We calculate the incomplete gamma-function applying formula (4):
(
)
(
)
(
)
,
2030,640
600,640
0,057.
t
=
=
=
(6)
Thus, we have the probability for scarcity of raw material, considering (5):
(
)
(
)
30
30,640,20
0,057
Г
PX
F
=
=
(7)
Let us find the volume of supplies of raw materials, which guarantees that
probability of scarcity is not going to exceed 0,01. We have:
(
)
(
)(
)(
)
30
30,,20
,
600,
0,01
Г
PX
F
t
=
=
=
=
(8)
We find the parameter
660
=
. Therefore, if we have probability
(
)
(
)
30
0,01
PX=
for a random value
30
Xt
=
(during 30 hours), there will be
no scarcity of raw material if the volume of supply of raw materials equals 660
conventional units of value with the specified intensity of 20 conventional units of
value per hour.
Market-oriented companies determine rational combinations of all components of
production and financial activity balancing interests of producers and consumers [2].
The main tasks are to enhance the efficiency of functioning of companies via
optimizing utilization of their resources and developing prospective production
programs. The key question optimizing business is creating its production programs
considering the most rational utilization of resources. The production program relies
on resources (material, financial etc.). Application of models enables solving tasks of
forming production programs for enterprises, investing in production and helps to
implement strategic planning of business development. The successful business
development depends on marketing strategy and purchasing necessary products.
CONCLUSION
The vertical integration may have such negative consequences, as: emerging
problems of balancing the production capacity at every stage; increased risks for the
whole enterprise, as it engages in new business spheres requiring different skills and
business abilities; interdependence creating challenges to any department and
decreasing flexibility of the whole enterprise; decreasing sensitivity to market forces
and weakening control over expenses; increased time for innovative activity and
introducing new products in the market.
Horizontal integration aims at enhancing market positions via merging or
acquisition of one-profile companies. As a result, the company receives conquered
markets, skilled labor force, connections with suppliers, trademarks popular among
consumers, and positive synergy. Horizontal integration synergy is strategic
advantages caused by uniting two or more organizations within the frame of a single
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