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2. Consider the market for gasoline, which is perfectly competitive Each rm in the industry produces gasoline with the same technology and has cost function:

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2. Consider the market for gasoline, which is perfectly competitive Each rm in the industry produces gasoline with the same technology and has cost function: C(q) = 200 + Sq + V: q? Each consumer has demand for gasoline given by: g(p) = 10 0.1p. where p is the price of gasoline. All consumers have identical demand functions. HINT: this question follows the method used in the example presented in class. a) Find the short-run supply curve for a typical firm. b) Suppose there are 10 firms in the market. Find the short-run aggregate supply curve. c) Suppose there are 100 consumers in the market. Find the aggregate demand curve. d) What is the short-run equilibrium when there are 10 firms and 100 consumers? e) In the short-run equilibrium, how much profit is earned by each firm? f ) What is the long-run equilibrium price in this market? How many firms will be in the market in the long run? [The long run number of firms may be a fraction. That's ok. ]

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