Two firms, A and B, compete as duopolists in an industry. The firms produce homogeneous goods. Each firm has a marginal cost function given by: TC(q) = 30qi + 1.5qi² The (inverse) market demand for the product can be written as: P = 300 - 3Q where total output, Q = 9A+qB ·
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If each firm acts to maximize its profits, taking its rival’s output as given (i.e., the firms
behave as Cournot oligopolists), what will be the
What is the total output, and what is the market price? What are the profits for each firm?
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- Alpha and Gamma are the only two phone handset manufacturers in the world. Each firm has a cost function given by: C(q) = cq + q?, where q is number of phones produced and c=70. The market demand for phones is represented by the inverse demand equation: P = a - bQ where Q = q1 + q2 is total output, a=250 and b=1. 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 Alpha and Gamma that they could do a lot better by colluding. If the two firms were to collude, 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 for…Suppose the inverse demand for a product produced by a single firm is given by: P = 64 – 4(Q) and this firm has a marginal cost of production of: MC = 8 1. If the firm cannot price-discriminate, what is the profit-maximizing price Number and level of output? Number 2. If the firm cannot price-discriminate, what is : -the consumer surplus Number , -the producer surplus Number -the dead-weight loss Number 3. If the firm can practice perfect price discrmination, what output level will it choose? Number -the consumer surplus Number -the producer surplus Number -the dead-weight loss Number. No hand written solution and no imageAssume that two companies (A and B) are duopolists who produce identical products. Demand for the products is given by the following linear demand function: P=200− Q A − Q B where Q A and Q B are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are TC A =1,500+55 Q A + Q A 2 TC B =1,200+20 Q B +2 Q B 2 Assume that the firms form a cartel to act as a monopolist and maximize total industry profits (sum of Firm A and Firm B profits). In such a case, Company A will produce units and sell at . Similarly, Company B will produce units and sell at . At the optimum output levels, Company A earns total profits of and Company B earns total profits of . Therefore, the total industry profits are . At the optimum output levels, the marginal cost of Company A is and the marginal cost of Company B is . The following table shows the long-run equilibrium if the firms act independently, as in the Cournot model…
- Suppose two identical firms (A and B) engage in Cournot competition. Market demand is characterized by inverse demand P(Q)=500- 20Q. The marginal cost of both firms is 10. A) Determine the profit function for firm A. (5 marks) B) The corresponding marginal revenue curves associated with inverse demand are MRA=500-40qA-20qB for firm A and MRB=500-40qB-20qA for firm B. Determine the best-response functions for firms A and B. (10 marks) C) Calculate the Cournot equilibrium price and quantities, and the profits each firm makes. (10 marks) D) If the firms colluded, would the quantity offered to the market be higher or lower? Would deadweight loss be higher or lower? How do you know? (5 marks)Only typed answer Two firms both produce leather boots. The inverse demand equation is given by P = 340 - 2Q, where P is the price of boots in USD/pair and Q is quantity of boots in million pair. The cost function is given by: C(Q) = 40Q. If the two firms are Stackelberg oligopolists), the output of the leader is equal to: 1) 60 2) 80 3) 75 4) 900There are only two driveway paving companies in a small town, Asphalt, Inc. and Blacktop Bros. The inverse demand curve for paving services is ?= 2040 ―20? where quantity is measured in pave jobs per month and price is measured in dollars per job. Assume Asphalt, Inc. has a marginal cost of $100 per driveway and Blacktop Bros. has a marginal cost of $150. Answer the following questions: Determine each firm’s reaction curve and graph it. How many paving jobs will each firm produce in Cournot equilibrium? What will the market price of a pave job be? How much profit does each firm earn?
- 1. there are two companies (company 1 and company 2) that operate in a market where both firms produce a homogenous item. The two companies sell the item in a market where the demand function is given by: Q = 22 – 0.50P. Now if Q 22 where Q = q1 + q2 is the total market output and qa is company a's output, a = 1,2. company s's cost function is: Ca (qa) = 4qa. i) Explain the two firms' Bertrand equilibrium price and quantity. To enhance your explanation, use response function diagrams. ii) Assume the two companies can now collaborate and act as a single monopoly firm. Calculate the equilibrium quantities that each firm sells, the profits that each firm makes, and the market price that each firm pays. iii) How much has deadweight loss increased as a result of the collusion between the two companies?Use the following to answer questions (1) - (14): Suppose the local market for flat glass, considered a homogeneous product, consists of two firms, A and B. The market demand is given as: Q = 40 - 2P, where Q is the market quantity and P is the price. A's total cost (TC) is: TC, = 6°q4, where q, is the quantity produced and sold by A B's total cost (TC3) is: TC, = 8q2, where qg is the quantity produced and sold by B [1] The market structure these two firms operate in is definitely not monopolistic competition. A. True В. False [2] Behaving as Cournot competitors, at the Nash equilibrium A produces a quantity closest in value to: A. 9 В. 11 C. 13 D. 15 [3] Behaving as Cournot competitors, at the Nash equilibrium the market quantity is closest in value to: A. 10 В. 13 С. 17 D. 20 [4] Behaving as Cournot competitors, at the Nash equilibrium the market price is closest in value to: A. 9 В. 11 C. 15 D. 19 [5] Behaving as Cournot competitors, at the Nash equilibrium B's profit is closest in…Assume that two companies (A and B) are duopolists who produce identical products. Demand for the products is given by the following linear demand function: P= 200-Qa-Qb where QAQA and QBQB are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are TCa=1,500+55Qa+Qa2 TCb=1,200+20Qb+2Qb2 Assume that the firms form a cartel to act as a monopolist and maximize total industry profits (sum of Firm A and Firm B profits). In such a case, Company A will produce units and sell at $ . Similarly, Company B will produce units and sell at $ . At the optimum output levels, Company A earns total profits of $ and the marginal cost of Company B earns total profits of $ . Therefore, the total industry profits are $ . At the optimum output levels, the marginal cost of Company A is $ and the marginal…
- There are two firms, Firm 1 and Firm 2. The two firms’ products are viewed as identical by most consumers. The relevant cost functions are C(Q1) = 10 + 4Q1 and C(Q2) = 12 + 16Q2, and the market demand curve for product is given by P = 50 – 4Q. Instructions: Use no decimals. Use the average cost to calculate monopoly profits. Do not round values if used to complete other calculations. Complete the following table. Q1 Q2 P Profits F1 Profits F2 Duopoly competition CollusionConsider a market with a common demand function given by Q = 100 - 2P, where Q represents quantity and P represents price. The total cost function for firms in this market is TC=1000+ 50². a) For a monopoly, calculate the profit-maximizing price, quantity, consumer surplus, producer surplus, and deadweight loss. b) Compare the monopoly equilibrium to the equilibrium in perfect competition. Calculate the price, quantity, consumer surplus, producer surplus, and deadweight loss under perfect competition. c) Use a single graph to illustrate both the monopoly and perfect competition equilibriums. 4Suppose Firm X is a dominant firm in a market where the market demand is Q = 1200 -2p. Once Firm X sets its price, those small competitors set their prices a little lower so that they can always sell up to their capacity. Assume the small firms’ combined capacity is 100 units. Further assume Firm X’s marginal cost is 50. Answer the following questions. Let Q^D be the quantity produced by the dominant firm. Write down the residual demand function faced by Firm X. (Hint: Think about how Q and Q^D are related.) Find Firm X’s profit-maximizing price.