800 + 2H, OB. O B. H - 800 p= 2400 - G

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.6P
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Question
4
In a pure exchange economy with two goods, G and H, the two traders have Cobb-Douglas utility functions. Suppose that Tony's utility function is
U; = G,H;
and that Margaret's utility function is
Um = Gm (Hm)2.
Between them, they own 200 units of G and 400 units of H.
Determine p, the competitive price of G, where the price of H is normalized to equal one.
The general equilibrium price, p, equals
O A.
- G, + 400
p=
800 + 2H,
OB.
H, - 800
p=
2400 - G
Oc.
зн, + 800
p=
800 – 2G,
O D.
зн, + 200
p=
400 – 2G,
OE.
Hi
+ 800
p=
800 - G
Transcribed Image Text:In a pure exchange economy with two goods, G and H, the two traders have Cobb-Douglas utility functions. Suppose that Tony's utility function is U; = G,H; and that Margaret's utility function is Um = Gm (Hm)2. Between them, they own 200 units of G and 400 units of H. Determine p, the competitive price of G, where the price of H is normalized to equal one. The general equilibrium price, p, equals O A. - G, + 400 p= 800 + 2H, OB. H, - 800 p= 2400 - G Oc. зн, + 800 p= 800 – 2G, O D. зн, + 200 p= 400 – 2G, OE. Hi + 800 p= 800 - G
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