An Economy Has Two People, Charlie and Doris

An economy has two people, Charlie and Doris.There are two goods, apples and bananas.Charlie has an initial endowment of 6 apples and 4 bananas.Doris has an initial endowment of 12 apples and 2 bananas.Charlie's utility function is U(A_C, B_C) =A_CB_C, where A_C is his apple consumption and B_C is his banana consumption.Doris's utility function is U(A_D, B_D) =A_DB_D, where A_D and B_D are her apple and banana consumptions.At every Pareto optimal allocation,

A) Charlie consumes the same number of apples as Doris.
B) Charlie consumes 18 apples for every 6 bananas that he consumes.
C) Doris consumes equal numbers of apples and bananas.
D) Charlie consumes more bananas per apple than Doris does.
E) Doris consumes 12 apples for every 2 bananas that she consumes.