4. Consider a market with two horizontally differentiated firms, X and Y. Each has a constant marginal cost of $20. Demand functions are: —D 100- 2Рх + 1Pу Qx Qy = 100 - 2Py + 1Px Calculate the Bertrand equilibrium in prices in the market. Also, calculate the quantity sold and the profit of each firm.
4. Consider a market with two horizontally differentiated firms, X and Y. Each has a constant marginal cost of $20. Demand functions are: —D 100- 2Рх + 1Pу Qx Qy = 100 - 2Py + 1Px Calculate the Bertrand equilibrium in prices in the market. Also, calculate the quantity sold and the profit of each firm.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![4. Consider a market with two horizontally differentiated firms, X and Y. Each has a
constant marginal cost of $20. Demand functions are:
—D 100- 2Рх + 1Pу
Qx
Qy = 100 - 2Py + 1Px
Calculate the Bertrand equilibrium in prices in the market. Also, calculate the quantity
sold and the profit of each firm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64d3a47a-5142-4036-aad1-4ffa9f940508%2F1eb8b877-a8b3-4650-b734-a914c42cac4b%2F0ipkh6r.jpeg&w=3840&q=75)
Transcribed Image Text:4. Consider a market with two horizontally differentiated firms, X and Y. Each has a
constant marginal cost of $20. Demand functions are:
—D 100- 2Рх + 1Pу
Qx
Qy = 100 - 2Py + 1Px
Calculate the Bertrand equilibrium in prices in the market. Also, calculate the quantity
sold and the profit of each firm.
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