2. Gini Coefficient and Income Inequality (40 points).(a) Suppose 50% of a population all receive an equal share of $p\%$ of the nation's income,where 0 ≤ p ≤ 50. In other words, the top 50% of the population all receive an equalshare of (1 - p)% of the nation's income. For any such p, what is the Gini coefficient?Graph your results.(b) What is the effect of a higher p on Gini coefficient? What can you say about incomeinequality?(c) What happen if p = (1)/(2)? And how about p = 0? Interpret.(d)