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.
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- Please answer the attached question below. It is part of Industrial Economics.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?2
- NoneHelp me pleaseThe market demand curve for a pair of Cournot duopolists is given as P= 34 - 2Q, where Q =Qq+ Q2 The constant per unit marginal cost is 16 for each duopolist. Find the Cournot equilibrium price, total quantity, and total profits. (Round your answers to 1 decimal place (e.g., 32.1).) Equilibrium Price: 5:40 Quantity: d Profits: < Prev 10 of 10 Next 00:21 14/02/202. ere to search acer
- 5.Problem 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.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.
- 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 market demand curve for a pair of Bertrand duopolists is given as P= 34-3Q, where Q= Q1+ Q2. The constant per unit marginal cost is 16 for each duopolist. Find the Bertrand equilibrium price, total quantity, and total profits. (Round your answers to 2 decimal places (e.g.., 32.16). Enter zero wherever required.) Equilibrium Price: Quantity: Profits: Prev 1 of 10 Next 00:22 14/02/202 o search acerPlease
