Suppose That $U ( x , y ) = \min ( 3 x , y )$

Multiple Choice

Suppose that $U ( x , y ) = \min ( 3 x , y )$ . Further suppose that $P _ { x } = \$ 5$ per unit and $P _ { y } = \$ 10$ per unit and income is $I = \$ 105$ . For this consumer, the optimal basket to buy would be which of the following?

A) $( x , y ) = ( 9,3 )$
B) $( x , y ) = ( 3,1 )$
C) $( x , y ) = ( 1,3 )$
D) $( x , y ) = ( 3,9 )$