This article considers issues the effectiveness identifying the reserves of production in the agricultural sector of the economy. Discusses the possibility of determining the marginal product in a multifactor production functions, the relationship of the distribution of the total social product. A purposeful study of the factors in the process of economic analysis allows to reveal reserves of production, as in every trade there are some unused opportunities to improve production efficiency, improve quality, improve the work. They are called reserves and production are divided into clear, visible, which only need to operate in the interests of production, and the hidden, reveal that by using technoeconomic analysis, because such reserves are primarily untapped opportunities as factors. The article also considers socioeconomic resources associated with the improving economic and moral incentives, to improve the conditions and content of work, using human factor, strengthening of the role of labor collectives in the organization and management of production. At the present stage of market transformations the special importance of maximizing the potential for improving the efficiency of production depends on what is changing are the main factors of economic growth.
Currently, the main problem of Kazakhstan economy – improving innovation effectiveness. At this stage the performance in the industrial policy at the expense of technology transfer and creation of innovation infrastructure is quite obvious. Links, created to facilitate the implementation of new ideas in production, still does not give the desired effect. Open the development Bank of Kazakhstan, Investment and Innovation funds, Fund of support of small business, Center of marketinganalytical research, science Fund, venture capital funds, a number of technology parks, University research laboratories. Put the space, it, nuclear, nano, and biotechnology.
Investment projects in the agricultural sector in 2017
Table 1
Investment projects in the agricultura 
sector in 2017 

Projects The industrialization map 
3 Projects 
27 969 million tenge 
The project is implemented through JSC «KazAgro» 
2 Projects 
23 360 million tenge 
Projects implemented outside of the industrialization Map tools 
36 Projects 
9850 million tenge 
Projects with participation of foreign investor 
1 Projects 
15100 million tenge 
All 
42 Projects 
55255 million tenge 
Note. Compiled by the authors.
On the Table 1 investment projects in the agricultural sector in 2017, there were 42 projects worth 55255 million tenge. In Karaganda region the investment project is considered Table 2 [1].
Investments in fixed capital of agriculture
Table 2
Investment in fixed capital. thousand tenge 
2016 (fact) 
2017 

fact 
% to the corresponding period usamu 2015 
yearly plan 
Fact (Jan.) 
Fact January 2017 January 2016 

1 
2 
3 
4 ~~ 
5 ~ 
6 
Abay 
820550 
124,0 
1019084 
15162 
14,0 
Aktogay 
871558 
830,8 
1082431 
End of Table 2
1 
2 
3 
4 
5 
6 
Bukhar Zhyrau 
2965256 
152,6 
3607700 
22214 
85,0 
Zhanaarka 
98111 
31,7 
121849 
10896 

Karkaraly 
108395 
34,7 
134621 

Nura 
1615398 
111,5 
2006244 
286811 ' 

Osakarovka 
2104930 
113,3 
2614218 
36815 

Ulytau 
75150 
93333 

Shet 
354041 
84,0 
439701 

Karaganda 
40689 
20 
50534 
41 ' 

