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 =

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
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Chapter1: Making Economics Decisions
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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
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
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?
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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