Professor Nightsoils Utility Function Is U N (B N, P

Multiple Choice

Professor Nightsoils utility function is U N (B N, P N) = B_N + 4P^1/2_N and Dean Interfaces utility function is U I (B I, P I) = B_I +2P^1/2_I where B N and B I are the number of bromides and P N and P I are the number of platitudes consumed by Nightsoil and Interface respectively.If Nightsoils initial endowment is 4 bromides and 25 platitudes and if Interfaces initial endowment is 2 bromides and 20 platitudes, then at any Pareto efficient allocation in which both consume positive amounts of both goods,

A) Nightsoil consumes the same ratio of bromides to platitudes as Interface.
B) Interface consumes 9 platitudes.
C) Interface consumes 5 bromides.
D) Interface consumes 3 bromides.
E) Interface consumes 4 bromides.