scholarly journals Procedure for determining the optimal capital-labor ratio on the basis of production functions

2018 ◽  
Vol 0 (4(68)) ◽  
pp. 77-87 ◽  
Author(s):  
Oleksandr Yankovyi ◽  
Volodymyr Yankovyi
2019 ◽  
Vol 2019 (11-12) ◽  
pp. 34-48 ◽  
Author(s):  
Oleksandr YANKOVYI ◽  
◽  
Volodymyr YANKOVYI ◽  

Neglect of the issues of managing the capital-labor ratio at industrial enterprises and lack of information on the level of its difference from the optimal value are steadily leading to the irrational use of fixed assets and labor. This, in turn, inevitably manifests itself in decreasing competitiveness of individual domestic producers, their deteriorating financial situation and, ultimately, ends in bankruptcy. Thus, it is necessary to constantly monitor the occurrence of suboptimal capital-labor ratio, which is fraught with a relative overabundance of one of the most important production factors-resources and a decrease in the efficiency of using the other. The authors propose a procedure for the analytical determination of the optimal capital-labor ratio of a commodity producer using the marginal rate of technological substitution of resources based on dynamized production functions. This makes it possible to verify the scientific hypothesis of the relative redundancy of fixed assets compared to size of salary not only at the industry level, but also at individual machine-building and food enterprises. In particular, a number of agreed criteria for optimal capital-labor ratio (when the constructed production function adequately describes the time variation of the technical and economic indicators of the commodity producer) are justified and alternative management recommendations are developed in the case when the actual capital-labor ratio is not optimal at the enterprise. Testing of the developed theoretical and methodological provisions and practical recommendations at domestic enterprises in various industries showed that in recent years, enterprises of machine-building and food industry in Ukraine have seen a significant excess of fixed assets compared to labor remuneration. The actual excess of the required capital-labor ratio, that is, its sub-optimality in this period was formed under the influence of two main factors: (i) the presence at the industrial enterprises of a large amount of obsolete and worn-out technical and technological equipment that was used inefficiently; (ii) artificial understatement of the cost of the production factor “labor force”, manifested in the relatively low wages of staff remuneration of the enterprises under study.


2018 ◽  
Vol 2018 (8) ◽  
pp. 16-29 ◽  
Author(s):  
Oleksandr YANKOVYI ◽  
◽  
Volodymyr YANKOVYI ◽  

The article examines the situation of appearance of a non-optimal capital-labor ratio on the basis of a comparison of the relative speed of the dynamics of indicators of labor productivity, capital productivity and capital-labor ratio in machine building industry of Ukraine in recent years. Mathematical determination of the optimal capital-labor ratio is substantiated on the basis of production functions taking into account dynamics of the most important indicators of economic activity, presented in value terms. Methodological and applied aspects of the use of the equimarginal principle from microeconomics are discussed to determine the optimal capital-labor ratio within the limits of substitutional production functions. It is proved that at the point of optimal capital-labor ratio, the marginal rate of replacement of production factors’ substitution is equal to one. The resulting conclusion is used as a basis for development of a procedure for finding optimum capital-labor ratio using econometric models, which adequately describe the relationship of time series of product sales, basic productive assets and labor costs based on substitutional production functions. The use of the proposed procedure for determining the optimal capital-labor ratio is carried out on the example of the Cobb-Douglas-Tinbergen production function, the dynamised CES-function and the linear function. The methodological recommendations on calculation of unknown parameters are presented for these functions, as well as the formulas of optimal capital-labor ratio with indicated extreme values of products sold and the total costs for basic production assets and labor payment. The obtained theoretical results are tested according to the data of Ukraine’s machine building. The hypothesis about non-optimal capital-labor ratio in 2007-2015 is confirmed in terms of volumes of sales of the industry production. It turns out that for the analyzed period of time, the basic production assets of machine building were relatively abundant compared with the payment of labor. In 2016-2017, a positive trend begins in dynamics of the capital-labor ratio in the industry to a certain reduction and a gradual approach to the optimal value.


