mavzusidagi Respublika ilmiy-amaliy konferensiyasi
183
of a system of inequalities
{
0,1 ≤
𝐿𝑇𝐴
𝐿
≤ 2
1,25 ≤
𝑂𝐶
𝐿𝑇𝐴
≤ 2
. By multiplying the inequalities in this system, we get the
following resulting double inequality.
0,125 ≤
𝑂𝐶
𝐿
≤ 4
By combining this inequality and the inequality (
𝑂𝐶
𝐿
≥ 1 known in the practice of financial analysis,
we get the following resulting double inequality:
(
𝑂𝐶
𝐿
≥ 1) ∪ (0,125 ≤
𝑂𝐶
𝐿
≤ 4) = 1 ≤
𝑂𝐶
𝐿
≤ 4
It can be seen from this double inequality that the minimum and maximum standard values of the
indicator
𝑂𝐶
𝐿
is [1; 4] within the interval, and the minimum and maximum normative values of the indicator
𝐿
𝑂𝐶
should be within the interval [0,25;1].
6) determining the minimum and maximum quantitative standards of the indicator
𝑪𝑨
𝑶𝑪
. By
rewriting the resulting inequality (
0,1 ≤
𝐿𝑇𝐴
𝐶𝐴
≤ 1) in clause 2, we can get the following inequality: 1 ≤
𝐶𝐴
𝐿𝑇𝐴
≤ 10
This inequality can be expanded in form
1 ≤
𝐶𝐴
𝑂𝐶
∙
𝑂𝐶
𝐿𝑇𝐴
≤ 10 and based on the resulting inequality in
point 1, a system of inequalities of the following form can be obtained:
{
1 ≤
𝐶𝐴
𝑂𝐶
∙
𝑂𝐶
𝐿𝑇𝐴
≤ 10
0,5 ≤
𝐿𝑇𝐴
𝑂𝐶
≤ 0,8
By multiplying both inequalities included in this system, we obtain the following similar
resulting double inequalities:
0,5 ≤
𝐶𝐴
𝑂𝐶
≤ 8 or 1,25 ≤
𝐶𝐴
𝑂𝐶
≤ 2
It can be seen from these similar inequalities that the minimum and maximum normative values of
the indicator
𝐶𝐴
𝑂𝐶
is [0,5; 8] within the interval and the minimum and maximum
normative values of the
indicator
𝑂𝐶
𝐶𝐴
is [0,125; 2] should be in the interval.
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