Professor Nightsoil's utility function is U_N(B_N, P_N)= B_N + 4p^1/2_N and Dean Interface's utility function is U_I(B_I, P_I)=B_I +2p^1/2_I.If Nightsoil's initial endowment is 7 bromides and 5 platitudes and if Interface's initial endowment is 8 bromides and 10 platitudes, then at any Pareto efficient allocation where both persons consume positive amounts of both goods, A)Interface consumes 1 bromide. B)Interface consumes 3 platitudes. C)Nightsoil consumes the same ratio of bromides to platitudes as Interface. D)Interface consumes 7.50 bromides. E)Interface consumes 2 platitudes.

Question

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The Answer of Professor Nightsoil's utility function is U_N(B_N, P_N)= B_N + 4p^1/2_N and Dean Interface's utility function is U_I(B_I, P_I)=B_I +2p^1/2_I.If Nightsoil's initial endowment is 7 bromides and 5 platitudes and if Interface's initial endowment is 8 bromides and 10 platitudes, then at any Pareto efficient allocation where both persons consume positive amounts of both goods, A)Interface consumes 1 bromide. B)Interface consumes 3 platitudes. C)Nightsoil consumes the same ratio of bromides to platitudes as Interface. D)Interface consumes 7.50 bromides. E)Interface consumes 2 platitudes.

Professor Nightsoil's Utility Function Is UN(BN, PN)= BN + 4p1/2N

Professor Nightsoil's Utility Function Is U_N(B_N, P_N)= B_N + 4p^1/2_N