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Compute Gini Index

The areas illustrates in this Lorenz diagram can be used to compute a Gini index as: (i) (cow + pig)/cow. (ii) cow2/(cow + pig).  (iii) pig2/(cow + pig). (iv) cow/(cow + pig) (v) (cow + horse)/pig.

997_Lorenz Curve Problem.png

Can anybody suggest me the proper explanation for given problem regarding Economics generally?

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