There 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 3q. Market demand function is given by Q=1200-70P. Find the equilibrium quantity of a type A firm and its profit, respectively. q=4, profit-$4 q-2, profit=$4 Oq-3, profit=$6 q=5, profit-$23
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- 1. There are two firms, A and B, on a competitive market. Firm A's total cost is given by: and firm B's total cost is given by: TCA(Q) 1+0.50² TCB (Q) = 0.502 + 6Q The market demand curve is Qd = 6-p. We denote by Qs the market supply (i.e., the sum of firm A's supply and firm B's supply). (b) What is the slope of the market supply curve (i.e. dQs/dp) when p = 3? What is the slope of market supply curve when p = 7? (c) Find the market equilibrium price p* and quantity Q*.Short-run supply and long-run equilibrium Consiber the competitive market for rhodium. Assume that no matter how many firms operate in the induatry, every firm is identical and faces the same marpinal cost (MC), averapt total cost (ATC), and average variable cost (AVC ) curves plotted in the following praph. The following graph plots the market demand curve for thodium. If there were 10 firms in this market, the short-run equilibrium price of rhodium would be per pound. At that price, firms in this industry would. Therefore, in the long run, firms would the rhodium market. Because you know that competitive firms earn economic profit in the long run, you know the long-run equilibrium price must be per pound. From the graph, you can see that this means there will be firms operating in the rhodium industry in long-run equilibrium. True or False: Assuming implicit costs are positive, each of the firms operating in this industry in the long run earns positive accounting profit. True False4.5 Show that the long-run equilibrium number of firms is indeterminate when all firms in the industryshare the same constant returns-to-scale technology and face the same factor prices.4.7 Technology for producing q gives rise to the cost function c(q) = aq + bg. The market demand forqisp =a - Bq.(a) If a>0, if b < 0, and if there are J firms in the industry, what is the short-run equilibriummarket price and the output of a representative firm?b) Ifa> 0 and b <0, what is the long-run equilibrium market price and number of firms? Explain.() Ifa>0and b > 0, what is the long-un equilibrium market price and number of firms? Explain.
- There 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 $10 and the variable cost is 3q. Market demand function is given by Q = 1200 - 70P Find the equilibrium price in the market . 8 12 10 7 There 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 $10 and the variable cost is 3q. Market demand function is given by Q = 1200 - 70P Find the equilibrium price in the market . 8 12 10 7Below is the demand schedule for wholesale pallets of ice cream. Assume that the marginal cost of supplying a wholesale pallet of ice cream is a flat $40 per pallet. Price Quantity Total Revenue Total Cost Profit $100 40 $90 50 $80 60 $70 70 $60 80 $50 90 $40 100 First, complete the table above for TR, TC, and profit. If this were a competitive industry, where P=MC, what would be the price and quantity of wholesale ice cream? If ice cream were supplied instead by a profit-maximizing monopoly, what would be the price and quantity? If Ben and Jerry were to form a collusive duopoly for the production of ice cream, what would be the price and industry quantity? If Ben and Jerry split the market in d. evenly, what would be the output and profit for each of them? What if Ben were to cheat on the cartel and produce a higher output by 10 pallets: What is Ben’s resulting output…Suppose that BMW can produce any quantity of cars at a constant marginal cost equal to$50 and a fixed cost of $22,500. You are asked to advise the CEO as to what prices andquantities BMW should set for sales in Europe and in the United States to maximize its profits.The demand for BMWs in each market is given by:QE = 8,000 – 80PE and QU = 4,000 – 20 PU,where the subscript E denotes Europe, the subscript U denotes the United States. Assume thatBMW can restrict U.S. sales to authorized BMW dealers only. Support your answersgraphically as well.a. If, by an international agreement between Europe and United States, BMW wereforced to charge the same price in each market, what would be the quantity sold in eachmarket, the equilibrium price, and the company’s profit?b. Suppose now that Europe and United States signed a new trade package under whichBMW now can charge different prices across the two markets. What quantity of BMWsshould the firm sell in each market, and what should the price be…
- 2. U-To is a price leader in the market for truck rentals. There are many small follower firms that take U-To’s price P as given and then supply truck rentals according to the supply function S(P)=P-50 for P≥50, and S(P)=0 for P<50. The demand for truck rentals is given by QD(P)=100-P. U-To’s cost function is C(QL)=100+40QL. Questions d. Find U-To’s first order condition for profit-maximization. e. Find the profit-maximizing price and quantity chosen by U-To, and the quantity supplied by the follower firms.Question 6 In the figure below, panel (a) depicts the linear marginal cost of a firm in a competitive market, and panel (b) depicts the linear market supply curve for a market with a fixed number of identical firms. Price Price (a) Firm (b) Market MC MC $2.00 $2.00 #t $1.00 $100 100 200 @aadip 01 Q2 Quantity If there are 300 identical firms in this market, what level of output will be supplied to the market when price is $1.00? O 300 O 6,000 30,000 O 60,000Suppose 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.
- There 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 $10 and the variable cost is 3q. Market demand function is given by Q=1200-70 P. Find the equilibrium price in the market. $7 $8 $12 $10Use 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,…Suppose that each firm in a competitive industry has thefollowing costs: Total cost: TC=50 + 1/2q^2 Marginal cost: MC=q where q is an individual firm’s quantity produced. The marketdemand curve for this product is Demand: QD = 120 – P where P is the price and Q is the total quantity of the good.Currently, there are 9 firms in the market. a. What is each firm’s fixed cost? What is its variable cost?Give the equation for average total cost. b. Graph average total cost curve and the marginal cost curvefor q from 5 to 15. At what quantity is average total cost curve atits minimum? What us marginal cost and average total cost at thisquantity? c. Give the equation each firm’s supply curve. d. Give the equation for the market supply curve for the shortrun in which the number of firms is fixed. e. What is the equilibrium price and quantity for this market inthe short run? f. In this equilibrium, how much does each firm produce?Calculate each firm’s profit or loss. Is there incentive for…