The experimental problem of planning the size of a coal mine

Abstract

1. A feature of the coal industry and its mining branch is the close dependence of the economic consequences of the work of a coal-winning enterprise on the natural conditions and on its standard capacity, which together determine the expenditure of the sphere of production and the initial sum invested. To satisfy its rising fuel needs, socialist society also uses for working coal enterprises with closing level of expenditure of the sphere of production, as a result of which the differential mining profit also arises. In the extensive sequential economic calculations of socialist enterprises, based on commercial monetary relations, the differential mining profit preserves its classical form, but with a new socialistic content. 2. An important economic problem in the national economy is universal increase in the economic effectiveness of investment, which is attained, first, by controlling capital investment on leading exploitation of mineral fuel resources with high profit merits; and secondly, by optimum planning of enterprises for developing a given resource. 3. The optimum capacity of a mining enterprise is determined not only by the absolute mass of the differential mining profit produced for the national economy, but also by the investments in industrial funds necessary for this; thus arises the criterion of optimization of the planning decisions, expressed as maximization of the gradient of the differential mining profit, as the ratio of its mass to the borrowed capital investment. 4. The proposed economic-mathematical model of a pit is dynamic, because it organically incorporates the time factor in estimating the sum of initial and subsequent investments and rent sums, which is effected with the aid of the operators Y in formula (4a), p in (7a), and H in (9a)