4. Farmer Andy and Farmer Betty are the only two farmers that grow heirloom tomatoes for sale at the local farmer's market and compete as Cournot duopolists. The inverse demand curve for heirloom tomatoes at the market is P = 140 - 5Q where P is the price per pound of tomatoes and Q is the number of pounds of tomatoes in hundreds per week; Q = qA + qB. Both Andy and Betty have a cost of growing tomatoes of w = 10, r = 20, and both have K = 1 in the short run. They both have a production function of q = L0.5KO.5. They will both earn profits of --.
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- If firm 1 and firm 2 are the oligopolistic firms in bottled spring water production in Nomansland. The market demand is given by ? = 5000 −20?, Qd is the number of kilolitres demanded per month while P is the price of kilolitres of bottled water. The marginal cost of a kilolitre of bottled water is R10.How do I Find the Cournot equilibrium quantities and price? and how do I Find the Cournot profits and the monopolist profits?1. Suppose that market demand is given by ? = 120 − ?/3. The two identical firms in the market both have marginal costs of 20. Draw the reaction curves on a graph and find the Cournot equilibrium quantities and price.Suppose that GE is trying to prevent Maytag from entering the market for high efficiency clothes dryers. Even though high efficiency dryers are more costly to produce, they are also more profitable as they command sufficiently higher prices from consumers. The following payoffs table shows the annual profits for GE and Maytag for the advertising spending and entry decisions that they are facing. GE MAYTAG Advertising = $12m Advertising = $0.7m Stay Out $0, $30m $0, $35m Enter $1m , $20m $12m, $15 Based on this information, can GE successfully prevent Maytag from entering this market by increasing its advertising levels? What is the equilibrium outcome in this game? Suppose that an analyst at GE is convinced that just a little bit more advertising by GE, say another $2m, would be sufficient to deter enough customers from buying Maytag, thus, yield less than $0 profits for Maytag in the event it enters. Suppose that spending an extra $2m on advertising…
- Suppose oil production in the Gulf of Mexico was a symmetric horizontal oligopoly in Cournot competition. Assume there are two producers, each with a constant marginal cost of production of $50 per barrel. Let the demand function for oil in the region be D(p) = 12000 – 20p, where demand is measured in barrels per day. (You will need to calculate inverse demand from demand before moving on). What would the perfectly competitive equilibrium price and quantity be? What would be the consumer surplus and producer surplus? Draw each firm’s residual inverse demand curve. Calculate the Cournot-Nash equilibrium price and quantity. What is the total consumer surplus, total producer surplus across the two firms, and deadweight loss?Think about firms such as the Coca Cola Company and PepsiCo who competeagainst each other in the monopolistically competitive market for soft drinks. Eachfirm produces a unique product, but each of these unique products is to some extenta substitute for the soft drinks produced by rival companies.Now imagine a situation where the firms within such a market are facing suchextreme competition that they are unable to make an operating profit. Characterisethis situation diagrammatically and explain what will happen to the market, payingparticular attention to the exit or entry of firms out of (or into) the market.There is much evidence that large firms with considerable market power (firms such asmonopolies) may not maximize profits but may pursue quite different objectives such asgrowth or sales revenue maximization. What are the arguments put forward to defendmonopoly? Name any 5 Generally, the aim of a business is to maximize profit. Which point should a firm operateat in order to achieve maximum profit? By making use of a graph indicate clearly the pointat which a firm makes maximum profit and a point where a firm increase their output inorder to enhance profit as well as well as the points where they should reduce theirproduction if they want to enhance profit
- 5 Suppose there are only two electric vehicle producers–Tesla and BMW. Using game theory in microeconomics, explain whether BMWand Tesla willdesign the same charge plug or different plug. What factors should the firms take into consideration?Exercise 6.7. Suppose two identical companies produce wood stoves and they are the only ones on the market. Its costs are given by: C1 (q1 )=200q1 and C2 (q2) = 200q2. And the inverse market demand curve is: P=2000-2Q, where Q =q1 + q2 Get the Cournot-Nash equilibrium. Calculate the profits of each company. Show graphically. Suppose that the two companies form a cartel to maximize joint profits. How many stoves will you produce? Calculate the profits of each company. Represent graphically. Managers now note that explicit agreements to collude are illegal. Each company must decide on its own whether to produce the amount of Cournot or that of the cartel.Suppose two Bertrand competitors, F1 and F2, make identical products for a market with inverse demand P = 600 – 0.5Q. Both firms have the same costs Ci = 20qi, and each firm has sufficient capacity to supply the entire market. a. What prices will the firms choose? How much might each produce and what profit would they make? Is the result a Nash equilibrium? Explain. b. Suppose F1 improves its efficiency, reducing its cost to C1 = 16q1. What will happen in this market? Explain. c. Assume now that the firms have their original identical costs, but that F1 has only 100 units of capacity and F2 has only 200 units of capacity. What prices will the firms choose now? Explain why neither firm will want to decrease its price at the equilibrium you identify. Why would neither firm want to increase its price? Prove this for F1.
- 18. Refer to Figure 18-1. If the shop charges $150 per repair, then what is the value of the marginal product of the second mechanic? 19. Refer to Figure 18-1. What is the marginal product of the third mechanic? 20. Why are the actions of firms interdependent in an oligopoly market but not in a monopolistically competitive market?There 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?Two firms with differentiated products are competing in price. Firm A and B face thefollowing demand curves: Q_A = 70 − 2P_A + P_B and Q_B = 120 − 2P_B + P_Arespectively. Assume production is costless.a. Give equations for and graph each firm’s reaction curve.b. If both firms set their prices at the same time, what is the Nash equilibriumprice, quantity, and profit for each firm?c. Suppose A sets its price first and then B responds. What price and quantitydoes each firm set now? Is it advantageous to move first?d. Compare the profits from part b and c. Which firm benefits more from thesequential price choosing? (Please do b-d, thanks :))