Cobbdouglas production function differentiation example youtube. The cobbdouglas production function is often used to analyse the supplyside performance and measurement of a countrys productive potential. A famous case is the well known cobbdouglas production function introduced by charles w. In addition, the input efficiencies and return to scales were computed. In economics and econometrics, the cobbdouglas production function is a particular functional form of the production function, widely used to represent the. In general, a production function is a specification of how the quantity of output behaves. Macroeconomic theory fall 2004 1 the cobbdouglas production function a first we show that it is homogeneous of degree 1. The cobbdouglas production function is the widely used function in econometrics. There can be other inputs, k and l are just examples. The cobbdouglas production function represents the relationship between two or more inputs typically physical capital and labor and the number of outputs that can be produced. The cobbdouglas production function is a particular form of the production function. For the period 19952005, the authors do not find significant difference between the calculation of the supply side of the czech economy by the cobbdouglas production function and a more. Munich personal repec archive cobbdouglas production function revisited, var and vecm analysis and a note on fischercobbdouglass paradox josheski, dushko and lazarov, darko and koteski, cane. On the cobbdouglas production function division of the.
This functional form, however, includes the assumption of a constant share of labor in output, which may be too restrictive for a converging country. Marginal product of labor and capital assume q fl, k. An assessment of ces and cobbsdouglas production functions. These functions play an important role in the economic forecasts and policy analysis of the cbo and others. That is, if l and k are each increased by 20%, then p increases by 20%. The cd production functions possess a number of important properties which have made it widely useful in the analysis of economic theories. Econ 464 example of cobb douglas production function the cobb douglas production function. The paper treats various aspects concernin g the cobbdouglas production function. It is widely used because it has many attractive characteristics, as we will see below. An application of non linear cobbdouglas production. On the one hand were h ighlighted conditions for the existence of the cobbdouglas function.
Its a commonly used function in macroeconomics and forecast production. Given the basic form of the cobbdouglas production function, well find the partial derivatives with respect to capital, k, and labor, l. The basic form of the cobbdouglas production function is as follows. For example, capital and labor can be used as a substitute of each other, but to a limited extent only. In the 1920s the economist paul douglas was working on the problem of relating inputs. Cobbdouglas production function refers to the production function in which one input can be substituted by other but to a limited extent. Properties of the cobb douglas production function.
Pdf the complete theory of cobbdouglas production function. For example, for the cobbdouglas production function q fl, k ala kb. For a given amount of labor and capital, the ratio. Douglas, although antici pated by knut wicksell and, some have argued, j.
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