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Suppose two people, A and B , are in love and care for the other's happiness as well as their own consumption. UA = (

Suppose two people, A and B, are in love and care for the other's happiness as well as their own consumption.

UA = (CAUB )^1/2

UB = (CBUA)^1/2

Suppose they have 100 units of consumption to distribute, they will maximize the joint happiness (U_A+ U_B) where

C_A= 100, C_B= 0.

C_B= 100, C_A= 100.

C_A= 67, C_B= 33.

C_B= 50, C_A= 50.

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