A group of 4 people individuals have utility functions u(y) = vy where y represents the income. We suppose that: - the income distribution is given by y = {1, 1, 9, 9} - the social welfare function has no bias/preference for inequality i) Draw the Lorenz curve associated with this income distribution, and make sure to illustrate a measure of inequality using the graph ii) In the case scenario that the government intervenes and makes all income equal in the economy. What equal level of income per capita maintains total utility the same as with {1, 1, 9, 9}