Consider an economy with the following income distribution: Poorest Quintile earns $20,000 and Quintile 2 earns 25,000, Quintile 3 earns $35,000; Quintile 4 earn $75,000; and Top Quintile earns $175,000. a. What is the Range, RMD, Variance associated with this income distribution? b. Draw the perfect equality line, and Lorenz Curve associated with this distribution. c. Suppose the poorest quintile pays no taxes, the middle two pay 15 percent of their income in taxes, and the richest top two pays 35 percent of his income in taxes. 7% of the total tax revenues are allocated to the administrative costs. 80% of remaining 93% of tax revenue is redistributed equally to all citizens in the form of military defense, government pensions (social security), roads/highways, etc. The remaining 20% of tax money is disturbed entirely to the poorest bottom three earners. What is the Range, RMD, Variance associated with this redistribution plan? d. Draw the Lorenz Curve associated with this distribution. Which one is a more equal distribution, explain