7) The market demand curve for a homogeneous product is given by p=70-Q where Q is the total quantity demanded at a price p. Suppose that there are two firms in the market. Each firm has a constant marginal cost of 10, and there are no fixed costs. What price and firm output levels does the Bertrand model of competition predict? How much profit does each firm make in equilibrium?
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- 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 False2. In the competitive mink oil industry, each fim has the same cost function: C = 10,000 100 + 0.01q. Demand for mink oil is as follows: Q = p2 What will be the long-run equilibrium price and quantity in the market? How many fims are in the industıy?Below 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…
- 3. Suppose there are two firms competing in a market. Both firms have the cost function c(x) =10x/2 while the demand function is given by x(p) = 100 – 0.1p. b. What will be the price charged and the quantity produced if the firms’ strategy is quantity? How much profit each firm make? 14 marksThe market demand and supply function for Pizza in New Town were: Qd = 10,000 – 100P Qs = - 2,000 + 100P A. Determine the equilibrium price and quantity of the Pizza. B. Plot the market and demand curves, label the equilibrium point E, and draw the demand curve faced by a single Pizza shop in this market on the assumption that the market is perfectly competitive. Show also the marginal revenue of the firm on the figure. C. If the total cost function of the firm is TC = 500 + 2Q + Q2, determine the price-quantity combination that will maximize the firm’s profit. D. Determine the profit. What adjustments should be anticipated in the long run?5. The market demand for leather handbags is given by the function P = 75 - 1.5Q. P is priceper handbag, and Q is output per time period.The market supply is given as P = 25 + 0.50Q. A typical competitive firm that markets thistype of bag has a marginal cost of production of MC = 2.5 + 10q. [4]a) Calculate the market equilibrium price for the bags as well as the output rate in themarket.b) Calculate how much the typical firm will produce per time period at the equilibriumprice.c) If all firms had the same cost structure, how many firms would compete at theequilibrium price computed in (a) above?
- Suppose that you are a manager for a firm like EBC Brakes, which manufactures brakes for automobiles and motorcycles. Your company has two plants, one in the United States and the other in the United Kingdom. The following tables include estimated demand and marginal revenue for your brakes, along with the marginal costs at the two factories. what quantity and price maximize your firms profit? What is the profit – maximizing number of brakes produced in the U.S. plant? In the U.K. plant? Quantity Demanded (brakes per hour) Price (dollars per brake) Quantity Produced in the U.K. plant (brakes per hour) Quantity Produced in the U.S. (brakes per hour) Total Quantity Produced Marginal Cost (dollars per brake) Marginal Revenue (dollars per brake) 104 196 47 42 89 66 92 105 195 48 44 92 68 90 106 194 49 46 95 70 88 107 193 50 48 98 72 86 108 192 51 50 101 74 84 109 191 52 52 104…Suppose that each firm in a competitive industry has the following costs: Totalcost:TC=50+1/2q2 Marginalcost:MC=q where q is an individual firm's quantity produced. The market demand 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.1. Give the equation for the market supply curve for the short run in which the number of firms is fixed.2. What is the equilibrium price and quantity for this market in the short run?3. In this equilibrium, how much does each firm produce? Calculate each firm's profit or loss. Is there incentive for firms to enter or exit?4. In the long run with free entry and exit, what is the equilibrium price and quantity in this market?5. In this long-run equilibrium, how much does each firm produce? How many firms are in themarket?3. Suppose there are only two firms in an industry selling an identical product where the quantity produced must be set well in advance of the good being sold in the market (and thus the quantity cannot be changed rapidly). The market demand for this good is given by the following equation: Q = 1,000 - 4P. Firm A's marginal cost of production is as follows: MC Α = 30 + 1.5Q₁. Firm B's marginal cost of production is as follows: MCB 100+ 2.5QB. Assume that each firm knows the other's cost of production. = a. If the two firm's decide their output simultaneously, how much output will each firm produce? What price will be charged in the market for the good? b. If the firm A's decides its output first and then B decides its output second, how much output will each firm produce? What price will be charged in the market for the good? Does A have an advantage by setting output first? Explain.
- Recall that in perfect competition a firm's demand curve is a horizontal line drawn at the market price level and that P=MR. With this in mind, based on the figure below, if we assume that the firm chooses the level of output that maximizes profit, what is total revenue at that output level? Price (P) 36 32 MC1 28 24 ATC 20 Dr AVC1 16 12 4 2 4 6 8 10 12 14 16 18 Quantity (Q) Select one: a. $264 b. $200 c. $220 d. $240Each of the 8 firms in a competitive market has a cost function of C=5+q°. The market demand function is Q = 360 – p. Determine the equilibrium price, quantity per firm, and market quantity. The equilibrium price is $. (Enter your response as a whole number.) DEC tv 13 MacBook Air DII 80 esc F5 F6 F7 FB F3 F4 F1 @ # $ % & 1 3 4 6 7 8. Q W E IT Y tab F caps lock C V ft fn つ つ エ リSuppose market demand for mobile operators is expressed by Q=90-3P where Q is measured by calls in hours. There are three firms that supply the market: TRCell,VFone, and Avea .Avea provide hourly calls at a unit cost of 20$, where as TRCell& VFone has a unit cost equal to 10 Suppose firms are competing in price( no capacity constraints ) a) What is the market price? Why? b) How much does each firm sell in Bertrand equilibrium? c) What are firms’ profits? Is there any way for all firms to get higher profits