Keywords

1 Introduction

Measures are taken in the building complex of Russia at the state level to improve the efficiency and the system for determining the costs of building products. The estimated cost of construction work includes: direct costs, overhead costs and estimated profit (The Civil Code… 1996; On approval… 2004; Taymaskhanov et al. 2012).

To ensure the effectiveness of the production of innovative products the matrix formula by Professor Kargopolov is recommended, providing transparency and accuracy of calculations of the costs of production, taking into account all the territorial conditions affecting the estimated cost of production (Kuladzhi 2014; Kargopolov 2001).

2 Methods and Materials

D.Sc.(Economics) Kargopolov in (Kargopolov 2001) showed that any economic system of economic entities can be represented as a scheme of interacting objects producing a specific product (as part of X), from which part of the output - W in the studied economic system is used inside the system, and the other - (Y) as the final product is taken outside this system. Therefore, to assess the magnitude of costs and results of the effectiveness of each such product, the entire production process П of an organization can be represented by a general structure.

Matrix formula by Professor M.D. Kargopolov is given by:

$$ \text{P} \, = \, \left( {\text{E} - \text{AT}} \right) \, {-}1*\text{DT}*\text{C} $$
(1)

where: P = ||pj||; j = \( \overline{1,n} \) – desired column vector of production (full) cost per unit of production (works, services);

E – single matrix n × n;

A = ||aij||, i = \( \overline{1,n} \), j = \( \overline{1,n} \) – matrix n × n of consumption rates of own production resources;

D = ||dij||, i ∈ L U R, j = \( \overline{1,n} \) – matrix of consumption rates of the primary resources (L – variable, R – constant),

T – transposition mark for matrices A and D.

C = ||ci||, i ∈ L U R – column vector of the wholesale and procurement prices of primary resources, and if resources are represented by value indicators in matrix D, then in matrix C these resources, respectively, should be denoted by number – 1 (one).

3 Results and Discussion

To calculate the total cost of production of reinforced concrete floor slabs using helioforms, we used actual data on labor costs and costs of materials for the manufacture of reinforced concrete floor slabs of type 10-60.12 under the conditions of Argun reinforced concrete products and structures (Table 1).

Table 1. Matrix D of consumption rates of primary resources, incl. purchased, for the production of reinforced concrete products and matrix C of wholesale procurement prices of primary resources
Full size table

Thus, Table 1 presents matrix D in such a way that it consistently (from simple to complex products – a reinforced concrete slab) reveals indicators of the consumption of materials for:

  • production of process water: 1 column;

  • steam production: 2 column;

  • production of complex binders (dry mix: cement, filler and additives “Bio-NM), made in the scientific laboratory of building department of the Grozny State Oil Technical University named after Academician M.D. Millionshchikov (Kargopolov 2001): 3, 4 columns

  • production of components of concrete mixes (dry mix: complex binders - CB and crushing residue): 5–6 columns;

  • production of 1 m3 of concrete products under solar thermal treatment: 7–8 columns.

4 Conclusions

Considering that the balance equation of the Nobel Prize winner in economics V.V. Leontiev is a macro-prediction tool for output of products at the national and world levels, the matrix formula by Professor M.D. Kargopolov should be considered as an instrument for micro-prediction of cost indicators of products of any economic entities - companies, households and other subjects, including products of cluster subjects.