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Consider a model of Cournot competition as studied in class, with 2 firms and a linear inverse demand function P(Q) = a - Q (where Q = q1 + q2 is the total quantity produced by the two firms and a is a parameter). The firms have differentmarginal costs: c1 for Firm 1 and c2 for Firm 2.(a) Find the Nash equilibrium.
(b) Assume Firm 1's marginal cost is larger (c1 > c2). Which firm produces more in equilibrium? How do the quantities produced in equilibrium change if Firm 1 improves its technology, leading to a lower c1 (while c2 is unchanged)?
(c) Find the total quantity produced and each firm's profit in equilibrium. Describe what happens to these when Firm 1 changes its technology as above.
Suppose that quantity demand falls by 30% as a result of a 5% increase in price. What would be the price elasticity of demand for this good?
Suppose you buy call options on Microsoft stock. Each option costs $2 and has the strike price of $40 and the expiration date July 1. Discuss whether you would exercise the options
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What does the United States do better than other countries?
Flossy has a quasi-linear utility function, 16q1^0.5 + q2. The price of good 1 is fixed at one. Thus, Flossy's budget constraint is q1 + p2q2 =Y, where Y denotes income. 6.1 Compu
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