Consider a Leader-Follower duopoly, the firms face an (inverse) demand function: Pb = 530 - 17 Qb.The marginal cost for firm 1 (The Leader) is given by mc1 = 12 Q.The marginal cost for firm 2 (The Follower) is given by mc2 = 9 Q. (Assume firm 1 has a fixed cost of $ 157 and firm 2 has a fixed cost of $ 113 .) How much DWL is created by the Leader-Follower industry structure Answer: 397.55
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Consider a Leader-Follower duopoly, the firms face an (inverse) demand function: Pb = 530 - 17 Qb.
The marginal cost for firm 1 (The Leader) is given by mc1 = 12 Q.
The marginal cost for firm 2 (The Follower) is given by mc2 = 9 Q.
(Assume firm 1 has a fixed cost of $ 157 and firm 2 has a fixed cost of $ 113 .)
How much DWL is created by the Leader-Follower industry structure Answer: 397.55
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- Consider a duopoly with a leader (called L) and a follower (called F). The market demand is given as: P=500-0.25Q, where Q=QL+QF The total cost function for the leader is given as: TCL=0.03QL The total cost function for the follower is given as: TCF=0.1QF All variables are per day, per plant. What is the profit-maximizing quantity for the leader (per day, per plant)? (Note: Round your answer to two decimal pointsSuppose a market is served by two firms (a duopoly). The market demand function given by P = 1200 - Q_{1} - Q_{2} where Q_{1} is the output produced by firm and Q_{2} is the output produced by firm 2 . Firm cost of production is given by the function C(Q_{t}) = 120Q_{t} and firm 2's cost of production is given by the function C(Q_{2}) = 120Q_{2} The average cost of firm 1 is given by A*C_{1} = 120 and the average cost of firm 2 is given by A*C_{2} = 120 Marginal profit function for firm 1: Delta pi 1 Delta Q 1 equiv1080-2Q 1 -Q 2; (d*pi_{2})/(Delta*Q_{2}) = 1080 - Q_{1} - 2Q_{2} Marginal profit function for firm 2: What will be the equilibrium profit levels earned by the Stackelberg leader firm and the Stackelberg follower firm?Two firms, App and Sam, producing a good named Smart 13 compete in a Stackelberg duopoly. The inverse demand equation is P=25-(9,+92) the total cost function for Sam (the follower) is TC2=3q2. Determine the leader's maximum profit. The total cost function for App (the leader) is TC1 =1q1, and Moving to another question will save this response. Question 6 of 22
- Suppose that Raleigh and Dawes are the only sellers of bicycles in the UK. The inverse market demand function for bicycles is P(Y)=200-2Y. Both firms have the same total cost function: TC(Y)=12Y and the same marginal cost: MC(Y)=12. Suppose this market is a Stackelberg oligopoly, and Raleigh is the first mover. Write down a formula for the reaction function of Dawes. Calculate the equilibrium quantity that each firm produces and the equilibrium price in the market. Give typing answer with explanation and conclusionMarket demand for widgets is p = 160 - 2Q. Whether there is just one firm selling widgets or many firms selling widgets, the marginal cost and average cost is 100.Assume there are two firms selling widgets acting as Stackelberg duopolists, with Firm 1 moving first and Firm 2 following. Further assume that Firm 1's marginal profit function at its maximum is Mπ(q1) = 75 - q1, where q1 is the amount of widgets sold by Firm 1. What is the quantity sold for each firm?Options are:Firm 1 sells 0 Firms 2 sells 80Firm 1 sells 25 firm 2 sells 64.5Firm 1 sells 15, Firm 2 sells 30Firm 1 sells 7.5 Firm 2 sells 15From question 12 (Stackelberg duopolists), what is the price of widgets?Options are:1501158565Two firms compete on price every year. The inverse demand function each firm faces depends on which firm has chosen the lowest price that year. The one that did captures the entire market. If, on the other hand, both prices are the same then they split the market evenly. Consumers round up prices to the nearest integer. For the firm with the lowest price p, demand is given by: q = 24-2p: Marginal costs are constant and equal to $4 for both firms. a. Define the Normal form of the stage game and determine the Nash Equilibria, the Cooperative Equilibrium and the Optimal Deviation from cooperation. b. For the once repeated (2 stages) game, determine if a Nash Equilibrium exists that improves on simply playing the (better) Nash Equilibrium of the stage game twice c. For the infinitely repeated game, determine what the interest rate would have to be to prevent the firms from cooperating. d*. Determine the relation between the interest rate and the number of punishment periods in a…
