
This can be particularly useful when performing linear regressions. A macroeconomic production function is a mathematical expression that describes a sys-tematic relationship between inputs and output in an economy, and the Cobb-Douglas and constant elasticity of substitution (CES) are two functions that have been used ex-tensively. Solve long run production function of a firm using technical rate of substitution. CobbDouglas: Constant marginal costs and constant returns to scale. aggregate production function Cobb-Douglas New estimates of the elasticity of substitution. Cost function from CES production function. However, we will often transform this function by taking the natural log, which allows us to transform exponents into coefficients: Elasticity Cobb-Douglas production function. The general form of a Cobb-Douglas function over two goods is It takes the following form: Q(L,K) A L K L:labor K:capital.

In this section, the Cobb-Douglas form is simply derived as an algebraic transformation of the identity. The Cobb-Douglas Production Function is a particular form of the Production Function.
#Cobb douglas function plus
The Cobb-Douglas functional form was first proposed as a production function in a macroeconomic setting, but its mathematical properties are also useful as a utility function describing goods which are neither complements nor substitutes. the aggregate Cobb-Douglas function regression captures is the path of the value added accounting identity according to which value added equals the sum of the wage bill plus total profits.


Preferences and Utility Functions 4.11 The Cobb-Douglas Utility Function
