Two firms sell differentiated products and compete in quantities. Inverse demand for the product of firm 1 is P₁ = 100 - Q₁-Q2, with Q₁ the quantity of firm 1, Q₂ the quantity of firm 2, and P₁ is the price that firm 1 receives for its product. Similarly, inverse demand for firm 2 is P₂ = 100 - Q₂-Q₁. Marginal costs for both firms are constant and equal to 40. There are no other Derive the Cournot equilibrium in terms of equilibrium quantities and equilibrium profits. costs. i.
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- 4.5 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.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…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 False
- 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?Mondi Company produces party boxes that are sold in bundles of 1000 boxes. The market is highly competitive, with boxes currently selling for R100 per thousand. The company has a total and marginal cost curve given by: TC = 3,000,000 + 0.001Q2 MC = 0.002Q Q is measured in thousand box bundles per year. [5] a. Determine Mondi's profit maximizing quantity. b. Calculate if the firm is earning a profit or a loss? c. Based on the analysis above, should Mondi Company operate or shut down in the shortrun?- 1 2 3 4 5 6 7 8 9 10 Consider a market in which three firms compete as quantity setters (i.e. firms are engaged in Cournot competition), and the market demand curve is given by Q= 6,000-10P. All firms have constant marginal cost equal to 100. In equilibrium, quantity supplied by each firm and the price are: Q-5000 and P = 100 Q=1000 and P = 200 Q=2500 and P = 225 Q=1250 and P = 225 Widget Widget is a commodity that is traded in a perfectly competitive global market that consists of many small price-taking firms. The firms fall in three categories with the following characteristics: Number of firms Type 1 Type 2 Type 3 100 100 50 Capacity of firm's plant (units per year) 120 units 100 units 100 units AVC ($ per unit) 20 30 30 Fixed cost per unit at full capacity ($/unit) 25 35 50 • Assume that each firm's AVC is constant up to the capacity of its plant. Further, assume that once built, a firm's plant has zero redeployment value. Finally, assume that a typical entrant has a cost…
- 40 Output Total Total (Q) Price Revenue Cost 1 $20.00 $2.50 i of 2 $15.00 $5.00 $10.00 $7.50 $5.00 $10.00 The table above shows demand and cost information for a firm that has market power and can set its price. If the firm is able to Perfectly Price Discriminate, it's profit maximizing Output (Q) is: Select one: а. 3 b. 4 C. d. 1There are only two driveway paving companies in a small town, Asphalt, Inc. and Blacktop Bros. The inverse demand curve for paving services is ?= 2040 ―20? where quantity is measured in pave jobs per month and price is measured in dollars per job. Assume Asphalt, Inc. has a marginal cost of $100 per driveway and Blacktop Bros. has a marginal cost of $150. Answer the following questions: Determine each firm’s reaction curve and graph it. How many paving jobs will each firm produce in Cournot equilibrium? What will the market price of a pave job be? How much profit does each firm earn?Suppose that the market for chicken momos is perfectly competitive with ten firms producing momos. Tasty treat is one of the ten price-takers in the market for momos. The accompanying tables show the demand schedule for momos in Dhaka and cost schedule for "Tasty Treat". DEMAND SCHEDULE Price (BDT per plate) Quantity demanded (plate per hour) 10 900 25 675 30 600 40 450 50 300 70 0 COST SCHEDULE OF TASTY TREAT Output (plate per hour) Marginal Cost (BDT per extra plate) Average Variable Cost (BDT per plate) Average total cost (BDT per plate) 40 20 25 90 50 10 10 75 60 30 20 55 70 50 23 50 80 70 35 60 90 85 50 77 a) What is the value of the shut-down price and break-even price for Tasty Treat?How did you figure that out?b) Write down the individual supply schedule of chicken momos for Tasty Treat and the industry supply schedule for chicken momos.c) Plot the market demand and supply curves for chicken momos and find the equilibrium price and…
- Two firms facing a demand curve are P = 50 -5Qwhere Q = Q1 + Q2. The cost functions of the two firms are:C1(Q1) = 20 + 10Q1C2(C2) = 10 + 12Q2Based on this information:a. Suppose both companies have entered the industry, then what is the price?and the profit-maximizing amount for the two firms under conditionsperfectly competitive market?b. What is the quantity, price and profit of the two firms ifcompanies collude in pricing?c. What are the quantities, prices, and profits of the two firms if theydo the Cournot strategy, and draw the reaction curves of the twothe company?d. What are the quantity, price, and profit of the two firms if theycarry out the stakeberg strategy.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. $240Consider a differentiated products market with two Bertrand competitors. Firm’s 1 demand curve is given by Q1= 20 - P1 +P2 and firm’s 2 demand curve is given by Q2= 20 – P2 +P1. Firm 1’s marginal cost is £2 and firm 2’s marginal cost is £20. What is the equilibrium price of firm 1? a. 28 b. 14 c. 11 d. 34