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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.
The price will change in the market, only due to the change in demand for the product. True or false
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what have you learned from the class
x=40-0.2p where x=x1+x2 c1=50+2x1+0.5x1 c2=100+10x2
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