Page 10 of 13 5) (10 points) Consider an economy with 1 million people and the following income distribution. 400,000 people earn $30,000 per year and 500,000 people earn $80,000 per year. (You can simplify the numbers in the question to make the calculations easier] a) (4 points] What is the Gini coefcient associated with this income distribution? b) (5 points] Suppose 500,000 people with an income of $80,000 per year pay 12.5 percent income tax and the other group does not pay any tax. Tax money is equally distributed to low-income group. What is the Gini coefficient associated with this redistribution plan? c] (1 point) What does the difference between two Gini coefficients tell us about the tax policy? Does the Gini coefficient change in the way that you expect