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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.
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An end-of-aisle price promotion changes the price elasticity of a good from -2 to -3. If the normal price is $10, what should the promotional price be?
Index number formulas
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Use a diagram of the open economy model (e.g. fig 32.4 from the text) to illustrate and explain the effect of the following event on the market for loanable funds, the level of net
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How can achieve mutual gain from international trade?
A normal population has a mean of 12.2 and a standard deviation of 2.5. A) Compute the Z value associated with 14.3. B) What proportion of the population is between 12.2 and 14.3.?
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