Temirtau 
4291 
11 
5329 

Saran 
72945 
90594 

Shakhtinsk 
15020 

Priozersk 
15000 

Balkhash 
15000 

Karazhal 
15000 

Zhezkazgan 
23626 
29342 

Satpayev 
15000 

Karaganda region 
9154940 
125 
11370000 
371935 ' 
185,0 
Note. Compiled by the authors.
Of course, quick results should be expected. However, the structure of the national economy, if changing, primarily due to industrial production. It should be noted that more than 65.5% of costs for innovative investments accounted for budgets of enterprises. These costs are brought at least 79 billion tenge of innovative products. The remaining 41.1 billion. tenge associated with the other factors [2].
However, the year 2017 has forced the domestic agricultural sector to pass a certain test to ensure the country's food supply. Because food prices rose more than 1.8 percent. In addition, while the unsatisfactory level of development of market infrastructure have deteriorated markedly productive assets of agricultural enterprises. An important problem is the financial instability of the industry. Continued migration of the rural population. Is the low security of the village with qualified personnel. In recent years aggravated the problem of structural and technological modernization of the sector. The rate of reproduction of natural ecological potential and renewal of basic production assets low. Security main types of equipment of agriculture of the Republic of Kazakhstan is several times lower than in developed agricultural countries [1].
In this regard, it is necessary to find solutions to identified problems. To this end, the establishment of mechanisms for sustainable economic growth in the country's agriculture and improve the economic performance of agricultural enterprises becomes a priority of economic policy.
As you know, still to assess the performance of individual agricultural businesses is mainly used a simple method variance. About the quality of work is judged by indices x_{0}_{i}  X_{0} i = 1, 2,..., n, where xoi — actually achieved value of the resultant variable (yield, average milk yield, the revenues per 100 ha, etc.) in the ith household; X_{0} — is the arithmetic average value of the same characteristic in the aggregate; n — number of comparable companies. Enterprise for which the deviation value is positive, are recognized as working well; having a negative deflection — the running bad. Grading of assessment (normal, good, fine; weak, not satisfactory, bad etc.) is set according to the absolute value of the deviations ∣x_{0}_{i}.  X J.
In this formulation, method variance is to identify and evaluate differences x_{0}_{i}  x_{0i}, where x_{0i} — the calculated (theoretical) value of the resultant variable obtained by consideration of the most important factors of production for the ith enterprise.
Simplistically, value x_{0i} can be calculated even without the use of economicmathematical methods, such as group averages of the combined groups on the basis of standard calculations, etc. However, if the number of aggregated factors of more than two, their impact on the productive criteria is most appropriate to study using regression analysis, as discussed in the first Chapter of this study.
To do this, we construct a model x_{0}=f(x_{1}; x_{2}; ...; x_{k}), where x_{1}; x_{2}; x_{k} — the main factors of production. It is often called the production function.
Some researchers impose very stringent demands on models of the relationship, believing that the model of the wealthy and healthy only when it contains all the basic factors of production without exception. In the limiting case of this concept leads to the concept of the «ideal production function». As the latter, in practice, indefinable, a real life relationships are seen as to some extent offset display perfect function.
Such approach allows to avoid simplistic and superficial approaches to solving the problem, but it can lead to the separation of production functions from the traditional economic indicators and calculations.
Limiting «factors» complexity of the models, which would be real from the point of view of economic theory, readiness of developers and computational capabilities of computers are likely to be the volume, accuracy and precision of the original data. For this reason, the number of factors in multivariate regression equation is usually in the range from 3 to 8.
In addition, you should consider the level of training of specialists of the industry, which are mainly developed statistical materials. For availability analysis is often necessary to choose a linear form ties.
The main objective of the analysis is an objective assessment of each enterprise. Therefore, all deviations of the actual data from the arithmetic mean should be split into two groups. The first will include those which are explained by various objective factors of production. These factors in turn can be represented as the deviation of actual levels from the average of the aggregate: (x_{u}  x_{1}), (x_{2i}  x_{2}), ..., (x_{ki}  x_{k}) . If the form of communication is linear, then explained part of the variance of the effective feature can be represented by a sum of products
Σbj (x_{j},  Xj), i = 1,2,...,n, (1)
j=1
where bj — is the coefficient of the multivariate regression of the jth factor; k — is the number of factors in the equation.
The coefficients of the multivariate regression equations characterize the relatively pure effect of the factors with (k1)th level of conditionality. Individual work b_{j}(x_{ji}  x_{j}) characterizes the average deviation of the effective feature from the arithmetic mean due to the variance of the jth factor from their arithmetic mean value.
The calculated (theoretical) value for the resultant variable is defined by the formula
k
^0i∙ = X) + ∑bj(Xj_{1}  Xj), i = 1,2,...,n. (2)
j=1
The second group consists of those deviations that cannot be explained using multivariable regression. They are determined by subtracting from actual values of the effective feature corresponding to the calculated (theoretical) value x_{0}_{i}  x_{0}..
If the deviations x_{0}_{i}  x_{0}_{i}. are the basis of evaluation of work of the enterprise or industry, the regression equation should include all the factors that affect the production results but which are not weakly amenable or amenable to management at the level of the enterprise or industry. Organizational or subjective factors of production are manageable at this level, the equation should not be included even if: they are known; available necessary to describe the original data; their recording would significantly increase the overall correlation coefficient. Failure to comply with the last premise leads to a distortion of the economic content of the deviations x_{0}_{i}  x_{0l}.
