Which of the following utility functions represent the same preferences as $U ( x , y ) = \sqrt { x \cdot y }$
A) $U ( x , y ) = 10 \sqrt { x y }$ .
B)U(x,y)= x . y.
C)U(x,y)= ln x + ln y.
D)All of these represent the same preferences.

Question

Quizplus · Accepted Answer

All of the given utility functions represent the same preferences as 11ea92a4_70cf_583a_adec_999f636549d7_TB2890_11. This is because all the utility functions have the same rank order of preferences, i.e., they prefer more of both goods x and y. The specific form of the utility function does not affect the preferences, as long as they have the same rank order.

Which of the Following Utility Functions Represent the Same Preferences U(x,y)=x⋅yU ( x , y ) = \sqrt { x \cdot y }U(x,y)=x⋅y​

Which of the Following Utility Functions Represent the Same Preferences $U ( x , y ) = \sqrt { x \cdot y }$