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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- Please no written by hand solution Considerthe following problem. There are five firms producing a homogenous good and competing in quantities simultaneously. The demand function for this good is given by D(p) = 100−p, where p denotes price. The marginal cost is the same for all firms and equals 40 Answer the following questions. (a) Compute the equilibrium quantities and profits of each firm. (b) Now suppose that two of these firms (say firms 1 and 2) want to merge. (The remaining firms stay unchanged.) Merging, however, is costly. To merge, each merging firm has to pay a fixed cost F. Determine the highest fixed cost F that the two firms would be willing to pay in order to proceed with the merger.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. 194
- 4**Practice** Consider a market with three firms. Each firm has a different cost function. We assume C1(q1) = 7q1, C2(q2) = q2 + 1, and C3(q3) = 3q3.7. 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.
- 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=390-Q. The only cost is a constant marginal cost of $14. Suppose Firm A produces a quantity of 57 and Firm B produces a quantity of 44. If Firm A decides to increase its quantity by 1 unit while Firm B continues to produce the same 44 units, what is the Marginal Revenue for Firm A from this extra unit? Enter a number only, no $ sign. Don't forget to include the negative sign if revenue decreases. 231A 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?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?