A dominant or price setting firm and several smaller price takers serve a market where total market demand is Qd = 560 – 2P and the combined supply from all the smaller firms is Qs = - 60 + 2P. State the demand (Qdf=) and inverse demand (Pdf=) function for the dominant firm (df).
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A dominant or price setting firm and several smaller price takers serve a market where total market
State the demand (Qdf=) and inverse demand (Pdf=) function for the dominant firm (df).
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- (Dominant Firm with Fringe Competition) The structure of competition in the market for product A follows the dominant firm model with competitive fringes, where there is one company that is a dominant player and there are many fringes companies that compete competitively. The total demand for product A in this market is expressed by P = 1200 - Q, while the supply function of the competitive fringe is expressed by Sf: qf = P - 240. If the dominant firm is known to have marginal costs as follows: MCd = 240 + 0.25qd b. What is the equilibrium price and the equilibrium quantity for the dominant firm? Show your answer mathematically and graphically. c. In that equilibrium, what is the supply of competitive fringes? How many total products are there on the market? What is the market share of the dominant company and the fringe company? Show your answer mathematically and graphically Thank you Bartleby!(Dominant Firm with Fringe Competition) The structure of competition in the market for product A follows the dominant firm model with competitive fringes, where there is one company that is a dominant player and there are many fringes companies that compete competitively. The total demand for product A in this market is expressed by P = 1200 - Q, while the supply function of the competitive fringe is expressed by Sf: qf = P - 240. If the dominant firm is known to have marginal costs as follows: MCd = 240 + 0.25qd a. What is the minimum price level required by the competitive fringe to offer output? At what price level will the fringe company supply the entire market? Thank you bartleby!(Dominant Firm with Fringe Competition) The structure of competition in the market for product A follows the dominant firm model with competitive fringes, where there is one company that is a dominant player and there are many fringes companies that compete competitively. The total demand for product A in this market is expressed by P = 1200 - Q, while the supply function of the competitive fringe is expressed by Sf: qf = P - 240. If the dominant firm is known to have marginal costs as follows: MCd = 240 + 0.25qd d. If the dominant company wants to limit competition from fringes, what can the dominant company do? What is the name of this strategy?
- Consider a market demand function P=100-0.01Q. There are only two firms in the market and each firm's total cost function is 40q to produce identical products. Suppose Firm 1 is the first mover (leader) and Firm 2 is the follower. What is the optimal level of quantity for Firm 2 in this Stackelberg model? 1000 1500 2000 25000 3000Two firms compete in a homogeneous product market where the inverse demand function is P = 20 − 5Q (quantity is measured in millions). Firm 1 has been in business for one year, while firm 2 just recently entered the market. Each firm has a legal obligation to pay one year’s rent of $2 million regardless of its production decision. Firm 1’s marginal cost is $2 and firm 2’s marginal cost is $10. The current market price is $15 and was set optimally last year when firm 1 was the only firm in the market. At present, each firm has a 50 percent share of the market. a. Why do you think firm 1’s marginal cost is lower than firm 2’s marginal cost? b. Determine the current profits of the two firms. c. What would happen to each firm’s current profits if firm 1 reduced its price to $10 while firm 2 continued to charge $15? d. Suppose that, by cutting its price to $10, firm 1 is able to drive firm 2 completely out of the market. After firm 2 exits the market, does firm 1 have an incentive to raise…Exercise 6.8. Two companies with cost functions C1 (q1 )=5q1 and C2 (q2)= 0.5 q2 ² supply the to the same market. If the inverse market demand function is given by P = 100 - 0,5Q , where Q = q₁ + q₂ , find a) The production level of each firm, the price and the profits if the companies compete according to the Cournot model. (b) The level of production of each undertaking, the price and the profits if the undertakings agree to jointly maximise their profits. Show the results with the help of graphs.
- As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 60 percent chance of low demand and a 40 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 400,000 −400Q and P = 900,000 −250Q, respectively. Your cost function is C(Q) = 125,000 + 430,000Q. How many new homes should you build, and what profits can you expect? Number of homes you should build: homes Profits you can expect: $Assume the market shares of the six largest firms in an industry are 15 percent each. The six-firm concentration ratio would indicate that the industry is highly concentrated, while the Herfindahl- Hirschman Index would not. True OR False? If the inputs to a production process are perfect substitutes and the marginal rate of technical substitution is equal to the ratio of the prices of the two inputs, the firm can choose from a virtually infinite array of combinations of the two inputs to minimize the costs of producing a given level of output. True OR False?Two firms compete in a homogeneous product market where the inverse demand function is P = 20 -5Q (quantity is measured in millions). Firm 1 has been in business for one year, while Firm 2 just recently entered the market. Each firm has a legal obligation to pay one year’s rent of $1.4 million regardless of its production decision. Firm 1’s marginal cost is $2, and Firm 2’s marginal cost is $10. The current market price is $15 and was set optimally last year when Firm 1 was the only firm in the market. At present, each firm has a 50 percent share of the market. b. Determine the current profits of the two firms. c. What would each firm’s current profits be if Firm 1 reduced its price to $10 while Firm 2 continued to charge $15?
- I understand the other parts. Can you please answer part d and e below? Each of two firms, firms 1 and 2, has a cost function C(q) = 30q; the inverse demand function for the firms' output is p = 120-Q, where Q is the total output. Firms simultaneously choose their output and the market price is that at which demand exactly absorbs the total output (Cournot model).(a) Obtain the reaction function of a firm.(b) Map the function obtained in (a), and graphically represent the Cournot equilibrium in this market.(c) Repeat (b), this time analytically. (d) Now suppose that firm 1's cost function is C(q) = 45q instead, but firm 2's cost is unchanged. Analyze the new solution in the market. (e) Obtain the total surplus, consumer surplus, and industry profits in both cases, and compare. What is the effect of the worsening in firm 1's cost?A market consists of a dominant firm and a number of fringe firms. The followings are the information about these firms. Total market demand: QALL=300 – (2.5) P The competitive fringe supply function (total): QF=2P-12 The dominant firms marginal cost function: MC = 12 + (1⁄2) QD. a) What is the equilibrium price set by the dominant firm? b) How much will the competitive fringe supply to the market at the price found in question (a)? Show the answers graphically.The demand curve facing a dominant firm in the price leadership model is derived by subtracting the a ) dominant firmʹs marginal cost curve from the industryʹs supply curve. b ) amount supplied by the smaller firms from market demand. c ) amount supplied by the smaller firms from market supply. d ) amount demanded by customers of the smaller firms from market supply.
