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Anonymous users2024-02-08The c-d function takes a double logarithmic deformation y= a + b + which is the function ces production function, and when the coefficient approaches 1, it is transformed into the Cobb Douglas production function.
Extended data: The production function refers to the relationship between the number of various factors of production used in production and the maximum output that can be produced in a certain period of time, under the condition that the technical level remains unchanged.
It can be represented by a mathematical model, chart, or graph. In other words, it is the relationship between input and output under certain technical conditions, and when dealing with practical economic problems, the production function is not only the correspondence between input and output, but also a constraint of production technology.
For example, when considering the problem of cost minimization, it is necessary to take into account the technical constraints, which are given by the production function. In addition, in the growth theory of macroeconomics, the production function is greatly discussed when discussing technological progress.
The production function represents the maximum output that can be produced by the combination of production factors (x1, x2xn) in each period under a given level of production technology is q. In economic analysis, only two factors of production, labor (l) and capital (k), are usually used, so the production function can be written as: q=f(l,k).
Characteristics of the production function.
1. The production function reflects the quantitative relationship between input and output under the given production technology conditions. If the technical conditions change, a new production function will inevitably arise.
2. The production function reflects the maximum output that a specific factor input combination can and can only produce under technical conditions.
Classification of production functions.
The production function is divided into one variable input production function and multiple variable input production functions.
1. A variable input production function.
For a given product, the relationship between a constant technical condition, a fixed input (usually capital), a variable input (usually labor) and the maximum output that can be produced is usually called the short-term production function.
2. A variety of variable production functions.
Long-term production function.
When examined long enough, it is possible that two or more inputs can be changed, or even all inputs, often referred to as the long-term production function.
Common production functions.
1. Fixed input proportional production function.
The production function of the fixed input ratio is the production function in which the ratio between the inputs of any pair of factors at each output level is fixed.
2. Fixed substitution ratio production function.
The production function with a fixed proportion of substitution means that at each level of output, the proportion of substitution between any two factors of production is fixed.
3. Cobb-Douglas production function.
The Cobb-Douglas production function was proposed by the mathematician Cobb (and the economist Douglas (in the 30s of the 20th century. The Cobb-Douglas production function is considered to be a very useful production function because it has some properties that economists are interested in in its simple form, and it has certain significance in the analysis and application of economic theory.
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Anonymous users2024-02-07It was the mathematician Cobb and the economist Douglas.
It was proposed in the 30s of the 20th century and is considered to be a very useful production function.
The general form is: q a*l *k, q is the output, l and k are the amount of labor and capital input, and a, and are the three parameters, 0, 1
When 1, and denotes the relative importance of labor and capital in the production process, respectively, is the share of labor income in total output, and is the share of capital income in total output
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Anonymous users2024-02-06Cobb-Douglas is a careful chain production functionOriginally created by the American mathematician Cobb and economist Paul Douglas (the relationship between input and output) was created by the American mathematician Cobb and the economist Paul. h.Douglas is named after an improvement over the general form of the production function, introducing the element of technical resources.
Used for ** countries and regions.
An economic mathematical model of the industrial system or the production of large enterprises and the analysis of the way of development of production, referred to as the production function. It is one of the most widely used forms of production function in economics, and it plays an important role in the research and application of mathematical economics and econometrics.
Establishment and Application of Cobb-Douglas Production Function ModelThe Cobb-Douglas production function wide-elimination model is a widely used production function. American scientist Douglas and mathematician Cobb cooperated to study the relationship between labor input and capital input and output, and obtained the following Cobb-Douglas production function model: y=ax1b1x2b2.
The Cobb-Douglas production function modular bridge macro model is widely used in economic quantitative analysis, which is of special significance for the economic quantitative analysis of agricultural technology.
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Anonymous users2024-02-05It was proposed by mathematician Cobb and economist Douglas in the 30s of the 20th century, and is considered to be a very useful production function
The general form is: q a*l *k, q is the output, l and k are the amount of labor and capital input, and a, and are the three parameters, 0, 1
When 1, and denotes the relative importance of labor and capital in the production process, respectively, is the share of labor income in total output, and is the share of capital income in total output
-
Anonymous users2024-02-04It was proposed by mathematician Cobb and economist Douglas in the 30s of the 20th century, and is considered to be a very useful production function
The general form is: q a*l *k, q is the output, l and k are the amount of labor and capital input, and a, and are the three parameters, 0, 1
When 1, and denotes the relative importance of labor and capital in the production process, respectively, is the share of labor income in total output, and is the share of capital income in total output
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