Assume there are two firms, firm A and B, engaged in Cournot competition. The industry demand curve is given by P = 220 - Q, where Q = QA + QB denotes industry output. Each firm faces a marginal cost of production equal to $16. In equilibrium, what will be the output level of firm A?
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Assume there are two firms, firm A and B, engaged in Cournot competition. The industry demand curve is given by P = 220 - Q, where Q = QA + QB denotes industry output. Each firm faces a marginal cost of production equal to $16. In equilibrium, what will be the output level of firm A?
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- There are only two driveway paving companies in a small town, Asphalt, Inc. and Blacktop Bros. The inverse demand curve for paving services is ?= 2040 ―20? where quantity is measured in pave jobs per month and price is measured in dollars per job. Assume Asphalt, Inc. has a marginal cost of $100 per driveway and Blacktop Bros. has a marginal cost of $150. Answer the following questions: Determine each firm’s reaction curve and graph it. How many paving jobs will each firm produce in Cournot equilibrium? What will the market price of a pave job be? How much profit does each firm earn?Consider two Stackelberg firms, Firm Alpha and Firm Omega, each with marginal costs of 50 and each facing the market inverse demand curve: P = 500 – Q. Firm Alpha moves first, Firm Omega moves second. How many MORE units does Firm Alpha produce than Firm Omega due to first mover advantage?Consider the weekly market for gyros in a popular neighborhood close to campus. Suppose this market is operating in long-run competitive equilibrium with many gyro vendors in the neighborhood, each offering basically the same gyros. Due to the structure of the market, the vendors act as price takers and each individual vendor has no market power. The following graph displays the supply (S = MC) and demand (D) curves in the weekly market for gyros. Place the black point (plus symbol) on the graph to indicate the market price and quantity that will result from competition. PRICE (Dollars per gyro) 5.0 PRICE (Dollars per gyro) 4.5 4.0 3.5 1.0 0.5 5.0 4.5 4.0 0.5 0 0 10 20 0 10 30 Now assume that one of the gyro vendors successfully petitions the neighborhood development board to obtain exclusive rights to sell gyros in the neighborhood. This firm buys up all the rest of the gyro food trucks in the area and begins to operate as a monopoly. Assume that this change does not affect demand and…
- Suppose the Boston to Philadelphia airline route is serviced by three airlines – US Airways (Firm A) and JetBlue (Firm B) and Continental (Firm C). The demand for airline travel between these two cities is Q = 150 – p. The cost function is C(Q) = 30Q. The cost function is the same for all three airlines. Assume that the three airlines are making investments in airline capacity. In other words, they are simultaneously choosing quantity. (Cournot Competition) Derive US Airways’ residual demand function given JetBlue’s output, qB, and Continental’s output, qC. What is the Marginal Revenue for US Airways? Derive US Airways reaction function Derive the market equilibrium quantity, Q*, price, p*, and Profit.Two firms (called firm 1 and firm 2) are the only sellers of a good for which the demand equation is Here, q is the total quantity of the good demanded and p is the price of the good measured in dollars. Neither firm has any fixed costs, and each firm’s marginal cost of producing a unit of goods is $2. Imagine that each firm produces some quantity of goods, and that these goods are sold to consumers at the highest price at which all of the goods can be sold. A Cournot equilibrium in this environment is a pair of outputs (q1, q2) such that, when firm 1 produces q1 units of goods and firm 2 produces q2 units of goods, neither firm can raise its profits by unilaterally changing its output. Find the Cournot equilibrium. Determine whether the price at which the goods are sold exceeds marginal cost.consider a market with inverse demand P(Q) = 10 − Q and two firms with cost curves C1(q1) = 2q1 and C2(q2) = 2q2 (that is, they have the same marginal costs and no fixed costs). They compete by choosing quantities. Suppose that Firm 1 chooses quantity first and is able to credibly commit to this choice. Then firm 2 choose its quantity after observing firm 1’s quantity. In the SPNE of this game, what is the price faced by consumers?- p = 3- p = 4- p = 5- p = 6- p = 7
- Use the orange points (square symbol) to plot the initial short-run industry supply curve when there are 10 firms in the market. (Hint: You can disregard the portion of the supply curve that corresponds to prices where there is no output since this is the industry supply curve.) Next, use the purple points (diamond symbol) to plot the short-run industry supply curve when there are 15 firms. Finally, use the green points (triangle symbol) to plot the short-run industry supply curve when there are 20 firms. PRICE (Dollars per pound) 100 90 80 70 80 50 40 30 20 10 0 0 125 250 375 500 825 750 875 1000 1125 1250 QUANTITY (Thousands of pounds) Demand Because you know that competitive firms earn Supply (10 firms) True Supply (15 firms) If there were 10 firms in this market, the short-run equilibrium price of rhodium would be $ would . Therefore, in the long run, firms would False Supply (20 firms) per pound. From the graph, you can see that this means there will be ? per pound. At that price,…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 21In competitive markets, there are many small firms with each firm unable to influence the market price. Suppose company ABX operates in the wheat market. The company produces and markets wheats at a Price = $20 per container. The firm’s total costs are given as: TC = 50 +2Q + 3Q2 Find the Firm’s marginal cost? Show your steps, including graphs. Review additional resources? Hint: See the rules for differentiation
- Consider a single country and a single good. The demand curve for this good is given by QD = 144 - 4P. Thereare two firms serving the market: Firm A and Firm B, where Firm A has a marginal cost of $20 and Firm B hasa marginal cost of $16. There are no fixed costs incurred by either firm. Assume that these firms compete in Cournot fashion. Part I. How many units of output each firm produces? Show your work. Part II. What is the equilibrium price in the market? Show your work.Part III. How much profit each firm makes? Show your work. Part IV. What is the consumer surplus? Show your work.C2) Consider an industry with only two firms: firm A and firm B. The industry's inverse demand is P(Q) = 400 - ¹1/Q, 10 where P is the market price and Q is the total industry output. Each firm has a marginal cost of $10. There are no fixed costs and no barriers to exit the market. 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 NEA and NEB for each firm. marks] b) Suppose the two firms engage in Stackelberg competition, with firm A moving first, and firm B moving second. Find the equilibrium price PS in the industry, the equilibrium outputs QS and QBS, as well as the profits π and TSB for each firm. в c) For this subquestion only, suppose that firm B has a fixed cost of $200 000: What will firm B's optimal decision be, and what will be the resulting market structure? Now assume that instead of having two firms in the market, we have a monopoly facing the inverse…PROBLEM (5) In a dominant firm market with demand Q = 30 − p, the dominant firm has MC(Q) = 2Q (that is, with TC(Q) = Q^2) and the fringe is composed of 5 identical firms, each with MC(Q) = 10Q (that is, with TC(Q) = 5Q^2). (a) Calculate the market price in the dominant firm model. Calculate the quantity produced by the fringe. (b) Now assume that the 5 fringe firms form a “union”, and act as 5 “plants” of the union firm and this union firm competes as one single firm against the dominant firm in quantities, as in Cournot competition. What is the Cournot-Nash equilibrium price and quantity in this market organization? (c) Now, the dominant firm convinces the “union” not to compete with it but instead collude (to maximize the sum of profits) to form a cartel. What is the market price and quantity? (d) Back to the problem description. If all the firms (the dominant firm and the 5 fringe firms) acted as price takers, as in the perfect competition, what would be the market equilibrium…
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