l quantity produced in the market. Each firm i faces the same lin C(q) = 2qi- %3D the total quantity produced and the equilibrium price. at values of n are consumers strictly worse off under the cartel than under ition? ring the competitive price (found in (a)), the cartel price (found in (c)) e price that the cartel would set if there were no competition authority, how e is the competition authority at keeping the price low? o only part D and E in 10 minutes
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- Inverse elasticity rule Use the first-order condition (Equation 15.2 ) for a Cournot firm to show that the usual inverse elasticity rule from Chapter 11 holds under Cournot competition (where the elasticity is associated with an individual firm's residual demand, the demand left after all rivals sell their output on the market). Manipulate Equation 15.2 in a different way to obtain an equivalent version of the inverse elasticity rule: pMCp=sieQ,p , where si=qi/Q is firm i's market share and eQp is the elasticity of market demand. Compare this version of the inverse elasticity rule with that for a monopolist from the previous chapter.Suppose three firms compete in a homogeneous-product Cournot industry. The market elasticity of demand for the product is −2, and each firm’s marginal cost of production is $50. What is the profit-maximizing equilibrium price?Additional Problem 3: Assume two companies (C and D) are Cournot duopolists that produce identical products. Demand for the products is given by the following linear demand function: ? = 600 − ?C − ?D where ?C and ?D are the quantities sold by the respective firms and P is the price. Total cost functions for the two companies are ??C= 25,000 +100?C 2 ??D = 20,000 + 125?D c. Determine the equilibrium price and quantities sold by each firm. d.Determine the profits for the market as well as eachfirm.
- You are the manager of BlackSpot Computers, which competes directly with Condensed Computers to sell highpowered computers to businesses. From the two businesses’ perspectives, the two products are indistinguishable. The large investment required to build production facilities prohibits other firms from entering this market, and existing firms operate under the assumption that the rival will hold output constant. The inverse market demand for computers is P=5900-Q , and both firms produce at a marginal cost of $800 per computer. Currently, BlackSpot earns revenues of $4.25 million and profits (net of investment, R&D, and other fixed costs) of $890,000. The engineering department at BlackSpot has been steadily working on developing an assembly method that would dramatically reduce the marginal cost of producing these high-powered computers and has found a process that allows it to manufacture each computer at a marginal cost of $500. How will this technological advance impact your…Firm A: TC = 10 + 60Q - 10Q^2 + 0.6Q^3 Firm B: TC = 2 + 50Q - 7Q^2 + Q^3 the graph below presents the short-run average cost functions for Firms A and B. a. to which does firm A or B does SRAC1 pertain? b. To which does Firm A or Firm B does SRAC 2 Pertain. c. Firm A and Firm B being the only 2 firms in the market, will tend to engage in fierce price competition in order to win market share and enhance profit. True or false?Consider an industry with only two firms: firm A and firm B. The industry’s inverse demand is P(Q) = 400 − 1/10Q 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. Suppose the two firms engage in Stackelberg competition, with firm A moving first, and firm B moving second. Find the equilibrium price in the industry, the equilibrium outputs, as well as the profits for each firm
- Assume the inverse demand function in a market is given by P ( Q ) = 500 − Q where Q is the total industry output, that is the sum of the output of all firms in the market. There are two firms (indexed by i = 1,2) who both have a cost of producing the good given by c ( q i ) = 10 ∗ q i The two firms are competing in the Cournot manner, that is they choose their quantities simultaneously in order to maximize profits. What is the best response of firm 1 if firm 2 chooses an output level of 200? (input a whole number:) The best response function of firm 1 with respect to firm 2's quantity choice takes the form: q 1 ( q 2 ) = w ∗ ( x − y ∗ q 2 − z ) where (w,x,y,z) are parameters of the problem. Solve for this best response function and provide the product (w*x*y*z) in the next blank: What is the Nash Equilibrium quantity produced by firm 1? (round to the nearest whole number)The two major producers in the beer industry, Anheuser-Bush (Firm 1) and Grupo Modelo (Firm 2) are about to enter the Chilean market as imported beers (Bud Light and Corona Light). A detailed market research analysis indicate that an approximate market demand structure for this product is P = 26.3 – 2Q (price per liter), where Q = Q1 + Q2 (in millions of liters per month). The firms’ cost structures are: TC1 = 6 + 2.5Q1 and TC2 = 8 + 1.8Q2. Instructions: Use no decimals. Use the average cost to calculate monopoly profits. Do not round if values are used to complete other calculations. Complete the following table. Q1 Q2 P Profits F1 Profits F2 F2 cheats w/ QDC, F1 colludes F2 cheats w/ QBRF, F1 colludesConsider an inverse market demand P= 200 − 2Q. Suppose there are two firms in the market, firm 1 and 2 have constant marginal and average cost MC = AC= 20. Suppose that firm 1 is a Stackelberg leader, (i.e., it determines its output before firm 2.) Determine the Stackelberg equilibrium outputs and profits.
- PROBLEM (5) (In a market with demand Q = 780 - p, there are 3 identical firms, A, B and C; each with a total cost function TC(Q) = 3(Q)^2. Calculate the market price under each of the 2 scenarios below, (i) B and C jointly form the fringe supply and A is the dominant firm in the dominant firm model. ( ii) They act as perfectly competitive firms -as if trying to maximize total surplus and minimize DWL- that is, their joint MC serves as the “market supply” for the competitive market. Please answer all the parts!Suppose that, prior to other firms entering the market, the maker of a new smartphone (Way Cool, Inc.) earns $80 million per year. By reducing its price by 60 percent, Way Cool could discourage entry into “its” market, but doing so would cause its profits to sink to −$2 million. By pricing such that other firms would be able to enter the market, Way Cool’s profits would drop to $30 million for the indefinite future. In light of these estimates, do you think it is profitable for Way Cool to engage in limit pricing? Is any additional information needed to formulate an answer to this question? Explain.Many home improvement retailers like Home Depot and Lowes have low-price guarantee policies. At a minimum, these guarantees promise to match a rival’s price, and some promise to beat the lowest advertised price by a given percentage.Do these types of pricing strategies result in cutthroat Bertrand competition and zero economic profits? If not, why not? If so, suggest an alternative pricing strategy that will permit these firms to earn positive economic profits.