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There are two countries, A and B. Each country has a large population. Suppose film) is a function that describes the cumulative share of income of people with the bottom a: share of income in country i, for 2' = A,B. Moreover, fA(m) = mg and fB(a:) = $3. The domain of m is [0.1], i.e., 0 S m g 1. (1) Which country has a were equal distribution of income as measured by Gini coefficient? Explain why? (5 marks) (2) Would a Utilitarian social planer prefer the income distribution in one country over the other. If so, which country? If not, why