Consider the following utility functions. (x,y) = −1 / [ min (6x, 2y)+1] ■(x,y) = min(6x,6y)² (x,y) = min (6x,2y) - 10000000000 (x,y) = min(3x, y) ³ √(x,y) = min (6x, y)³ + 2 (x,y) = min (x,2y) Which of the above functions, if any, is homogeneous of degree 3? elect one or more: a. None. b. Z C. L d. G e. U f. W a. H

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider the following utility functions.
G(x,y) = -1/[ min (6x,2y)+1]
H(x,y) = min (6x,6y)²
L(x,y) = min (6x,2y) - 10000000000
3
U(x,y) = min (3x, y)³
W(x,y) = min (6x, y)³ + 2
Z(x,y) = min (x,2y)
Which of the above functions, if any, is homogeneous of degree 3?
Select one or more:
a. None.
b. Z
c. L
d. G
e. U
f. W
g. H
Transcribed Image Text:Consider the following utility functions. G(x,y) = -1/[ min (6x,2y)+1] H(x,y) = min (6x,6y)² L(x,y) = min (6x,2y) - 10000000000 3 U(x,y) = min (3x, y)³ W(x,y) = min (6x, y)³ + 2 Z(x,y) = min (x,2y) Which of the above functions, if any, is homogeneous of degree 3? Select one or more: a. None. b. Z c. L d. G e. U f. W g. H
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