2. Assume there is a community with 8 households and income distribution (1, 4, 5, 3, 10, 12, 15, 17). Let us call this community, group 1. a) If the government takes one unit of income from each of the three richest consumers and gives one unit to each of the three poorest, plot the Lorenz curve for this group. How has this inequality now changed? Explain b) Without plotting the Lorenz curve, show that the Lorenz curve for group 2 with the income distribution (1, 3, 4, 9, 11, 13, 16, 17) crosses the Lorenz curve for the distribution of group 1. c) Calculate the Gini for group 1