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A Parent Has Two Children Living in Cities with Different

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A parent has two children living in cities with different costs of living. The cost of living in city B is 3 times the cost of living in city A. The child in city A has an income of $3,000 and the child in city B has an income of $9,000. The parent wants to give a total of $2,000 to her two children. Her utility function is U(CA, CB) = CACB, where CA and CB are the consumptions of the children living in cities A and B respectively. She will choose to give


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