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- Consider a homogeneous goods industry where two firms operate and the linear demand is given by p(y1 + y2 ) = a - b(y1 + y2 ), where p is the market price, and y1 (y2) is the output produced by firm 1 (2). There are no costs for firm 1 or firm 2. Derive the best responses (reaction curve) for firm 1 and firm 2. Explain the term best response (reaction curve). Illustrate the best responses in a diagram.if there are two firms both have the same MC= 30$. the inverse market demand P=150- (q1 +q2). what is the quantity equation for each firm and what is their profit at equilibrium?Consider a competitive industry with a market demand curve of P = 121 – Q, where P is market price and Q is the quantity demanded in the market. In the short run there are 4 firms in the industry, and each firm has a total cost function of TC = 25 + 6q + q2, where q is output of the individual firm. In the long-run market equilibrium what is the number of firms in the industry? Group of answer choices 26 15 5 110 21
- Suppose there are 1,000 hot pretzel stands operating in New York City. Each stand has the usual U-shaped average-total-cost curve. The market demand curve for pretzels slopes downward and the market for pretzels is in long-run competitive equilibrium. Draw the current equilibrium, using graphs for the entire market and for an individual pretzel stand. Now the city decides to restrict the number of pretzel-stand licenses, reducing the number of stands to only 800. What effect will this action have on the market and on an individual stand that is still operating? Use graphs to illustrate your answer. Suppose that the city decides to charge a license fee for the 800 licenses. How will this affect the number of pretzels sold by an individual stand, and the stand’s profit? The city wants to raise as much revenue as possible and also wants to ensure that 800 pretzel stands remain in the city. By how much should the city increase the license fee? Show the answer on your graph.2.- Each of two firms, firms 1 and 2, has a cost function C(q) = 1 2 q; the demand function for the firms' output is Q = 1.5-p, where Q is the total output. Firms compete in prices. That is, firms choose simultaneously what price they charge. Consumers will buy from the firm offering the lowest price. In case of tying, firms split equally the demand at the (common) price. The firm that charges the higher price sells nothing. (Bertrand model.) (a) Formally argue that there could be no equilibrium in prices other than p1 = p2 = 1 2. (b) Solve the same problem, but this time assuming that firms compete in quantities.Now, suppose that firm 1 has a capacity constraint of 1/3. That is, no matter what demand it gets, it can serve at most 1/3 units. Suppose that these units are served to the consumers who are willing to pay the most. Thus, even if it sets a price above that of firm 1, firm 2 may be able to sell some output. (c) Obtain the (residual) demand of firm 2 (as a function of its own…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…
- Compute the equilibrium prices, quantities, and profits for both firms. Consider now the first stage.2.- Each of two firms, firms 1 and 2, has a cost function C(q) = 0.5q; the demand function for the firms' output is Q = 1.5 - p, where Q is the total output. Firms compete in prices. That is, firms choose simultaneously what price they charge. Consumers will buy from the firm offering the lowest price. In case of tying, firms split equally the demand at the (common) price. The firm that charges the higher price sells nothing. (Bertrand model.) (a) Formally argue that there could be no equilibrium in prices other than p1 = p2 = 0.5 (b) Solve the same problem, but this time assuming that firms compete in quantities.Now, suppose that firm 1 has a capacity constraint of 1/3. That is, no matter what demand it gets, it can serve at most 1/3 units. Suppose that these units are served to the consumers who are willing to pay the most. Thus, even if it sets a price above that of firm 1, firm 2 may be able to sell some output. (c) Obtain the (residual) demand of firm 2 (as a function of its own…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!
- 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?Answer the given question with a proper explanation and step-by-step solution. Suppose inverse demand is given by the following: P = 40 - 0.5Q There are two firms each with the same marginal cost. Marginal Cost is 10. Under Cournot competition, what is the output for firm one? 10 20 25 30Evaluate the following: “Since a rival’s profit-maximizing price and output depend on its marginal cost and not its fixed costs, a firm cannot profitably lessen competition by implementing a strategy that raises its rival’s fixed costs.”