Optimization of Cobb-Douglas production functions

9th Annual Basic Science International Conference 2019

自然科学（总论）

Holida, Lely^1 ; Wardhani, Ni W.S.^1 ; Mitakda, M.B.^1

Statistic Department, Faculty of Natural Sciences, University of Brawijaya, Indonesia^1

关键词: Cobb-Douglas;    Cobb-Douglas production function;    Constraint functions;    Non-linear least squares;    Production function;    Production outputs;    Quantitative research methods;    Working capitals;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/546/5/052030/pdf
DOI  :  10.1088/1757-899X/546/5/052030

学科分类：自然科学（综合）

来源: IOP

【 摘 要 】

The purpose of this research is to know simultaneously from the influence of working capital, land area and labor. This analysis uses descriptive quantitative research methods. The data used is secondary data from the research conducted by Suryati. The data were analyzed using the Cobb-Douglas production function and estimated its parameters using Gauss Newton-Nonlinear Least Square. the optimum production function can be obtained by minimizing the function constraints, therefore the Lagrange method is used to obtain the minimum constraint function. In the results of the research it was found that the input elasticity of land area and labor affected production output. Model of Cobb-Douglas production function in onion production in Sakuru Village, Monta District, Bima Regency is Q= 5,305,000 x10.5957 x20.0766. The maximum production can be achieved with a land area of 13.19 acres and a workforce of 6 people.