Suppose 4 firms compete in a homogeneous-product Cournot oligopoly. If each firm's marginal cost equals $112 and market price elasticity of demand equals -2.25, the profit-maximizing, equilibrium price equals $
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- 10. Based on the available data, the market elasticity of demand for your firm's product is -2.0. The marginal cost is constant at $50 and you compete against 17 other firms in a Cournot Oligopoly The average total costs are $375. What is the optimal price per unit?Now, assume your buffalo wing firm is in a Cournot oligopoly with 3 additional firms. The market elasticity of demand for buffalo wings is -0.70. Find your firm’s elasticity of demand. Now find the profit-maximizing price for your firm if your marginal cost is $3.70.Oligopoly: Quantity Competition 1. Consider two duopolists who each have a constant marginal cost c = c2 = 2 and face inverse demand P = 4 – Q,where Q = Q1 + Q2 is the total output of both firms. 1. Find the Cournot equilibrium quantity for each firm, the resulting market price, and the profits for each firm. 2. Find the Stackelberg equilibrium quantities for each firm, and the price, and the profits for each firm supposing that Firm 1 is the industry leader.
- Question 4 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.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?Problem 1. HHI in the Bertrand Triopoly Equilibrium It's a Bertrand Triopoly - hence we know there are 3 firms in the industry-in-question, who competes in "price". The inverse demand functions for Firm 1, 2, and 3 are as follows: q1 = 40 - 1.5p1 +0.5p2 +p3 q2 = 40 + 1.5p1 - 3p2+p3 q3 = 40 + 2p1 + 1.5p2 - 4p3 For each firm, the marginal cost of production is $2.50/unit produced and sold. Apparently, the firms' products are differentiated. You cannot impose symmetry across firms. Therefore, please solve each firm's profit maximization problem, impose equilibrium, and solve for each firm's "action" in equilibrium. After that, please calculate the Herfindahl- Hirschman Index (HHI) in the industry in equilibrium.Help me please
- 6. Two firms, Firm 1 and Firm 2 and are engaged in Cournot competition. The inverse demand they are facing is given by p = 50-q, with p being the price of the good, and q being total quantity demanded, given by q = 91 +92, where 9₁ and 92 are the productions of firm 1 and 2 respectively. The total cost of firm 1 is TC1(91) = q and of firm 2 is TC₂ (92) = 292. (a) Find the Cournot equilibrium and the price that corresponds to it. (b) Find the Lerner Index of each firm.3. Two identical firms compete as a Cournot duopoly. The demand they face is P = 100 - 2Q. The cost function for each firm is C(Q) = 4Q. The equilibrium output of each firm is: a) 8 b) 16 c) 32 d) 36 How do I .solve this in detailed steps?Once more, please consider a market with eight producers that produce a total of 30,000 units. Their output is broken down below: Firm's Firm Output One 7400 Two 1800 Three 4100 Four 5200 Five 1400 Six 2800 Seven 6600 Eight 700 According to our lecture, this industry likely to be an oligopoly because is not; a small number of firms produce a large amount of the output O is; a small number of firms produce a large amount of the output O is not; production is spread out among relatively many firms is; production is spread out among relatively many firms
- Question 53: Given that a duopoly's inverse market demand curve is P = 120-Q which is shared by two firms namely Firm A and Firm B and (Q=QA +QB.) The two firms have the same cost functions where Marginal cost is 20. a. Under the Cournot equilibrium, calculate the output of each firm QA and QB and total output Q b. Under a Collusive equilibrium, calculate the output of each firm and the total output Q C. Under the Stackelberg equilibrium where Firm A has first mover advantage, calculate the output of each firm d. Calculate the market price at each equilibrium output under Cournot, collusive and Stackelberg modelsThe vertical distance between the average total cost curve and the averagevariable cost curve:(2)(1) Increases as output increases;(2) Decreases as output increases;(3) Is equal to total variable cost per unit of labour;(4) Is negative Q.1.10 Which one of the following is NOT a characteristic of an oligopoly? (2)(1) There are a few sellers and many buyers in the industry;(2) A firm in an oligopolistic market makes pricing decisions without consideringthe other firms in the market;(3) To reduce uncertainty in the market, firms may collude;(4) Barriers to entry is one of the key features of oligopoly.The vertical distance between the average total cost curve and the averagevariable cost curve:QUESTION 1A) Two cournot competitors face inverse demand P = 50 - Q. Where, Q = q1+q2, is the total output of firms 1 and 2. What are the equilibrium output levels for q1 and q2, If firm 1 marginal cost is 1, and firm 2's marginal cost is 12? QUESTION 1B. Continuing with the inverse demand, P = 50 - Q, if each firm has a marginal cost of 0, what is the difference between the equilibrium price under Cournot competition and under Bertrand competition? b. C. d. a. The Cournot price is higher than the Bertrand price by 50. The Cournot price is lower than the Bertrand price by 25. The Cournot price is higher than the Bertrand price by 50/3. Equilibrium prices under Cournot and Bertrand are the same, so the difference is zero.
