1. Suppose that market demand is given by ? = 220 − ?/3. The two identical firms in the market both have marginal costs of 60. Draw the reaction curves on a graph and find the Cournot equilibrium price and quantities.
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1. Suppose that market demand is given by ? = 220 − ?/3. The two identical...
Suppose there is a duopoly of two identical firms, A and B, facing a market inverse demand of ?=640−2?, and cost functions of ?? =40?? and ?? =40?? respectively. Find the Cournot-Nash equilibrium and profit for each firm. Suppose that A acts as the leader in a Stackelberg model and B responds. What are the respective quantities and profits of each firm now? Is it advantageous to move first? What are the prices, quantities and profits for the firms if...
Suppose a market has two firms that sell identical products. These firms face an inverse market demand function of P=120 – Q. Firm 1 has a constant MC=20. Firm 2’s marginal cost is MC=30. Find the Cournot equilibrium price, quantities, and profits for each firm. If these firms were able to perfectly collude, what would be the monopoly equilibrium?
Suppose there are two firms, 1 and 2, competing in quantity. The market demand is p = 15-(q1 +q2), where q1 and q2 are the quantities produced by rms 1 and 2. Both rms have constant marginal cost c1 = c2 = 3. (a) [10] Find the Cournot equilibrium of this market. Compute the consumer surplus in equilibrium. b) Now suppose firms 1 and 2 merge, so that they become a monopolist with demand function p = 15 ? q,...
1. Suppose there are two potential customers in the market. One has demand function D1(p)=10-p . The other has demand function D2(p)=20-2p. The only firm in this market has constant marginal cost of 2. (1) Draw the two demand curves in a graph, with price on the vertical axis and demand on the horizontal axis. (2) (3rd-degree price discrimination) If the monopoly can identify the two consumers and charge different prices to them, what is the optimal price charged to...
1. Suppose there are two potential customers in the market. One has demand function D1(p)=10-p . The other has demand function D2(p)=20-2p. The only firm in this market has constant marginal cost of 2. (1) Draw the two demand curves in a graph, with price on the vertical axis and demand on the horizontal axis. (2) (3rd-degree price discrimination) If the monopoly can identify the two consumers and charge different prices to them, what is the optimal price charged to...
A homogeneous products duopoly faces a market demand function given by P a - Q, where QQ Q2 and a>300. Both firms have constant marginal costs MC-100. There are no fixed costs. a) What is firm 1's optimal quantity given that firm 2 produces an output of 50 units per year? And what is firm's 1 quantity if firm 2 produces 20 units? [4 marks] b) Derive the equation of each firm's reaction function and provide a graphical explanation to...
Please be descriptive. The market demand curve in a commodity chemical industry is given by Q 600 - 3P, where Q is the quantity demanded per month and P is the market price in dollars. Firms in this industry supply quantities every month, and the resulting market price occurs at the point at which the quantity demanded equals the total quantity supplied. Suppose there are two firms in this industry, Firm 1 and Firm 2. Each firm has an identical...
3. A market consists of 100 identical firms and the market demand curve is given by D(P) = 60 - P. Each firm has a short-run total cost curve STC(q)-0.1+150q2. What is the short-run equilibrium price and quantity in this market? 4. The short-run marginal cost curves of two types of firms in an industry are given as MC1 = 3q and MC2 = 5q respectively. There are 100 firms of each type. If these firms behave competitively, determine the...
Problem 1: Suppose that the market demand function is given by q-80-2p. All firms in the industry have marginal cost of 10 and no fixed cost. In this problem, the firms compete in quantities. (a) What is the equilibrium price, quantity, consumer surplus, profit (producer surplus) and deadweight loss if there is only one firm in the industry? (b) Now answer the same question if there are two firms in the industry (duopoly). How does your answer compare to the...
1. Suppose there are only two firms in the marker, firm A and firm B. They produce identical products. Firm A and firm B have the same constant marginal cost, MCA MCB ACA ACB 25 The market demand function is given by 0-400 4P. e. Calculate the profits for each firm in the Cournot model. f. g. Is the monopoly outcome stable? If firm A operates under the monopoly outcome, h. Graph the monopoly outcome, cournot outcome and perfect competition...