Consider an industry that consists of 3 tirms facing a demand curve P = 80 - Q. All three firms have constant marginal costs and zero fixed costs. The marginal cost for firms 1 and 2 is $10, while the marginal cost for firm 3 is $20. Find the Cournot equilibrium quantities assuming that firms 2 and 3 merge. b. Calculate the equilibrium market quantity and price. Calculate the equilibrium profit for each firm,
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- Please no written by hand solution Considerthe following problem. There are five firms producing a homogenous good and competing in quantities simultaneously. The demand function for this good is given by D(p) = 100−p, where p denotes price. The marginal cost is the same for all firms and equals 40 Answer the following questions. (a) Compute the equilibrium quantities and profits of each firm. (b) Now suppose that two of these firms (say firms 1 and 2) want to merge. (The remaining firms stay unchanged.) Merging, however, is costly. To merge, each merging firm has to pay a fixed cost F. Determine the highest fixed cost F that the two firms would be willing to pay in order to proceed with the merger.Please solve D and E part only. Thankyou. Consider three firms, each with cost function C(qi)=4qi, currently competing Cournot. Market demand is P = 20 – Q. a. a. Find the quantities, price, and profits of each firm in equilibrium. b. Imagine firms1 and 2 merged to become one, so after the merger there are now two firms left in the market, firm 1&2 and firm 3. Assume there are no cost efficiencies expected and assume that the two firms play Cournot as before. Find the quantities, price, and profits of each firm in equilibrium c. Was it profitable for firms 1 and 2 to merge in the first place? d. Continuing with b., imagine that firms did not play Cournot after the merger, but rather that the merged firm 1&2 became a Stackelberg leader after the merger and firm 3 became the Stackelberg follower. If this were the case, find the quantities, price, and profits of each firm in equilibrium. e. Was it profitable for firms 1 and 2 to merge in the first place? Did price…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.
- Two firms engage in Cournot competition in the Everlasting Gobstopper industry. The price elasticity of demand is -2. Firm 1 has a constant marginal cost of $365.00 per unit, and firm 2 has a constant marginal cost of $602.25 per unit. If the two firms are currently in equilibrium, what is firm 2's share of the market? Enter your answer as a decimal, rounded to two places if necessary.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.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 two identical firms (firm 1 and firm 2) that face a linear market demand curve. Each firmhas a marginal cost of zero and the two firms together face demand: P = 50 - 0.5Q, where Q = Q1 +Q2. Find the Cournot equilibrium quantity and market price for each firm.Suppose two firms, Firm A and Firm B, are competing by setting quantities (Cournot competition). Firm A has a constant marginal cost of $10 per unit; Firm B has a constant marginal cost of $15 per unit. Assume fixed costs are equal to 0 for both firms. Hint: since fixed costs are zero and the marginal cost is constant, MC = AC. The two firms choose between producing 50 units or 100 units. If the total output is 100 units, the price is $20 per unit; if total output is 150 units, the price is $15 per unit; if total output is 200 units, the price is $10 per unit. Based on the information provided, fill in the firms’ profits in the payoff matrix below with Firm A choosing the row and Firm B choosing the column. QB=100 QB=50 QA=100 , , QA=50 , , The resulting equilibrium is for Firm A to produce ____ (50 or 100)units and Firm B to produce_____ (50 or 100) units.Consider an industry comprised of three identical firms faced with a linear cost function given by: C(qi) = cqi; for i = 1; 2; 3. Let inverse market demand be given by: P(Q) = a - bQ; where Q = q1 + q2 + q3.a. Compute the Cournot equilibrium; that is, find prices, quantities, and profits.b. Suppose that firms 1 and 2 merge, converting the market into a duopoly consisting of the “superfirm” and firm 3. Compute the new Cournot equilibrium. Once again find prices, quantities, and profits.c. Suppose that all three firms merge. Compute quantities, prices, and profits for the cartel solution.d. Suppose that firm 1 and 2 represent two members of OPEC – Saudi Arabia and Venezuela, say – while firm 3 is a non-OPEC oil exporting country – Russia, say. Describe the dynamics of OPEC. (Hint: re-interpret the solution to part 2, as 1 firm deviating from the fully cartelized solution. Is it convenient to have a partial cartel?)
- A) Suppose there are just two firms, 1 and 2, in the oil market and the inverse demand for oil is given by P = 90 – 3Q. The marginal cost for each firm is €18. Calculate the level of output that each firm would produce at the Cournot equilibrium. B) Suppose there are just two firms, 1 and 2, in the oil market and the inverse demand for oil is given by P = 60 – Q. The marginal cost for each firm is €36. What price should Firm 1 charge at the Cournot equilibrium? C) Consider the production function Q = 10KL. Will the MRTS for this production function remain constant along the Q = 200 isoquant? Explain briefly.Suppose there are just two firms, 1 and 2, in the oil market and the inverse demand for oil is given by P = 60 – Q. The marginal cost for each firm is €30. What price should Firm 2 charge at the Cournot equilibrium(Cournot competition with different marginal costs) Our best estimate for total marketdemand in a given market is P 1000-2Q. Two firms (1 and 2) are competing in this market in quantities, choosing Q1 and Q2 simultaneously. Firm 1 has marginalcost equal to c1 = 100 and Firm 2 produces at marginal cost c2 = 200. (a) Write down the profits of both firms and and their best response functions. (b) Find the Cournot - Nash equilibrium in quantities, and calculate equilibrium profits for both firms. (c) Suppose that each firm has the option, at a previous stage, to invest in an R&D project that will reduce its marginal cost of production by 50% if successful. What is the value of this innovation to each firm? Given that R&D costs and successprobabilities are equal, which one has greater incentives to invest in R&D ? You can think in terms of per - period profits to set aside timing issues.