Page 15 - 6880

outcomes 2,5%), transport work, respectively, 24% and 4.1%, auxiliary kinds of
work, respectively, 34,6% and 1,7%.
Task 2.12 The overall risk of death during drilling is 0,008, and the risk of
death during the performance of tripping process (drilling tool round trip
operation) is 0,002. Determine the risk of death of workers in the process of
implementation other operations during drilling.
Task 2.13 Determine the optimal expenses on occupational safety and
improving technical systems, and determine the minimal risk value of appearance
of hazardous situation in a process of drilling work, accordance to this expenses.
The values of social and economic risk and expanses on occupational safety E are
connected by ratio:
R  А Е  m ; R SЕ  C  Е n .
Т

Solve the task in a graphical way, for this – you should change the expenses
E on occupational safety in the range from X to Y UAH by steps of Z. After that
you should refine and check results of solving the task by using the theory of the
function extremum.
Data should be taken from table 2.1 in accordance with the number of
variant.

Table 2.1 - Date for solving Task 2.13

Initia Variant
ldata 0 1 2 3 4 5 6 7 8 9 10

A 38 5·10 6 42 5,5·10 6 46 55·10 6 50 5·10 7 500 4·10 6 48

6·10 -13 2,5·10 -22 8·10 -13 5·10 -22 3·10 -13 5·10 -20 2,2·10 -12 5·10 -19 2,5·10 -12 5·10 -12 10 -14
C

m 2 4 2 4 2 4 2 4 2 4 2

n 2 4 2 4 2 4 2 4 2 4 2

1000 2000 1000 2000 1000 1500 1000 1000 2000 1000 5000
X

5000 6000 5000 6000 5000 3500 5000 3000 6000 3000 12000
Y

Z 500 500 500 500 500 250 500 250 500 250 2000

15