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.
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.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6cdd30f-ca94-4e7e-aaee-158576d6036d%2F21658e4e-6e7f-48ad-9774-1d4def41889e%2Ft6ui9g_processed.jpeg&w=3840&q=75)
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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