2020 ◽  
Vol 8 (6) ◽  
pp. 18-21
Author(s):  
Elena Basovskaya ◽  
Leonid Basovskiy

On the basis of models of production functions with an explanation level of 80-90%, built using cross-sectional data for the regions of the country, partial values of the coefficients of elasticity of labor productivity by production factors were obtained. Partial (regional) values of the coefficients of elasticity of labor productivity are calculated using the particular regression equations of models of production functions. The factors included the capital-labor ratio, wages, the price index of industrial goods, the coefficient of funds (an indicator of income inequality), the share of exports in the gross regional product. The regions are identified in which these factors have the maximum and minimum impact on labor productivity.


2009 ◽  
Vol 54 (01) ◽  
pp. 41-59 ◽  
Author(s):  
HOAN XUAN PHAM

It is shown, using a vintage model of education which is developed in this paper, that given the assumptions of the model, the optimal path of investment in education is to keep the level of investment per student constant and the optimal path of investment in physical capital is to keep the capital-labor ratio constant over time. The pressure to reduce current consumption caused by population ageing is partly mitigated by the fact that a younger population, in the current time, is relatively more efficient in producing utility than an older one, in the future.


Author(s):  
Леонид Басовский ◽  
Leonid Basovskiy ◽  
Елена Басовская ◽  
Elena Basovskaya

The updated econometric estimates of the influence of new technologies and human capital on the contribution of new technological structures to the per capita GDP in the regions of the Central and North-Western federal districts of Russia are obtained. The article estimates coefficients of elasticity of the contribution of new ways to GDP per capita by the use of the new technologies estimated by capital-labor ratio of work by new fixed assets and by the use of the human capital estimated by a share of busy workers with the higher education. In case of big sizes of coefficients of elasticity of the contribution of new ways to GDP per capita on the use of the new technologies estimated by capital-labor ratio of labor by new fixed assets it is reasonable to increase the investments into fixed assets of the region. In case of big sizes of coefficients of elasticity of the contribution of new ways to GDP per capita on the use of the human capital estimated by a share of busy workers with the higher education it is reasonable to increase, first of all, a share of workers with the highest education.


10.12737/1470 ◽  
2013 ◽  
Vol 1 (4) ◽  
pp. 3-10 ◽  
Author(s):  
Басовский ◽  
Leonid Basovskiy ◽  
Басовская ◽  
Elena Basovskaya

One of the factors that determine the productivity of labor in modern Russia is employment in the private sector. Employment in the private sector significantly reduces the productivity and efficiency of the economy. This is confirmed by econometric models developed on the basis of the regional statistics for 2001–2011. The negative impact of employment in the private sector proves that the institution of private property is inadequate in this country. The greater the negative effect of the ownership factor, the lower the capital/ labor rate in the region. As a result an institutional trap has emerged. On the one hand, to reduce the negative impact of institution of property imperfectness it is necessary to raise the capital/labor ratio. On the other hand, investments, needed to raise the capital/labor ratio, are inefficient due to that same negative effect of institution of property imperfectness on the productivity of labor. As the econometric analysis reveals, an essential factor which has heavily (up to 70%) contributed to current imperfectness and inefficiency of the private property institution is the federal policy embodied in a set of Federal laws enacted in 2005–2011.


2015 ◽  
Vol 3 (5) ◽  
pp. 17-19
Author(s):  
Басовская ◽  
Elena Basovskaya

Through econometric models construction the author evaluates the effects of capital-labor ratio and human capital, where the latter is characterized by the employees’ educational level, on profits of enterprises and organizations, operating in Russia. In 2009 the capital-labor ratio and the human capital, as estimated by the employees’ educational level, could be considered responsible for no less, than 39% of profitability of enterprises and organizations. For the most part this effect is due to the capital-labor ratio, while the lesser, though essential part of the said effect is due to the employees human capital. It is shown, that the elasticity of profit in terms of employees human capital exceeds manifold the profit elasticity in terms of capital-labor ratio, meaning that the effect of changes in human capital level on the labor productivity exceeds manifold that of changes in capital-labor ratio. Therefore, to enhance the human capital through better education of employees is more beneficial, than to increase investments in basic capital assets.


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