Ken's Utility Function Is U(Q_K, W_K)=Q_KW_K and Barbie's Utility Function

Multiple Choice

Ken's utility function is U(Q_K, W_K) =Q_KW_K and Barbie's utility function is U(Q_B, W_B) =Q_BW_B.If Ken's initial endowment were 3 units of quiche and 7 units of wine and Barbie's endowment were 6 units of quiche and 7 units of wine, then at any Pareto optimal allocation where both persons consume some of each good,

A) Ken would consume 3 units of quiche for every 7 units of wine.
B) Ken would consume 9 units of quiche for every 14 units of wine that he consumes.
C) Barbie would consume twice as much quiche as Ken.
D) Barbie would consume 6 units of quiche for every 7 units of wine that she consumes.
E) None of the above.