Suppose that there is a group of four individuals who have utility functions u[y]| 2 VI? where y is income. Suppose that the social welfare function has no intrinsic preference for inequality and that the income distribution is y = {111,9,9]-. Suppose that the government intervenes and equalizes income in the economy. i} At what equal level of income per capita is total utilityr the same as with {1, 1,919}? pm we\" 4 ii] How does this govemment intervention impact average income?l Answer: decreases by 1 iii] Wh at does your answer to [ii] tell us about the welfare consequences of income redistri buticn? Suppose the utility of the two individuals with an incomeon is now u[y] = 45",? with H :=- 1. Does this alter the case for equalising incomes? Discuss how different criteria might be used to justify redistribution even when H is high