Matrix Instruments for Calculating Costs of Concrete with Multicomponent Binders

The paper describes methodology for determining the costs of construction products - concrete with multicomponent binders, containing the matrix formula by Professor M.D. Kargopolov, which is recommended a modern micro-prediction tool for the production efficiency of building materials and products, allowing simultaneous calculations of their costs taking into account all the volumes of material costs: cement, fittling, components of binders, etc., as well as wage costs, depreciation etc.


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).

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: where: P = ||p j ||; j = 1; ndesired column vector of production (full) cost per unit of production (works, services); Esingle matrix n Â n; A = ||a ij ||, i = 1; n, j = 1; nmatrix n Â n of consumption rates of own production resources; D = ||d ij ||, i 2 L U R, j = 1; nmatrix of consumption rates of the primary resources (Lvariable, Rconstant), Ttransposition mark for matrices A and D. C = ||c i ||, i 2 L U Rcolumn 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).

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).
Thus, Table 1 presents matrix D in such a way that it consistently (from simple to complex productsa 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 m 3 of concrete products under solar thermal treatment: 7-8 columns.
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  Open Access This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this chapter are included in the chapter's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.