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The price in a market is dominated by two firm is affected by the quantities supplied by both firms, Q1 and Q2: P = 120 – (Q1 + Q2). The marginal cost for the two firm is identical and constant and equal to 20.

a. Derive the equations for total revenue for the two firms.

b. Compute the profit-maximizing levels of output and prices for the firms.

c. Compute the profit-maximizing level of output and price for the industry if the duopolists merged and formed a monopoly.
d. compare and contrast the results between b and c

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a. Derive the equations for total revenue for the two firms.
TR1= p*Q1 = 120Q1 –Q12-Q1Q2
TR2= P*Q2 =120Q2 –Q22-Q1Q2
b. Compute the profit-maximizing levels of output and prices for the firms....

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