Two goods are produced in a two-person economy - good X and good Y. Person A's production possibilities frontier is given by the formula X+Y=A, while Person B's production possibilities frontier is 2X+Y=B (where A, B > 0 and A< B < 2A). The utility function of this two-person society is described by the formula U(X,Y)= XY2. The optimal consumption level in this economy is: A+B 3 2A+B 6 2(A+B) . a. X = and Y = X = and Y = b. X = and Y = A+B C. X = and Y = 3 d. With such data it is not possible to unambiguously determine the consumption level. 2A+B 6 or 3 2(2A+B) 3 2(2A+B) 3 2(A+B) 3 X

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.1P
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Two goods are produced in a two-person economy
- good X and good Y. Person A's production
possibilities frontier is given by the formula X+Y=A,
while Person B's production possibilities frontier is
2X+Y=B (where A, B > 0 and A< B < 2A). The utility
function of this two-person society is described by
the formula U(X,Y)= XY2. The optimal
consumption level in this economy is:
a. X = A+B and Y =
3
2A+B
and Y =
and Y =
X =
b. X =
C. X
6
2A+B
6
A+B
3
=
2(A+B)
or
3
2(2A+B)
3
2(2A+B)
3
2(A+B)
3
and Y =
d. With such data it is not possible to
unambiguously determine the
consumption level.
X
Transcribed Image Text:Two goods are produced in a two-person economy - good X and good Y. Person A's production possibilities frontier is given by the formula X+Y=A, while Person B's production possibilities frontier is 2X+Y=B (where A, B > 0 and A< B < 2A). The utility function of this two-person society is described by the formula U(X,Y)= XY2. The optimal consumption level in this economy is: a. X = A+B and Y = 3 2A+B and Y = and Y = X = b. X = C. X 6 2A+B 6 A+B 3 = 2(A+B) or 3 2(2A+B) 3 2(2A+B) 3 2(A+B) 3 and Y = d. With such data it is not possible to unambiguously determine the consumption level. X
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