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?None
- 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.PleaseShow 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.
- Consider the following Stackelberg duopoly. Both firms produce a homogenous good. Firm 1 chooses how much to supply first. Firm 2 chooses how much to supply after observing the quantity supplied by firm 1. The market demand is Q= 100 – 4 P. For firm i, the total cost of production is TC(q) =5q,+2. What is the optimal quantity supplied by firm 12 10 20 30 40 QUESTION 6 Consider the following Stackelberg duopoly. Both produce a homogenous good. Firm 1 chooses how much to supply first. Firm 2 chooses how much to supply after observing the quantity supplied from firm 1. The market demand is Q= 100 - 4P. For firm i, the total cost of production is TC(q) =5q,+2. What is the market clearing price? O 10 O 15 20 O 25Consider two Cournot oligopolists, firm 1 and firm 2, in a homogenous product market. The market demand is P = 100 - 3Q and each firm has a constant marginal cost MC=10. The market price of equilibrium and total quantity in the market is: Select one: O a. P* 30 and Q* = 20 O b. P* 40 and Q* = 20 ○ C. P* 40 and Q* = 30 d. P20 and Q* = 30Because this market is a monopolistically competitive market, you can tell that it is in long-run equilibrium by the fact that P = ATC at the optimal quantity for each firm. Furthermore, the quantity the firm produces in long-run equilibrium is greater than the efficient scale. True or False: This indicates that there is excess capacity in the market True False engines. Monopolistic competition may also be socially inefficient because there are too many or too few firms in the market. The presence of the externality implies that there is too much entry of new firms in the market.