1. Two people have demands for public good X, where X is units and P is price per unit: Person 1 demand: X₁ = 30 - 0.5P1 Person 2 demand: X2 = 20 - 0.5P2 nt to provide another unit of X is MC = 40.

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1. Two people have demands for public good X, where X is units
and P is price per unit:
Person 1 demand: X1 = 30 - 0.5P1
Person 2 demand: X2 = 20 - 0.5P2
Marginal cost to provide another unit of X is MC = 40.
%3D
a. Find/write the equation to represent the total (social) marginal
benefit (demand) of X. In your answer, explain the difference between
finding the total (social) marginal benefit (demand) for a public good
compared to a private good. (Note that these demand curves are
written quantity as a function of price.). Graph the curves.
b. Find the efficient total quantity of X to provide.
c. Find the efficient "price" to charge each person.
d. Why will the competitive market likely fail to provide the efficient
quantity of a public good? Explain.
Transcribed Image Text:1. Two people have demands for public good X, where X is units and P is price per unit: Person 1 demand: X1 = 30 - 0.5P1 Person 2 demand: X2 = 20 - 0.5P2 Marginal cost to provide another unit of X is MC = 40. %3D a. Find/write the equation to represent the total (social) marginal benefit (demand) of X. In your answer, explain the difference between finding the total (social) marginal benefit (demand) for a public good compared to a private good. (Note that these demand curves are written quantity as a function of price.). Graph the curves. b. Find the efficient total quantity of X to provide. c. Find the efficient "price" to charge each person. d. Why will the competitive market likely fail to provide the efficient quantity of a public good? Explain.
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