An industry has a demand function of QD(p) = 500 – 250p. Suppose now that each firm has a constant marginal cost equal to 1. a. If there are n identical firms, what would be the profit of each under Cournot competition? p. What would be the profit of each if they collude? c. If the firms face that demand function each period, what discount factor is required to support collusion? d. What happens to the required discount factor as n grows? |
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- Two firms facing a demand curve are P = 50 -5Qwhere Q = Q1 + Q2. The cost functions of the two firms are:C1(Q1) = 20 + 10Q1C2(C2) = 10 + 12Q2Based on this information:a. Suppose both companies have entered the industry, then what is the price?and the profit-maximizing amount for the two firms under conditionsperfectly competitive market?b. What is the quantity, price and profit of the two firms ifcompanies collude in pricing?c. What are the quantities, prices, and profits of the two firms if theydo the Cournot strategy, and draw the reaction curves of the twothe company?d. What are the quantity, price, and profit of the two firms if theycarry out the stakeberg strategy.A homogeneous products duopoly faces a market demand function given byP = 300 − 3Q, where Q = Q1 +Q2. Both firms have constant marginal cost MC =100.a) What is Firm 1’s profit-maximizing quantity, given that Firm 2 produces an output of 50 unitsper year?If there are two firms Atlas and Bowden in this market with the total cost function TC = 500 + 10Q^2 and they engage in Cournot competition, what is each firm's equilibrium quantity, price, and profit? [NB: round quantities to nearest integer to find equilibrium quantity, price, and profit]
- only typed answer The inverse demand for a homogeneous-product Stackelberg duopoly is P = 26,000 −4Q. The cost structures for the leader and the follower, respectively, are CL(QL) = 2,000QL and CF (QF) = 4,000QF. a. What is the follower’s reaction function? QF = − QL b. Determine the equilibrium output level for both the leader and the follower. Leader output: Follower output: c. Determine the equilibrium market price. $ d. Determine the profits of the leader and the follower. Leader profits: $ Follower profits: $A10 Consider an industry with 2 firms, each firm with marginal costs equal to 0. Market demand curve is given by Q=60- P. With 2 firms, we can write Q=Q1+ Q2 . Suppose that each firm behaves as a “Cournot” competitor, that is, choose the optimal quantity maximizing the profits in a strategic way.(a) What would be the values of Q1, and Q2 in equilibrium? (b) Suppose firm 1 can “commit” its level of output in advance. In other words, if firm 1 announces to produce Q1, firm 2 needs to decide how much to produce assuming that firm 1 would indeed produce Q1. What’s the level of Q1 firm 1 would choose to maximize its profit?Two firms engage in Cournot competition in the Everlasting Gobstopper industry. The price elasticity of demand is-2. Firm 1 has aconstant marginal cost of $110.00 per unit, and firm 2 has a constant marginal cost of $181.50 per unit. If the two firms are currently inequilibrium, what is firm 2's share of the market? Enter your answer as a decimal, rounded to two places if necessary.______ Please show all steps
- Two firms, A and B, face an inverse market demand function of P = 1200 - 4Q. Each firm has the same cost function Ci = 20qi. Assume the A and B are Stackelberg competitors, and that A is the leader. Derive from profit functions the equilibrium prices, quantities, and profits for A and B. How does the methodology for solving the Stackelberg problem differ from the method for solving the Cournot problem? Why?Please solve all the parts and only typed answer The inverse demand for a homogeneous-product Stackelberg duopoly is P = 16,000 – 4Q. The cost structures for the leader and the follower, respectively, are CL(QL) = 4,000QL and CF (QF) = 6,000QF. What is the follower’s reaction function? Determine the equilibrium output level for both the leader and the follower. Leader output: Follower output: Determine the equilibrium market price. Determine the profits of the leader and the follower. Leader profits: Follower profits:Suppose that Raleigh and Dawes are the only sellers of bicycles in the UK. The inverse market demand function for bicycles is ?(?)=200−2?. Both firms have the same total cost function: ??(?)=12? and the same marginal cost: ??(?)=12.Suppose this market is a Stackelberg oligopoly and Raleigh is the first mover.a) Write down a formula for the reaction function of Dawes.b) Calculate the equilibrium quantity that each firm produces and the equilibrium price in the market.c) At the Stackelberg equilibrium, how much profit does each firm make?Suppose now that the two firms decide to act like a single monopolist.a) What will the total quantity of bicycles sold in the market be and what will the equilibrium price be? Represent the profit maximisation problem on a graph and indicate the price and quantity at the equilibrium.b) Calculate the total profit made by the two firms when they act like a monopoly. Compare it with the total profit they were making in the Stackelberg oligopoly.c) For the…
- Oligopolies: a) Based on the information in the table, what is the demand function for this market? b) Calculate total and marginal revenues for this market in the table c) if the total cost function for this market is TC = 500 + 10Q2 , calculate the total and marginal costs for each of the quantities in the table d) What are the profit-maximizing quantity, price, and profit for this market? e) If there are two firms Atlas and Bowden in this market with the same earlier total cost function and they engage in Cournot competition, what is each firm's equilibrium quantity, price, and profit? [NB: round quantities to nearest integer to find equilibrium quantity, price, and profit] f) Is this a long run equilibrium? Why or why not?1. Two firms compete in a market to sell a homogeneous product with inversedemand function P = 960-6Q. Each firm produces at a constant marginal cost of$60 and has no fixed costs.a. Assuming perfect competition, computei. Equilibrium price and quantityii. Profits and producer surplusiii. Consumer surplus and total surplusb. Assuming Cournot duopoly, computei. Reaction functions for each firmii. Profits of each firmiii. Consumer surplusiv. Total welfare loss relative to perfect competition (if any)c. Assuming the firms collude and act as a monopolist, computei. Equilibrium price and quantityii. Total profitsiii. Consumer surplusiv. Total welfare loss relative to perfect competition (if any)d. Rank the output quantities, profits, and total welfare by the three marketstructures aboveThe market demand curve faced by Cournot duopolistsis: Qd = 400 - 8P where Qd is the market quantity demanded and P is the commodity's price in dollars. a. Firm A has a constant marignal cost of $10. What is the equation for Firm A's reaction function with qa expressed as a function of qb? b. Firm B has a constant marginal cost of $7.50. What is the equation for Firm B's reaction function with qb expressed as a function of qa? c. What quantity of output will each firm produce in equilibrium? What price will be established for the commodity?