Lorenz curves also can be used to provide a relative measure of the distribution of the total assets of a country. Using data in a report by the economic committee of a certain country, an economist produced the following Lorenz curves for the distribution of total assets in the country in 1963 and 1983, shown below. f(x) =x Lorenz curve for 1963 g(x) = x3 Lorenz curve for 1983 Find the Gini index of income concentration for each Lorenz curve and interpret the results. What is the Gini index for 1963? O (Round to three decimal places as needed.) What is the Gini index for 1983? O (Round to three decimal places as needed.) Interpret your results. O A. Total assets were more equally distributed in 1963 O B. Total assets were more equally distributed in 1983 Oc. Total assets were distributed the same in 1963 as in 1983.
Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
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