- Gamma and Zeta are the only two widget manufacturers in the world. Each firm has a cost function given by: C(q) = 10+20q + q^2, where q is number of widgets produced. The market demand for widgets is represented by the inverse demand equation: P = 200 - 2Q where Q = q1 + q2 is total output. Suppose that each firm maximizes its profits taking its rival's output as given (i.e. the firms behave as Cournot oligopolists). a) What will be the equilibrium quantity selected by each firm? What is the market price? What is the profit level for each firm? Equilibrium quantity for each firm__ price__ profit__ b) It occurs to the managers of Gamma and Zeta that they could do a lot better by colluding. If the two firms were to collude in a symmetric equilibrium, what would be the profit-maximizing choice of output for each firm? What is the industry price? What is the profit for each firm in this case? Equilibrium quantity for each firm__ price__ profit__ c) What minimum discount factor is required…Suppose you're the manager of Babylon Jazz Bar. And, your bar has both young and adult customers. The demand for a typical adult customer is Q4 = 18– 3P and, for a typical young customers is Q' = 10 – 2P, where Q shows number of drinks and P shows price per drink. The marginal cost of a drink is 2-TL. And, you want to determine an entrance fee & a price per drink that maximize Babylon's profit. a. What will be the fees (entrance & per drink) for adult customers, and number of drinks? b. What will be the fees for young customers, and number of drinks? c. What is the profit of Babylon if there are 100 customers in each group?Consider two price-setting oligopolies supplying consumers in a certain region of a country. Firm 1 employs many of the people living there and the local government subsidizes its operations. In all other respects, the firms are identical-they have the same constant marginal cost, MC = 4, and produce the same good. The demand function for Firm 1 is q1 = 600 - 50p1 - 20p2 and for Firm 2 is q2 = 600 - 50p2 - 20p1, where p1 is Firm 1's price and p2 is Firm 2's price. a. What are the Nash-Bertrand equilibrium prices and quantities without the subsidy? b. What are they if Firm 1 receives a per-unit subsidy of S = 1? Compare the two equilibria.
- Consider the following Cournot duopoly. Both firms produce a homogenous good. The demand function is Q = 100 -2P, where Q is the total quantity produced. Firm 1's cost function is TC(q,)=59, + 1. Firm 2's marginal cost of production is c =6 with probability 0.5 and c5 =3 with probability 0.5. Firm 2 knows its own cost function and firm 1's cost function. Firm 1 knows its own cost function and the probability distribution of firm 2's marginal cost. How much does firm 2 produce in a Bayesian Nash Equilibrium? O 175/6 if the marginal cost is high and 193/6 if the marginal cost is low O 86/3 if the marginal cost is high and 98/6 if the marginal cost is low O 92/3 98/6Ugly Dolls Inc. (UD) is a firm in Mytown that sells its products on a market under monopolistic competition. The cost function of UD is represented by TC = 100+10Q. Lately, because of the UD is making a big amount of profit, some firms enter the market to compete. Assume that Mytown engages in free trade in the dolls markets with Yourtown, who also faces a market with monopolistic competition. Because of this we can expect that, (a) The numbers of firms operating in this market will not change. (b) At equilibrium the profit of firms will increase. (c) The quantity of types of dolls available to consumers will increase. (d) All the above answers are correct.The inverse demand curve for a Stackelberg duopoly is P = 10,000 - 6Q. The leader's cost structure is CL(QL) = 15QL. The follower's cost structure is CF(QF) = 25QF. 1.1. Determine the reaction function for the follower. 1.2. Determine the equilibrium output levels for both the leader and the follower. 1.3. What are the profits for the leader? For the follower?