3-2-Assume a market with two firms selling two products. The demand of Firm 1 is Q1=7-3p1+3p2. The demand of Firm 2 is Q2=7-3p2+3p1. Assume all zero marginal and fixed costs. What is the reaction function of Firm 1? What is the reaction function of Firm 2? What is the equilibrium price of Firm 1? What is the equilibrium price of Firm 2? 30pts
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- 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?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. 1947. A honey farm is located next to an apple orchard and each acts as a competitive firm. Let the number of apples produced be measured by A and the amount of honey produced by H. The cost functions of the two firms are CH (H) = H²/100 and C₁(A)=4-H. The price of honey is £2 and the price of apples is £3. 100 a. If the firms operate independently, what is the equilibrium number of apples and amount of honey produced? Are these amounts the Pareto-efficient? Explain. b. Suppose the two firms merge. What is the profit maximising amount of apples and honey that the merged firm produce? Explain. c. What is the socially optimum amount of honey and apples? Discuss methods to induce the independent firms to produce the socially optimal number of apples and amount of honey. Explain.
- A study of ethanol as a transportation fuel reveals that the competitive equilibrium is expected to be at a price of $4 per gallon and a consumption rate of 100 million gallons/day. For a production rate of 10 million gallons/day, the marginal cost is found to be $1 per gallon. Also, a a price of $10 per gallon the demand is 10 million gallons/day. Answer the following questions for this system. 1. Determine the equations for the demand and marginal cost lines. 2. Calculate the consumer and producer surplus for the market equilibrium. 3. It was discovered later that the above information ignored a government subsidy of 50 cents per gallon. How will the demand and marginal cost lines, and the competitive equilibrium, change if this subsidy is removed?Consider a market of 6 firms that compete through production. Demand is given as P = 220 – 2Q. Each firm has a marginal cost of $20. a. What will be the equilibrium firm quantities, market price, and firm profits? b. Suppose two firms merge in this market to become a leader. What will be the new equilibrium firm quantities, market price, and firm profits? Was it profitable for the firms to merge into a leader? Note that n = 5 after the merger. c. Suppose another two firms merge to form a second leader in the market. What will be the new equilibrium firm quantities, market price, and firm profits? Was it profitable for the followers to merge into a co-leader? Note that n = 4 and L = 2 after the merger:3. The (market) inverse demand function for a good is as follows: 12- 2q if q = [0,6], if q> 6. Pp(q) = { 12 There are two firms: N = {1,2}. Each firm's cost function is such that producing a units of the good incurs cost 2r. We consider the Cournot competition of the two firms. That is, they simultaneously choose their quantities. The firms are profit-maximizers. (1) Find a Nash equilibrium. (2) What is the size of the deadweight loss incurred by the Duopoly, compared to the competitive equilibrium allocation?
- 2. An industry contains two firms and the inverse demand function for the firms' output is P-180-30, where Q is the total output Suppose that firm I's cost and marginal cost functions are C(q)- 30q; and MC(q)-30, while firm 2's cost and marginal cost functions are C(q)-q² and MC(q)-2q2 a. Determine each firm's Nash equilibrium output. b. Determine each firm's profit at the Nash equilibrium output.Consider the following market demand function: Q= 20-2P, where P is the market price. Suppose there are two firms- A,B in the market and they have the same cost function: the per unit cost of producing output is 4. The firms compete by choosing quantities. Find the reaction functions for both the firms if they are maximizing profits. What is the profit maximizing output for each firm and corresponding market price? If there was only one firm in the market how would your answer change?consider 2 gas stations in a remote village facing a simple linear markit demand Q=300-5P, but have different marginal costs of production, both constant, such that MCx=20 and MCy=10. 1. Measuring the quantities Qx on the horizontal axis and the quantities Qy on the vertical axis, draw the reaction curves for each of the gas stations.
- 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 FalseY6 Suppose that a market consists of 300 identical firms, all with the same cost curve: TC(4) = 0.1 + 150g?. The market demand is given by Qd(p) = 60 - p (a) What is the equilibrium price and quantity? (b) What quantity must each firm produce and sell at equilibrium? (c) Do firms make positive profits in the market equilibrium? (d) Calculate consumers' surplus, producers' surplus and total surplus.1. An industry consists of three firms with identical cost functions, C(q.) = 18q; + q?, where i = 1,2, 3. Market demand is given by Q = 150 – P, where Q = E1q; is total industry quantity. (a) Are there fixed costs? Constant marginal costs? Economies of scale? (b) Solve for the Cournot Nash equilibrium quantities, price, and profits.