Please answer the attached question below. It is part of Industrial Economics. •Show analytically that equilibrium price under Cournot is greater thanprice under perfect competition but lower than monopoly price.• Consider a duopoly for a homogenous product with demand Q = 10 -p/2. Each firm's cost function is given by C = 10 + q(q + 1). Determinethe values of the Cournot equilibrium.

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Answered: • Show analytically that equilibrium…

Micro Economics For Today

10th Edition

ISBN:9781337613064

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter10: Monopolistic Competition And Oligoply

Section: Chapter Questions

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Two Cournot competitors face inverse demand p = 50-Q, where Q = 9₁ +92 is the total output of firms 1 and 2. Both firms have marginal cost of 2. What are the equilibrium output levels q₁ and 92? 16 and 16 25 and 25 20 and 9 36 and 3
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Suppose that the market demand for facial mud packs are given as follows: P = 2.200 - Q. Mud packs can be produced at no cost. Determine the level of output that would be produced by each firm in a cournot duopoly in the long run. Calculate th price charged for mud packs. Show all calculations.
Show analytically that equilibrium price under Cournot is greater than price under perfect competition but lower than monopoly price. Consider a duopoly for a homogenous product with demand Q = 10 - p/2. Each firm's cost function is given by C = 10 + q(q + 1). Determine the values of the Cournot equilibrium.
a) Suppose that the two firms engage in Cournot competition. Find the equilibrium price PNE in the industry, the equilibrium outputs QANE and QBNE, as well as the profits πANE and πBNE, for each firm. b) Suppose the marginal cost for firm B increases from $20 to $140, while everything else remains unchanged. Find the new equilibrium price PNE in the industry, the new equilibrium outputs QANE and QBNE, as well as the new profits πANE and πBNE for each firm. c) Suppose that, in addition to the marginal cost increase from $20 to $140 from sub question b), firm B also has a fixed cost of $2500, out of which $2100 may be recouped if it shuts down; everything else remains unchanged. In this case, what will firm B’s optimal output be? (Justify your answer.) What will firm A’s profit be?
Q3. There are two firms selling differentiated products. Firm A faces the following demand for his product: e, = 20 – -P, + -P, 2. Firm B faces the following demand: 1 P. +-P, 2. 0, = 220- Assume that the marginal cost is zero both for firm A and firm B. What are the equilibrium prices of a simultaneous price competition? What would the equilibrium prices be if A is the leader and B is the follower?
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SUB-SECTION B2 13 Electra and Luminux are the only two firms who provide electricity in a local market as a Cournot duopoly. The electricity provided by the two firms is identical and consumers are indifferent about which firm they will purchase electricity from. The market inverse demand for electricity is P = 100 - 2Q, where is the aggregate quantity of electricity produced by the two firms, qe qL. Electra has a marginal cost of 12, while Luminux has a marginal cost of 20. Assume that neither firm has any fixed costs. (a) Determine each firm's reaction curve and graph it. How much electricity will each firm produce in a Cournot equilib- rium? (c) What will the market price for electricity be? How much profit does each firm make? (e) Suppose now that the two firms move sequentially with one of them acting as a Stackelberg leader. Do you expect the outcome to the closer to perfect competition when Electra, or when Luminux, moves first? Explain your answer.
Consider a homogenous product duopoly in which the two firms, 1 and 2, compete by choosing their respective quantities, Q1 and Q2. Market demand is given by Q=20−P, where P is the market price and Q= Q1+Q2. Firm 2’s total costs are given by TC2 = 2Q2 , while firm 1’s total costs areTC1= Q1^2 . (a) calculate To which firm would the ability to move first be most valuable? Explain fully. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.

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