In the following market model, p is price, q is quantity demanded and qs is quantity supplied: q² = 3-2p, and q³ = -1 + 4p. Suppose that the market does not clear instantaneously, but that price increases when there is excess demand and decreases when there is excess supply: p = ½ (9² − 9³), where p =
In the following market model, p is price, q is quantity demanded and qs is quantity supplied: q² = 3-2p, and q³ = -1 + 4p. Suppose that the market does not clear instantaneously, but that price increases when there is excess demand and decreases when there is excess supply: p = ½ (9² − 9³), where p =
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Given:
Equilibrium Price:
(p) = 0.67
First-Order Differential Equation of (p) is:
a=2-3p
Time Path of (p), Initial Price p(0) = po:
p(t)=[2-(2-3po)] e −³t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6274a625-9a74-4008-b392-f1961eea52c4%2Fbf46aff9-0995-470b-80dd-45e05173d50a%2Fd2bx0fw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given:
Equilibrium Price:
(p) = 0.67
First-Order Differential Equation of (p) is:
a=2-3p
Time Path of (p), Initial Price p(0) = po:
p(t)=[2-(2-3po)] e −³t

Transcribed Image Text:2. In the following market model, p is price, q is quantity demanded and q5 is quantity
supplied:
q² = 3-2p,
and
q³ = -1 + 4p.
Suppose that the market does not clear instantaneously, but that price increases when
there is excess demand and decreases when there is excess supply:
p = ½ (9³ − 9³),
where p
(d)
What happens to p as t- x?
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