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3.a 3.b Aggregate income 37 > 0is to be distributed among a set ]I of individuals to maximize the utilitarian social welfare function W =

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3.a 3.b Aggregate income 37 > 0is to be distributed among a set ]I of individuals to maximize the utilitarian social welfare function W = E u' tel Suppose that u' = 05"(y l)'iwhere a' > Ofor all i 6 ll. Show that if B e (0, 1) then income must be distributed equally if and only if of = a'for all i,j 6 ll. Now suppose that u' at u'for all L] e 11. What happens in the limit as B ' 0? How about as B - 1? Interpret

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