Calculate the socially optimal price and quantity


Problem

Suppose the EPA determines that U.S. water resources are not being used efficiently. They find the marginal cost and benefit to be represented by the following equations:

M C(q) = 15 + q
M B(c) = 100 -4q

They also determine that there are external costs associated with water consumption, which are not accounted for in current water markets. The external cost be can thought of as M C(q) = 10 + 0.5q.

i. Calculate the price and quantity at which the market is currently consuming water (inefficiently).

ii. Calculate the socially optimal price and quantity in the water market.

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Microeconomics: Calculate the socially optimal price and quantity
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