Technical potential and its role in development of innovational economics of agricultural entities

Abstract

This paper presents a mathematical model of economic development of an enterprise with a particular point of assessment of capital-labor and ratio capital equipment accumulation conditions and their further changes depending on the strategy of the company. To construct a mathematical model of the economy's growth indicators, Solow model which adequately reflects the key aspects of the economy-wide process of expanded reproduction and helps to highlight the main features of the formal models of the dynamics is applied, as well as Shell model with applying Pontryagin maximum principle. An organization's readiness to investment processes — investment «maturity» — is seen through the current level of technical capacity and current capital-labor ratio. The substantiation of the need for a certain level of saturation of agricultural equipment in the organization as a secure mean of ensuring the optimum performance of work in the most intense phase of the production of complex planting and harvesting is provided. To construct a mathematical model reflecting the dependence of capital-labor productivity on capital-labor ratio, a mathematical model in the form of the production function of Cobb-Douglas type is suggested.