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In economics, a production function gives the technological relation between quantities of physical inputs and quantities of output of goods. The production function is one of the key concepts of mainstream neoclassical theories, used to define marginal product and to distinguish allocative efficiency, a key focus of economics. One important ...
Wire-grid Cobb–Douglas production surface with isoquants A two-input Cobb–Douglas production function with isoquants. In economics and econometrics, the Cobb–Douglas production function is a particular functional form of the production function, widely used to represent the technological relationship between the amounts of two or more inputs (particularly physical capital and labor) and ...
In economics, factors of production, resources, or inputs are what is used in the production process to produce output—that is, goods and services. The utilised amounts of the various inputs determine the quantity of output according to the relationship called the production function .
The production function is a graphical or mathematical expression showing the relationship between the inputs used in production and the output achieved. Both graphical and mathematical expressions are presented and demonstrated. The production function is a simple description of the mechanism of income generation in production process.
This is a list of production functions that have been used in the economics literature. Production functions are a key part of modelling national output and national income . For a much more extensive discussion of various types of production functions and their properties, their relationships and origin, see Chambers (1988) [ 1 ] and Sickles ...
where y i is the observed scalar output of the producer i; i=1,..I, x i is a vector of N inputs used by the producer i; is a vector of technology parameters to be estimated; and f(x i, β) is the production frontier function. TE i denotes the technical efficiency defined as the ratio of observed output to maximum feasible output.
This is known as the production function. If a production set is separable then we may define a "production value function" f p (x) in terms of a price vector p. If x is a monetary quantity, then f p (x) is the maximum monetary value of output obtainable in Y from inputs whose cost is x.
Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics.Often, these applied methods are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, or other computational methods.