Consider a society consisting of the following three income classes 05 mill rich households with an income of 40000 per month 75 mill middleclass households with an income of 2400 per month 2 mill poor households with an income of 1000 per month 

a). Plot the Lorenz Curve and calculate the Gini coefficient 

b). Assume the government levies a 475 tax on the income of the rich households and distributes the money equally among all other households.