In particular, in the detection of reserves of increase of efficiency of agricultural production need to keep in mind that yields of the main crops is one of the most important indicators of crop development and, to a large extent, the results of operations as a whole. Yield is a complex biological and economic characteristics, the magnitude of which is influenced by both natural and economic, and organizational factors. Therefore, the study of the influence of the main factors of production on yield has a special importance.
These and other similar challenges arose and were put before the people for a long time. Despite this, agricultural Economics, and to date, has not yet sufficiently accurate methods of calculating the level of planned targets not only in the long term, but for the coming year. In agriculture, these unresolved problems are many and also appear new. Consequently, it is important to develop new methods and techniques for their solution [2].
It is known that only through the study of causal relations is the knowledge of the universal connection of phenomena occurring in nature and society. In the Economics of agricultural production relationsmanifests itself everywhere, which are also caused by. For example, the value of the yield is influenced by the availability of moisture and nutrients in the soil, seed quality, level of farming, etc.; the animal productivity is affected by their age, breed, level of feeding, system maintenance, etc.; the unit cost is subject to factors such as productivity (productivity), the level of mechanization, etc. Yield, productivity, cost and factors affecting them quantitative side, act as variables, the relationship between them in General form can be expressed by the equation:
Y = f (X_{1}, X_{2},..., X_{n} ∖ (3)
where Y — is the resultant characteristic (the dependent variable); X_{1}χ_{2}, . . ., X_{n} KHPfactorial traits (independent variables) influencing the result of production.
The first attempts of practical application of production functions in agriculture belong to the XIX century, in 1840 the famous German chemist J. von Liebig put forward the theory of mineral nutrition of plants, which largely contributed to the introduction of mineral fertilizers in agriculture. Using the idea that crop yield (y) is determined by the factor that is in minimum, the von Liebig fertilizer efficiency was modeled by the following production function:
y = ax, (4)
where x is the amount of mineral fertilizers; a  influence of fertilizers on yield [2].
But crops are known to bring a certain crop without fertilizers. So it was later introduced a constant (C) and the model took the form
у = с + ах. (5)
Over time, the production function (5) detailed the types of fertilizers and it became a multifactor:Over time, the production function (5) detailed the types of fertilizers and it became a multifactor
y = c + a_{l} x_{1} + a_{2} x_{2} +... + a_{n}x_{n}, (6)
where n is the number of types of used fertilizers.
But the production function (6), despite the modification, did not meet the requirements. In particular, it did not predict the maximum level of crop yields. Joint research agronomists, mathematicians and statisticians has led to the emergence of a number of more complex dependencies.
In particular, at the time, gained fame production function Mitscherlich of Spielman, which was proposed in 1909:
y = M  AR^{x}, (7)
where M — is the maximum crop yield; A — the most responsiveness culture for fertilizers; R — the rate of reduction in the efficiency of fertilizer; x — amount of fertilizer.
Production function MitscherlichSpielman was more perfect, but also not devoid of certain drawbacks.
British researchers IETS and Crowther as a result of processing of the experiments on fertilization in England in 19001914 he received a production function that has the form
y=y_{0} +A(110^{}^{kx}), (8)
where y — yield crops; у0 is the yield per unit area sown without fertilizer; A — max imum yield increase from fertilizers; K — is a constant for each type of fertilizer.
The number of known modifications of the function of Atsa and Crowther, but they rarely yield acceptable results [2].
This is because all of the above production function yield are unilateral in the sense that they take into account only fertilizer. The level of productivity of agricultural crops depends not only on the quality and quantity of deposited mineral and organic fertilizers, but also from a number of other factors. A great influence on the yield from 1 ha of crops are caused by meteorological conditions and especially the availability of moisture, soil fertility, seed quality, level of farming, etc.
Significant research on the impact of meteorological factors was performed by the famous Russian statistician, V. M. Obukhov. In the course of the study were obtained production function characterizing the dependence of the yields of rye grain (y) the amount of moisture at certain periods of the growing season. This function had the following form:
У=5,9766 + 0,2452 x1 + 0,1506х2 + 0,2989х3 + 1,3004х4 +
+0,2770х5 +0,0186х6 +0,5040х7 + 0,3059х8 0,2233х9, (9)
where x1 is the amount of winter precipitation, including late autumn and early spring; х2 — the presence of moisture in the early growing season of rye; х3 — the amount of moisture in the subsequent time; х4, х5 — availability of moisture in the initial and end periods, output of rye in the tube; х6, х7, х8 х9 — amount of moisture, respectively, in the heading, flowering, rye, during the grain formation and during its maturation.
Given a production function with high enough accuracy for practice simulated dependence of productivity from the level of moisture in a separate growing periods.
We set out the main stages of development of studies on the use of production functions in order to plan crop yields. But the same phases is the use of these functions and solve other important issues of agricultural production.
References
 Investicionnye proekty v sfere APK v 20102017 hody [Investment projects in the agricultural sector 20102017]. krgagri.kz. Retrieved from http://www.krgagri.kz/ [in Russian].
 Maly'khin, V.I. (1998). Matematicheskoe modelirovanie ekonomiki [Mathematical modeling of the economy]. Moscow: Izdatelstvo URAO [in Russian].