Which of the following utility functions is an example of Cobb-Douglas preferences?
A) $U ( x , y ) = y \sqrt { x }$
B) $U ( x , y ) = \min \{ 2 x , y \}$
C) $U ( x , y ) = 3 x + 5 y$
D) $U ( x , y ) = 2 x ^ { 2 } + 4 y$

Question

Quizplus · Accepted Answer

Cobb-Douglas utility functions have the form $U(x, y) = x^a y^b$. The function $U(x, y) = y \sqrt{x}$ can be rewritten as $U(x, y) = x^{0.5} y^1$, which fits the Cobb-Douglas form.

Which of the Following Utility Functions Is an Example of Cobb-Douglas