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Calculating a Measure of Income Inequality

An economy's income distribution is described by a curve composed of straight line segments connecting the points (0,0), (4,0), (90,60), and (100,100). On this graph, the x-axis represents the cumulative percentage of the population from poorest to richest, and the y-axis represents the cumulative percentage of total income. Calculate the Gini coefficient for this economy. The Gini coefficient is the ratio of the area between the line of perfect equality (a straight line from (0,0) to (100,100)) and the income distribution curve, to the total area under the line of perfect equality.

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