= 100 – 2Y, and the The inverse market demand curve for salmon is given by P(Y) total cost function for any firm in the industry is given by TC(y) = 4y. %3D a. Suppose that two Cournot firms operated in the market. What would be the reaction function for Firm 1 and the reaction function of Firm 2? (Notes: The marginal cost is not zero). If the firms were operating at the Cournot equilibrium point, what would the industry output and price be? b. For the Cournot case, draw the two reaction curves and indicate the equilibrium point on the graph
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- 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…There are two identical firms in an industry, 1 and 2, each with cost function , i = 1,2. The industry demand curve is P = 100 − 5X where industry output, X, is the sum of the two firms’ outputs (X1 + X2). (a) If each firm makes its output decisions on the assumption that the other will not react to its choices (the Cournot assumption), what is the equilibrium output for each firm? What is the equilibrium price? (b) Suppose that each firm takes it in turn to choose its level of output, on the assumption that the other’s output level is fixed. Would the process of adjustment be stable? (c) Suppose that firm 1 introduces a cost-saving innovation, so that its cost curve becomes C1 = 8X1. Firm 2’s cost curve and the industry demand curve are unchanged. What happens to the equilibrium quantity produced by each firm and to market price?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 conclusion
- There are two soda firms Pepsi and Coke in Bertrand completion . They face demand with the following features: If their price is the lowest Q = 40-.5P, if their price is the same they face demand of half of the market, and if their price is the higher they face demand of zero. Both firms have a marginal cost of 10. Describe each firms reaction functions and the equilibrium price and quantity for each firm. Show your work and clearly mark your answers. Request: Please provide a graph if applicable and don't provide the handwritten answer. Thank you! Your help is much appreciated!Let ci be the constant marginal and average cost for firm i (so that firms may have different marginal costs). Suppose demand is given by P=1-Q. Calculate the Nash equilibrium quantities assuming there are two firms in a Cournot market. Also compute market output, market price, firm profits, industry prof- its, consumer surplus, and total welfare. Represent the Nash equilibrium on a best-response function diagram. Show how a reduction in firm 1’s cost would change the equilibrium. Draw a representative isoprofit for firm 1.JointJuice produces a prepackaged joint support supplement for relief of joint pain with 180 tablets per bottle and operates in a perfectly competitive market. Basically, all the firms in this competitive market have technologies (production and cost conditions) that are the same as JointJuice’s. Suppose JointJuice’s total cost function is given by the following where q is JointJuice’s quantity of packages per day: C(q) = 250 + 6q + 0.1q^2 The market demand function for the output in this market is given by: Q = 1848 - 2P If there are 20 identical firms in this industry, find the market equilibrium price for the prepackaged supplements. Calculate JointJuice’s optimal output level and profits given the market price for the product. If JointJuice is typical of the firms in this industry calculate the firm’s long-run equilibrium output, price, and profit level. Suppose the situation changes. JointJuice has its plant in Portland Oregon. The local government passes a new tax on…
- Consider a market for energy drinks consisting of only one firm. The firm has a linear cost function: C(q)=4q, where q represents quantity produced by the firm. The market inverse demand function is given byr P(Q)=24-2Q, where Q represents total industry output. Based on the given information answer the following. a. Now suppose a second firm enters the market. The second firm has an identical cost function. What will be the Cournot equilibrium output for each firm? b. Whay is the Stackelberg equilibrium output for each firm of firm 2 enters second? How much profit will each firm make in yhe Cournot game? How much in Stackelberg? c. Which type of market do consumers prefer: monopoly, Cournot duopoly or Stackelberg duopoly?DuopolyMarket for mechanical pencils can be described by the following demand schedule:Price | Number of pencils demanded$6 | 80$5 | 200$4 | 320$3 | 440$2 | 560$1 | 680$0 | 800The fixed cost is $340, while the variable cost is $0.50.d) If there were two firms on the market and they agreed to cooperate, how much would eachfirm need to produce? Follow the procedure outlined in the lecture and show that the otherfirm would prefer to deviate from the agreement.e) When the firms deviate from the agreement, there is a new optimal level of output. Showwhether the firms have an incentive to deviate from that level?f) If there were two firms on the market, what would be the price and the quantity of pencilstraded if the firms couldn’t cooperate?Consider a market with two firms. Each firm is located at one end of a line with lenght one. There is a mass one of consumers. The location of each consumer is given by 0 < x < 1 which is uniformly distributed (with density 1). Firms have no cost of production and set price simultaneously. a) Derive the demand for each firm by identifying the location of the indifferent con- sumer for each price pair. Assume that all consumers know about both products. b) Write down the profit functions and calculate the Nash equilibrium prices for both firms. c) Assume that consumers only know the product if they have received and ad. Suppose that ads are not targeted and each firm reaches any consumer with probability 0.5 with her ad. Calculate the size of the different consumer segments. Determine the resulting demand and the new Nash equilibirum prices of the firms. d) Suppose that the ads are costless. When do the firms make larger profits? With fully informed consuemers b) or with imperfect…
- Consider a market with two firms. Each firm is located at one end of a line with lenght one. There is a mass one of consumers. The location of each consumer is given by 0 < x < 1 which is uniformly distributed (with density 1). Firms have no cost of production and set price simultaneously.a) Derive the demand for each firm by identifying the location of the indifferent con- sumer for each price pair. Assume that all consumers know about both products.b) Write down the profit functions and calculate the Nash equilibrium prices for both firms.c) Assume that consumers only know the product if they have received and ad. Suppose that ads are not targeted and each firm reaches any consumer with probability 0.5 with her ad. Calculate the size of the different consumer segments. Determine the resulting demand and the new Nash equilibirum prices of the firms.d) Suppose that the ads are costless. When do the firms make larger profits? With fully informed consuemers b) or with imperfect ads…There are two ma jor producers of corncob pipes in the world, both located in Herman, Missouri. Suppose that the inverse demand function for comcob pipes is described by p = 120 4q where q is total industry output and suppose that marginal costs are zero. What is the Cournot reaction function of firm 1 to the output, q2, of firm 2? (a) 120-4q22Consider a market with two firms. Call them firm 1 and firm 2. The demand function describing the market is P = 216 – 0.4Q. Firms are initially identical, with the cost function C(q) = 140 + 40q. Calculate the total profits in the market. Under what conditions, the two firms may succeed to collude? How much would each firm earn if they could collude?