worth commodities Xa and d Ya are A's endowments, Xb and Yb are B's, and Xo = Xa + Xb, Yo = Ya + Yb), the competitive equilibrium allocation of the two commodities represents a mutual tangency of both consumers' indifference curv with each other and with a common budget line. (b) Suppose MRSa = Ya/Xa, MRSb = Yb/Xb, Xa = 10, Ya, = 100, Xb= 50, Yb = 20 and let good Y be the numeraire (Py = 1). Verify that the competitive equilibrium price is Px = 2.

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter22: Frontiers Of Microeconomics
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6. In an Edgeworth box for two consumers, A and B, with endowments of
commodities Xa and d Ya are A's endowments, Xb and Yb are B's, and Xo =
Xa + Xb, Yo = Ya + Yb), the competitive equilibrium allocation of the two
commodities represents a mutual tangency of both consumers' indifference curves
with each other and with a common budget line.
(b) Suppose MRSa = Ya/Xa, MRSb = Yb/Xb, Xa = 10, Ya, = 100, Xb= 50, Yb = 20,
and let good Y be the numeraire (Py = 1). Verify that the competitive
equilibrium price is Px = 2.
Transcribed Image Text:6. In an Edgeworth box for two consumers, A and B, with endowments of commodities Xa and d Ya are A's endowments, Xb and Yb are B's, and Xo = Xa + Xb, Yo = Ya + Yb), the competitive equilibrium allocation of the two commodities represents a mutual tangency of both consumers' indifference curves with each other and with a common budget line. (b) Suppose MRSa = Ya/Xa, MRSb = Yb/Xb, Xa = 10, Ya, = 100, Xb= 50, Yb = 20, and let good Y be the numeraire (Py = 1). Verify that the competitive equilibrium price is Px = 2.
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