equilibrium price and profits? (b) What will be the profit of each firm if all the firms join the cartel? (c) If one of the firms wants to deviate from the cartel agreement, what output should it set? Calculate the profit of the cheating firm.
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…
Consider a market that is a Bertrand oligopoly with 5 firms in the market. Each of these firms produce an identical product and each have the same cost function of C(Q) = 80Q. The inverse market demand for this product is P = 2480 – 2Q. What is the equilibrium market price?
The (inverse) market demand function in a homogeneous product Cournot duopoly is as follows: P = 200- 10(Q1+Q2). The total cost functions are TC- 100 + 40Q1 for firm one and TC = 80 + 60Q2 for firm two. 1. Determine the reaction function for each firm. 2. Calculate each firm's equilibrium level of output. 3. Calculate the market equilibrium price. 4. Calculate the profit each firm earns in equilibrium.
(i) They compete in quantities with each other (Cournot-Nash equilibrium) (ii) They collude as though they are all plants of the same single multi-plant monopoly. (iii) B and C act as two plants of a single multi-plant monopoly “B+C”, which competes in quantities (Cournot competition) against A.
Firm A with total cost function CA = 60qA and Firm B with total cost function CB = 80qB are the only suppliers of a product that has market demand P = 280 – Q. Under Cournot Duopoly the equilibrium price equal to
In the mobile phone market, Samsung and Apple constitute a duopoly in the production of devices.The American firm has the following demand q(a) = 10 - p(a )+ 0.25p(s), and the Korean firm, q(s) = 20 -p(s)+ 0.5p(a). Because both firms assembly their devices in China, their cost structure is the same andequal to ?(q) = 10q, answer the following questions.a) What would be the equilibrium (quantity, price, and profit) in this market, and interpret youranswer.b) If they decide to form a cartel, what are the new quantities, prices, and profits? NB.a=apple and s=Samsung
2) An industry consists of three firms with identical total cost functions C(q) = 20q+q². Market demand is Q(P) = 140 - P. a) Find the Cournot-Nash equilibrium quantity, price and profits for this industry. b) Suppose a monopolist controlled the three firms. What would its cost function be? c) What would be this monopolist's quantity, price and profits?
Calculate every step please!!!
Consider a Cournot Duopoly model. The inverse demand for their products is given byP = 200 − 6Q, where Q is the total quantity supplied in the market (that is, Q = Q1 + Q2). Each firm has an identical cost function, given byT Ci = 2Qi, for i = 1, 2.(a) In the Cournot model, what does each firm choose?(b) What is the timing of each firm’s decision?(c) Find the Nash equilibrium quantities (Q∗1, Q∗2)?(d) What is the equilibrium price? Just help with c and d here please
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If the inverse demand for bean sprouts were given by P(Y) = 430 − 2Y and the total cost of producing Y units for any firm were TC(Y) = 10Y and if the industry consisted of two Cournot duopolists, then in equilibrium each firm's production would be

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