Consider a product market with three consumers X, Y and Z with demand function PX = 6 - QX, PY = 12 - QY and PZ = 18 - QZ respectively, where P is the price in dollars and QX, QY and QZ are the quantities demanded by Consumer X, Y and Z respectively. If the product is public good, obtain the marginal social  benefit function and draw the diagram. Determine the optimal quantity of the product in the market if the marginal cost of the product is constant at (a) $3, (b) $9 and (c) $21.

ECON MICRO
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ISBN:9781337000536
Author:William A. McEachern
Publisher:William A. McEachern
Chapter16: Public Goods And Public Choice
Section: Chapter Questions
Problem 1.1P: (Optimal Provision of Public Goods) Using at least two individual consumers, show how the market...
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Consider a product market with three consumers X, Y and Z with demand function PX = 6 - QX, PY = 12 - QY and PZ = 18 - QZ respectively, where P is the price in dollars and QX, QY and QZ are the quantities demanded by Consumer X, Y and Z respectively.

If the product is public good, obtain the marginal social  benefit function and draw the diagram. Determine the optimal quantity of the product in the market if the marginal cost of the product is constant at (a) $3, (b) $9 and (c) $21.

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