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There is an issue of how much of a public good- a river- should be protected...

There is an issue of how much of a public good- a river- should be protected from further development. There needs to be a recommendation based upon the following information. Every year, 1,000 people benefit from the river, specially for its recreational purposes.A survey estimates that each beneficiary has the same demand function for river preservation: q = 40 - (0.4)(P)- where P is the price per mile which persons are willing to pay every year for q miles of river preserved. The marginal opportunity cost of preservation is $25,000/mile/year.

a. How many miles of river would be preserved in an efficient allocation?

b. What is the magnitude of the total annual benefits associated with this policy?

c. What are the total annual costs of this policy?

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