Two textile mills, located across a river from each other, are polluting the river. The marginal costs of pollution reduction for each firm are MCE₁ = 4E₁ +4 MCE₂ = 4/3E2 + 4/3, where E is the reduction in pollution from unregulated levels_ The associated marginal social benefit is estimated to be MSB = 10 - E, where E = E₁ + E₂. a. What is the socially optimal level of water-pollution reduction? c. If instead the government imposed a standard requiring each firm to equally reduce the level of pollution to achieve the socially optimal solution in part (i), what are the costs for each firm?

Microeconomics A Contemporary Intro
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Chapter17: Externalities And The Environment
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5B. Two textile mills, located across a river from each other, are polluting the river.
The marginal costs of pollution reduction for each firm are MCE₁ = 4E₁ + 4
MCE2 = 4/3E2 + 4/3, where E is the reduction in pollution from unregulated levels.
The associated marginal social benefit is estimated to be MSB = 10-E, where
E = E₁ + E₂.
a. What is the socially optimal level of water-pollution reduction?
c. If instead the government imposed a standard requiring each firm to equally
reduce the level of pollution to achieve the socially optimal solution in part (i),
what are the costs for each firm?
Transcribed Image Text:5B. Two textile mills, located across a river from each other, are polluting the river. The marginal costs of pollution reduction for each firm are MCE₁ = 4E₁ + 4 MCE2 = 4/3E2 + 4/3, where E is the reduction in pollution from unregulated levels. The associated marginal social benefit is estimated to be MSB = 10-E, where E = E₁ + E₂. a. What is the socially optimal level of water-pollution reduction? c. If instead the government imposed a standard requiring each firm to equally reduce the level of pollution to achieve the socially optimal solution in part (i), what are the costs for each firm?
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