The inverse demand function in an industry with two firms is given as p = 50 – 2y, where y is the industry demand and p is the price. The firms have different technologies at their production plants with costs given as c1(yı) = 10y; and c2(2) = 14y2, where y = y,+ y2. 1. Assuming the firms are Cournot duopolists, find the equilibrium price, quantity and profit for each firm (if needed, have 2 digits after decimal point). 2. Assuming the firms act as a Stackelberg leader and follower, with firm 1 as the leader, find the equilibrium price, quantity and profit for each firm. 3. If the firms merge into one firm and become a monopoly in the industry, what will be the output of the merged firm? Comment on what would happen to the production plants under one ownership. Find the equilibrium price and profit.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter12: Price And Output Determination: Oligopoly
Section: Chapter Questions
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The inverse demand function in an industry with two firms is given as p = 50 – 2y, where y
is the industry demand and p is the price. The firms have different technologies at their
production plants with costs given as c(y1) = 10y, and c2[y2) = 14y2, where y = y,+ y2.
1. Assuming the firms are Cournot duopolists, find the equilibrium price, quantity and
profit for each firm (if needed, have 2 digits after decimal point).
2. Assuming the firms act as a Stackelberg leader and follower, with firm 1 as the
leader, find the equilibrium price, quantity and profit for each firm.
3. If the firms merge into one firm and become a monopoly in the industry, what will
be the output of the merged firm? Comment on what would happen to the
production plants under one ownership. Find the equilibrium price and profit.
4. Compare and comment on the total industry profits in these three market
structures.
5. Assuming the firms are Bertrand duopolists, what is likely to happen? Explain
verbally (no need to solve the problem).
Transcribed Image Text:The inverse demand function in an industry with two firms is given as p = 50 – 2y, where y is the industry demand and p is the price. The firms have different technologies at their production plants with costs given as c(y1) = 10y, and c2[y2) = 14y2, where y = y,+ y2. 1. Assuming the firms are Cournot duopolists, find the equilibrium price, quantity and profit for each firm (if needed, have 2 digits after decimal point). 2. Assuming the firms act as a Stackelberg leader and follower, with firm 1 as the leader, find the equilibrium price, quantity and profit for each firm. 3. If the firms merge into one firm and become a monopoly in the industry, what will be the output of the merged firm? Comment on what would happen to the production plants under one ownership. Find the equilibrium price and profit. 4. Compare and comment on the total industry profits in these three market structures. 5. Assuming the firms are Bertrand duopolists, what is likely to happen? Explain verbally (no need to solve the problem).
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