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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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One alternative way to calculate the total change in money supply when the Fed injects money into the economy or takes away money from the economy is the amount of money injected o
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