# Study on Indian Sugar Industry & Estimation of the Production of Sugarcane & White Sugar in the Country Using SPSS Through Cobb Douglas Model

46 Pages Posted: 25 Nov 2012

See all articles by Gaurav Kalra

## Gaurav Kalra

Shivaji College

Date Written: November 25, 2012

### Abstract

The production function is the combination of the Labour and Capital. It is really a business concept that defines the maximum rate of output approaching from specified input rates of capital and labour. The least cost capital-labour combination for the production or the output rate would yield maximum profit, and are not the objectives of this function. This function only shows that the maximum output should be obtained from any input combination. Economists use variety of functional form to describe the function, but the most frequently used function is Cobb-Douglas production function. It was proposed by Charles Cobb and Paul Douglas in 1928. It is widely used in economics because it has good properties and is representative of much production process. Almost every production manager is interested in maximizing his production. He attempts to minimize the cost or maximize production, subject to producing a specified output rate. In this sense estimation of production plays the crucial role for planning maximum production but the main problem is which procedure of estimation should be used for the forecasting of production. This problem seriously depends on the behaviour of production curve while Cobb-Douglas is a non-linear model and, therefore, the behaviour of this model is curvilinear.

In this paper, our objective is to estimate the sugar production for the years to come. All the analysis is carried by using the Statistical Package for Social Science (SPSS). This is widely used statistical package for the linear and non-linear regression analysis. The behaviour of production is normally non-linear and can be analyzed through Cobb-Douglas function. This function consists of two independent variables i.e., labour and capital. In this software linear & non-linear regression analysis can be performed via Curve Estimation procedure, but Cobb-Douglas model is analyzed through nonlinear regression menu. During the model building of Cobb-Douglas, starting values of parameters are essential to be given.

In production function Return to Scale refers to a technical property of production that examines the changes in output following proportional changes in all inputs. Usually many functions have a property called constant return to scale which means an increase of an equal percentage in all factors of production causes an increase in output of the same percentage. In the SPSS during the modelling of production function the assumption of the constant returns to scale is followed which is that the sum of parameters is an exponent (i.e., α and β) on capital and labour variables must be equal to one. Estimation procedure makes iterations & due to these iterations the models select the best parameters values for estimation.

In this study, estimated model for sugar production of the country for the collected data was found to be satisfactory with some diagnostic checks such as standard deviation of regression and coefficient of determination (R-square); all these practices followed by SPSS.

Suggested Citation

Kalra, Gaurav, Study on Indian Sugar Industry & Estimation of the Production of Sugarcane & White Sugar in the Country Using SPSS Through Cobb Douglas Model (November 25, 2012). Available at SSRN: https://ssrn.com/abstract=2180416 or http://dx.doi.org/10.2139/ssrn.2180416

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