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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 ...
The variable cost is a function of the quantity of an object being produced. The cost function can be used to characterize production through the duality theory in economics, developed mainly by Ronald Shephard (1953, 1970) and other scholars (Sickles & Zelenyuk, 2019, ch. 2).
If the production set Y can be represented by a production function F whose argument is the input subvector of a production vector, then increasing returns to scale are available if F(λy) > λF(y) for all λ > 1 and F(λy) < λF(y) for all λ<1. A converse condition can be stated for decreasing returns to scale.
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 ...
Hotelling's lemma is a result in microeconomics that relates the supply of a good to the maximum profit of the producer. It was first shown by Harold Hotelling, and is widely used in the theory of the firm.
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.
The CES production function is a neoclassical production function that displays constant elasticity of substitution. In other words, the production technology has a constant percentage change in factor (e.g. labour and capital) proportions due to a percentage change in marginal rate of technical substitution.