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

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answerhappygod
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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 = (CAUB

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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 = (CAUB )^1/2
UB = (CBUA)^1/2
Suppose they have 100 units of consumption to distribute, they will maximize the joint happiness (UA + UB) where
CA = 100, CB = 0.
CB = 100, CA = 100.
CA = 67, CB = 33.
CB = 50, CA = 50.
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