Assume the market demand for carbonated water be given by QD = 200 − 5P. Assuming there are two firms (A and B) producing carbonated water, each with a constant marginal cost of $ 2. a. What is the market equilibrium price and quantity when each firm behaves as a Cournot duopolist choosing quantities? What profit does each firm earn?
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1. Assume the market demand for carbonated water be given by QD = 200 − 5P. Assuming there are two firms (A and B) producing carbonated water, each with a constant marginal cost of $ 2.
a. What is the
b. What is the market equilibrium price and quantity when each firm behaves as a Bertrand duopolist choosing price? What firm profit does each firm earn now?
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- If each firm acts to maximize its profits, taking its rival’s output as given (i.e., the firmsbehave as Cournot oligopolists), what will be the equilibrium quantities selected by each firm?What is the total output, and what is the market price? What are the profits for each firm?Assume 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. Suppose now the market is served by 2 firms that choose quantities for their identical products simultaneously. Calculate: i. ii. iii. iv. The Nash equilibrium prices for Cournot duopolists Firm output Market out Firm profitWhat is the homogeneous-good duopoly Cournot equilibrium if the market demand function is Q= 1,800 - 1,000p. and each firm's marginal cost is $0.28 per unit? The Cournot-Nash equilibrium occurs where q, equals and 92 equals (Enter numenic responses using real numbers rounded to two decimai places.) Furthermore, the equilibrium occurs at a price of $ (Round your answer to the nearest penny.)
- 1. Consider two duopolists who each have a constant marginal cost c = e2 = 3 and face inverse demand P = 15 – 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. 3. Suppose that Firm 2 figures out a way to lower its marginal cost to ez = 0 while firm 1 still has a marginal cost equal to 1: c = 3. How does this affect the Cournot equilibrium quantities, price, and profits? 4. How does this affect the Stackelberg equilibrium (with Firm 1 still as the leader) quantities, price, and profits?A community's demand for monthly subscription to a streaming music service is shown by the following table. Assume that there are only two firms serving this market (Firm A and Firm B), each firm offers the same quality of service and music selection, and that each firm’s marginal cost is constant and equal to 0 (zero). (please refer to table provided) If this market were highly competitive instead of a duopoly, the quantity of streaming movie subscriptions purchased each month would be ______ If the two firms agreed to each supply one half of the quantity a monopoly would supply, the contract would specify that each firm would supply ____The market demand curve for mineral water is given by P=20 - Q. If there are two firms that produce mineral water, each with a constant marginal cost of 8 per unit, fill in the entries for each of the four duopoly models indicated in the table. (In the Stackelberg model, assume that firm 1 is the leader.) Instructions: Round your answers to 1 decimal place. Model Shared monopoly Cournot Bertrand Stackelberg 21 4.5 92 4.5 01 + 0₂ P 11 1 ग 2 π 1+ 2
- Assume 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. Suppose now the market is served by 2 firms (one leader, and one follower) that choose quantities for their identical products. Calculate: i. ii. iii. iv. The Nash equilibrium quantities for the Stackelberg duopolists Market output Market price Firm profitSuppose an industry faces the demand curve: Q= 250 - P and MC = 4a. Find the Cournot reaction functions for the two firms. What are the Cournot duopoly equilibrium price, quantity, and profits?b. What are the Bertrand duopoly equilibrium price, quantity, and profits?c. What are the Stackelberg equilibrium price, quantity, and profits?Which of the following best represents the pricing behavior of firms in an oligopolistic market? A) Stay*Put Clothespins takes the market price of clothespins as given and produces the amount of clothespins where marginal revenue equals marginal cost. B) Unykdrugs, Inc. produces where its marginal revenue is equal to its marginal cost and prices on its downward-sloping demand curve such that the market for its product clears, knowing it will not face competition due to patents it holds on its products. C) Teen Angle Hardware looks for a niche to sell its hardware products to teens but finds it difficult to earn anything more than normal profit due to other hardware stores also looking for niches. D) Looking Over Your Shoulder Handbag Co. chooses the price it charges by estimating what its rivals are most likely to do and then taking their responses into consideration.
- Assume that two firms, Wilson and Spalding, can manufacture basketballs for the entire Norfolk market, and that the market is oligopolistic in structure. Market Demand: Q-120-P Total Costs: TC-200 Q the quantity of basketballs P the price of a basketball in $ US TC the total cost of producing a given quantity of basketballs (in $ US) Show all of your work in solving the problems below. 1) The Cournot Model: Now assume that the two firms are Cournot competitors, and that all the assumptions of the Cournot model are met: no firm entry, homogeneous goods, a single period, and that the firms choose the quantities of basketballs to supply. Now, how many basketballs will be sold by each firm and at what price? What will be the total revenues, total costs, and the profits for each of the two firms? Demonstrate the model using graphs. (See Figs. 9-3 to 9-10) 2) The Stackelberg Model: Assume that the two firms are Stackelberg competitors, and that Wilson is the Stackelberg leader and Spalding…If firm 1 and firm 2 are the oligopolistic firms in bottled spring water production in Nomansland. The market demand is given by ? = 5000 −20?, Qd is the number of kilolitres demanded per month while P is the price of kilolitres of bottled water. The marginal cost of a kilolitre of bottled water is R10.How do I Find the Cournot equilibrium quantities and price? and how do I Find the Cournot profits and the monopolist profits?Bertrand duopolists face MWTP = 6 - Q and can produce any quantity without marginal and fixed cost. If the two firms compete for only 1 period, what is a Nash equilibrium price? (Assume prices must be in whole cents. Remember, do not enter the $ sign.)
