A Parent Has Two Children Living in Cities with Different

A parent has two children living in cities with different costs of living. The cost of living in city B is 3 times the cost of living in city A. The child in city A has an income of $2,000 and the child in city B has an income of $6,000. The parent wants to give a total of $2,000 to her two children. Her utility function is U(C A, C B ) = C A C B, where C A and C B are the consumptions of the children living in cities A and B respectively. She will choose to give

A) each child $1,000, even though this will buy less goods for the child in city B.
B) the child in city B 3 times as much money as the child in city A.
C) the child in city B 1.50 times as much money as the child in city A.
D) the child in city A 3 times as much money as the child in city B.
E) the child in city A 1.50 times as much money as the child in city B.