Chapter 6.7, Problem 34E

Lorenz Curves In a study conducted by a certain country’s Economic Development Board, it was found that the Lorenz curve for the distribution of income of stockbrokers was described by the function

$f(x)=\frac{11}{12}{x}^2+\frac{1}{12}x$

and that of high school teachers by the function

$g(x)=\frac{5}{6}{x}^2+\frac{1}{6}x$

1. a. Compute the coefficient of inequality for each Lorenz curve.
2. b. Which profession has a more equitable income distribution?