Suppose the Consumer's Utility Function Is Given By $U ( x , y ) = \sqrt { x y }$

Multiple Choice

Suppose the consumer's utility function is given by $U ( x , y ) = \sqrt { x y }$ where $M U _ { x } = \frac { \sqrt { y } } { 2 \sqrt { x } } \quad M U _ { y } = \frac { \sqrt { x } } { 2 \sqrt { y } }$ The equation for this consumer's demand curve for $x$ is:

A) $x = I$
B) $x = \frac { I } { 2 P _ { x } }$
C) $x = 2 P _ { x }$
D) $x = \frac { I } { 4 P _ { x } }$