The Use of Economic and Mathematical Methods When Analyzing the Activities of Enterprises



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303-Article Text-1070-1-10-20210913 (1)

 
ISSN 2697-2212 Online: 
ISSN 2697-2212 (online), Published under Volume 9 in September
Copyright (c) 2021 Author (s). This is an open
under the terms of Creative Commons Attribution License (CC BY).To view a 
copy of this license, visit https://creativecommons.org/licenses/by/4.0/
used, raw materials, equipment, etc.).
The resource resources (guest, funds, and materials) that unite the Convention are divided into 
several boundaries (any category of guest, different equipment). We define resource savings with 
a vector-column 
,
(
2
1
x
x
x
=
that represent the consumption of resources and the availability of product quantities:
)
(
x
F
X
=
(1) 
F (x) is assumed to be a continuous, neoclassical function wh
found, and its second derivative matrix is negative.
If the product price is 
p
written as follows and the profit is obtained:
wx
x
pF
x
П

=
)
(
)
(
(2) 
where: 
)
,...,
,
(
2
1
n
w
w
w
w
=
-
The cost of resources has a natural and definite meaning if 
workers of a certain qualification 
material (fuel energy, etc.), then 
a) If -production funds, then 
funds. 
b) where 
)
(
Fx
p
pX
R
=
=
cost of production or resources.
Unless other factors affect the amount of resources
follows: 
{ }
[
]
wx
x
pF
x


)
(
max
0
(3) 
This is a nonlinear programming problem, and the Kun
0

x
problem: 
0
0
=








=


=
x
w
x
F
p
x
x
п
w
x
F
p
x
п








If resources are used in the optimal solution 
w
x
x
F
p
=


*)
(
(5) 
ёки
j
w
x
x
F
p
j
j
2
,
1
,
*)
(
=
=



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