Consider an industry with 9 identical firms, each facing a demand Q = 25,000 x [1/9-1/20 (p -p)], where Q is the output level by the firm, p is the price charged by the firm and p is the average price in the industry. Suppose each firm has a fixed cost 7500 and a marginal cost 40. When there is no entry or exit of any firm, what is the profit level of a firm in a symmetric equilibrium? (Round your answer to the nearest integer.) Your Answer: Answer
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- A firm in a perfectly competitive industry has patented a newprocess for making widgets. The new process lowers the firm’saverage cost, meaning that this firm alone (although still aprice taker) can earn real economic profits in the long run. a. If the market price is $20 per widget and the firm’s marginalcost is given by MC=0.4q , where q is the dailywidget production for the firm, how many widgets willthe firm produce? b. Suppose a government study has found that the firm’snew process is polluting the air and estimates the socialmarginal cost of widget production by this firm to be. If the market price is still $20, what is thesocially optimal level of production for the firm? Whatshould be the rate of a government-imposed excise tax tobring about this optimal level of production? c. Graph your results.Consider a market for a portable hard drive. Suppose that there are 50 firms producing the identical portable hard drive, and so the market can be considered to be competitive. The market demand for the portable hard drive is given by QD = 1800 – 10P, where Qp is the market demand, and P is the price. Each firm's cost function is given by C(q;) = 8+ q? /2, where q; denotes the quantity produced by firm i. Answer the following questions to find the competitive equilibrium price and quantity. (1) (10 points) What is the market supply, Qs? (2) (10 points) What is the market equilibrium price and quantity? (3) (10 points) What is the equilibrium profit for each firm?Suppose there are in total 3 firms in the market. Firm 1 decides its output first, then Firm 2 and Firm 3 decide their outputs simultaneously. The inverse demand function is p = 14 – 3q, where q = q1 + q2 + 43, and each firm's cost function is c(q.) = 2q?. What is the quantity that Firm 1 produces? Round your answer to 2 decimal points. Answer: The correct answer is: 1.04
- Suppose we have two identical fırms A and B, selling identical products. They are the only firms in the market and compete by choosing quantities at the same time. The Market demand curve is given by P=287-Q. The only cost is a constant marginal cost of $13. If Firm A produces a quantity of 60 and Firm B produces a quantity of 33, what is market price? Enter a number only, no $ sign. 194There are 80 firms of type A and 60 firms of type B in a perfectly competitive market. On one hand, type A firm faces a fixed cost (all sunk) of $12 and average variable cost is 2q. On the other hand type B firm faces a fixed cost (all sunk) of $100 and the variable cost is 3g. Market demand function is given by Q=1200-70P Find the equilibrium quantity of a type A firm and its profit, respectively. Oq=4, profit-$4 Oq=2, profit=$4 q-3, profit=$6 q=5, profit-$23Consider a set of 1000 companies operating in a competitive market. The supply curve for this market is given by O = 20+2P and the demand curve is given by D = 280-4P, where quantity Q is measured in millions of tons and Price P is measured in monetary units. Considering that the marginal cost of the individual firm is given by 2Q, the quantity Q being measured in thousands of tons, we ask: a) Sketch the market equilibrium and the equilibrium of an individual firm. b) What is the situation of this market at that particular moment. c) Make considerations about the long-run equilibrium trend of this market.
- Consider a market with two identical firms, Firm A and Firm B. The market demand is:1P = 100 — —2Qwhere Q = QA + QB . The cost conditions are MCA = MC, = ACA = AC, = 24. (Hint: Round your solutions to 2 decimal places.)Assume this market has a Stackelberg leader, Firm A. Solve for the quantity, price and profit for each firm. Explain your calculations.How does this compare to the Cournot-Nash equilibrium quantity, price and profit? Explain your calculations.A perfectly competitive industry that produces wireless headphones consists of many firms that can produce 1,000 pairs of headphones per day at a minimal average cost $100 per pair. Each firm must also pay marketing fees for its production, and the marketing fee m per each pair of headphones is an increasing function of the total industry output Q: m = 0.0005Q. The demand for headphones is given by Q = 100, 000 − 500p, where p is the price of a pair of wireless headphones. a) Let the headphones industry be in a long-run equilibrium. What is the equilibrium price of a pair of headphones? How many pairs of wireless headphones are produced? How many firms are there in the industry? What is the marketing fee per pair of headphones? b) Suppose that the demand for wireless headphones increases to Q = 125, 000 − 500p. In a new long-run equilibrium, what is the equilibrium price of a pair of headphones? How many pairs of wireless headphones are produced? How many firms are there in the…Glyde Air Fresheners is the dominant firm in the solid room aromatizer industry, which has a total market demand given by Q = 80 - 2P. Glyde has competition from a fringe of four small firms that produce where their individual marginal cost equals the market price. The fringe firms each have a total cost given by: TCi = 10Qi + 2Qi2. If Glyde’s total costs are given by TCG = 100 + 6QG a) what price should Glyde establish for air fresheners? b) what is Glyde’s maximum profit?
- A firm supplies its product to a number of UK cities. Its overall cost function can be expressed as TC = 40q² + 900q – 250. The Demand function in Lancaster is given by p = 3600 - 10q and that in Norwich by p = 5040-6q. i) What prices should the firm charge for its product in Lancaster and Norwich? ii) If the firm only supplies its output to Lancaster and Norwich, is it profitable? Interpret your answer; why might the firm be unable to pursue this strategy? 5.Suppose that the market demand for a product is given by ( A > 0 and B > 0). Suppose QABP=-also that in a competitive industry the typical firm’s cost function is given by (k > 2()Cqkaqbq=++0, a > 0 and b > 0).(a) Calculate the long-run equilibrium market price and the output for the typical firm. (b) Calculate the equilibrium number of firms in the market.(c) Describe how changes in the demand parameters A and B affect the equilibrium number of firms in this market. Explain your results intuitively.Suppose that there are 100 consumers in a perfectly competitive market and individual demand curves of these consumers are identical. Also, assume that there are 10 firms in the industry and these firms are identical as well. The following information is provided about this competitive market: Individual Demand Curve: P = 100 – 10QD Total Cost of a Representative (individual) Firm: TC = 20Q + (1/6) Q?+ 100 and MC=20+1/3Q a) What is the market demand function? b) What is the market supply function?