(a) Firms A and B are Cournot duopolists producing a homogeneous good. The inverse market demand is given by P-100 - Q. where P is the market price and Q is the total quantity demanded. Each firm has marginal cost equal to 40 and there are no fixed costs. Calculate the total industry output in this market. Derive also (i) the market price, the total profit of the two firms and the consumer surplus. (ii) monopoly. Calculate the total industry output after the merger. Derive also the market price, profit and consumer surplus after the merger. Explain intuitively any changes in these variables if the merger occurs. Suppose the two firms propose to merge to become a

Microeconomic Theory
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Chapter14: Monopoly
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(a) Firms A and B are Cournot duopolists producing a homogeneous good. The
inverse market demand is given by P= 100 Q, where P is the market price and Q is
the total quantity demanded. Each firm has marginal cost equal to 40 and there are no
fixed costs.
Calculate the total industry output in this market. Derive also
(i)
the market price, the total profit of the two firms and the consumer
surplus.
(ii)
monopoly. Calculate the total industry output after the merger. Derive
also the market price, profit and consumer surplus after the merger.
Explain intuitively any changes in these variables if the merger occurs.
Suppose the two firms propose to merge to become a
Transcribed Image Text:(a) Firms A and B are Cournot duopolists producing a homogeneous good. The inverse market demand is given by P= 100 Q, where P is the market price and Q is the total quantity demanded. Each firm has marginal cost equal to 40 and there are no fixed costs. Calculate the total industry output in this market. Derive also (i) the market price, the total profit of the two firms and the consumer surplus. (ii) monopoly. Calculate the total industry output after the merger. Derive also the market price, profit and consumer surplus after the merger. Explain intuitively any changes in these variables if the merger occurs. Suppose the two firms propose to merge to become a
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