Suppose the inverse demand for a duopoly is given by P = 30 – Q. Marginal cost is given by €12. The quantity that each firm will produce in the Cournot equilibrium is A. 12 B. 6 C. 3 D. 18
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Suppose the inverse
demand for a duopoly is given by P = 30 – Q. Marginal cost is given by €12.The quantity that each firm will produce in the Cournot equilibrium is
A. 12
B. 6
C. 3
D. 18
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- Help me pleaseAssume 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 profitProblem 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.
- 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 firmsSuppose 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.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.
- The inverse demand function in a market is given by P = 500- Q. The fırms that operate in this market have zero fixed costs, and constant marginal costs equal to MC = 2O. %3D1. Best responses in a Cournot Oligopoly Firm A and Firm B sell identical goods Total market demand for the good is: The inverse demand function is therefore 1 P(QM) = 780 -Q=780 -0.02222QM 45 QM is total market production (i.e., combined production of firm's A and B. That is: Q(P) = 35, 100- 45P 2M = A +QB As a result, the inverse demand curve for each firm is: P(QA, QB) = 780- -1/32₁-752 45 Unlike the example in class, the two firms have different costs. = 4000A TCA (QA) TCB (QB) = 260QB = 780 -0.022220A -0.02222QB a. Using the demand function and the cost functions above, what is firm A's profit function. b. Using the profit function above and assuming that firm B produces Qg, calculate what firm A's best response is to firm B’s decision to produce QB- Note: Firm A's best response should be a function of BThe 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
- 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?Based on the demand schedule, at what quantity should the firms under duopoly and collusion will agree to produce? Explain.What 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.)
