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25 2016.
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38.03.01 , 38.03.02
--, 2016
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65.291
, 38.03.02 38.03.01 / .. /: . . . -, 2016.- 24.
3. , .
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658
65.291
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344022, --, , 162
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, 2016
1 | |
2 | |
3 | |
3.1 ( -) | |
3.2 | |
3.3 | |
4 | |
4.1 | |
4.2 3- | |
5 | |
5.1 | |
5.2 | |
1
1. - .
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2. , , .
3. , .
4. , , . , . ().
5. () *.pdf, *.pdf.
2
, , , .
, , , . 1 .
, . 10-12 .
- . , , , .
- , 3- .
, , .
. , .
:
1
1.1 ( " - ")
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|
1.2 "-"
1.3 "-"
2
2.1 ( -)
2.2
2.3
3
3.1
3.2 3-
4
4.1
4.2
.
:
- , . /: . . . -, 2008. 50 .
3
3.1 ( -)
. : ( -), .
, .
1- - ( -). ( 1).
"-".
1) (X) (Y):
.=756 2, .=720 2;
Y.= 1005,56 . ., Y.= 971,36 . .
2) (X) (Y):
= 756-720=36 2,
=1005,56-971,36 =34,2 . .
1 -
, | , 2 | , . . |
971,36 | ||
978,96 | ||
982,76 | ||
991,31 | ||
995,11 | ||
997,96 | ||
1000,81 | ||
1002,71 | ||
1005,56 | ||
999,86 | ||
997,96 | ||
991,31 | ||
11915,67 |
3) :
b=34,2/36=0,95 . / 2.
4) :
Y=a + b*X
1005,56=+ 0,95x756, =287,36. .
287,36 . , :
287,36*12=3448,32 ..
, 0,95 ../2, 3448,32 . .
3.2
2- - . ( 2).
|
|
2 -
, | , 2 | , . . |
405,70 | ||
409,04 | ||
414,05 | ||
415,72 | ||
420,73 | ||
424,07 | ||
430,75 | ||
437,43 | ||
444,11 | ||
450,79 | ||
439,10 | ||
430,75 | ||
5122,24 |
1 :
n- .
3.
3 1
, | X, 2 | Y, . . | X*Y | X2 |
405,70 | ||||
409,04 | 66264,48 | |||
414,05 | 68318,25 | |||
415,72 | 69009,52 | |||
420,73 | 71103,37 | |||
424,07 | 72515,97 | |||
430,75 | 75381,25 | |||
437,43 | 78299,97 | |||
444,11 | 81272,13 | |||
450,79 | 84297,73 | |||
439,10 | ||||
430,75 | 75381,25 | |||
5122,24 | 885793,9 |
:
1) :
885793,9=a*2072+b*358576
5122,24=12*a+b*2072
2) , b. , 2- :
2072/12=172,66
2- :
884440,1=2072*+b*357765,3
:
1353,8=810,7*b; b=1,67 . ./2
3) , b :
5122,24=12+1,67*2072, =138,5 . .
138,5 . , :
138,5*12=1662 ..
1,67 . ./2., 1662 . .
2 :
4.
4 2
, | X, 2 | Y, . . | 2 | |||
405,70 | -12,67 | -21,15 | 267,97 | 160,52 | ||
409,04 | -10,67 | -17,81 | 190,03 | 113,84 | ||
414,05 | -7,67 | -12,80 | 98,17 | 58,82 | ||
415,72 | -6,67 | -11,13 | 74,23 | 44,48 | ||
420,73 | -3,67 | -6,12 | 22,46 | 13,46 | ||
424,07 | -1,67 | -2,78 | 4,64 | 2,78 | ||
430,75 | 2,33 | 3,90 | 9,08 | 5,42 | ||
437,43 | 6,33 | 10,58 | 66,97 | 40,06 | ||
444,11 | 10,33 | 17,26 | 178,29 | 106,70 | ||
450,79 | 14,33 | 23,94 | 343,06 | 205,34 | ||
439,10 | 7,33 | 12,25 | 89,79 | 53,72 | ||
430,75 | 2,33 | 3,90 | 9,08 | 5,42 | ||
5122,24 | 1353,813 | 810,66 |
1) X Y :
|
|
=2072/12=172,672;
Y=5122,24/12=426,85 .;
2) 4:
b=1353,813/810,67=1,67 . ./2,
3) , b , X Y:
426,85 = +1,67*172,67;
= 138,5 ..
138,5 . , :
138,5*12=1662 ..
1,67 . ./2., 1662 . .
3.3
3- . . 1200 /2. ( 5).
5
, | , 102 | , . . | , . |
34,00 | |||
48,00 | |||
41,00 | |||
27,00 | |||
62,00 | |||
76,00 | |||
55,00 | |||
69,00 | |||
104,00 | |||
83,00 | |||
97,00 | |||
90,00 | |||
786,00 |
. ( 6). 6 ( 1).
: . , 20 ..
1
:
Y=a + b*X.
6
, | , 102 | , . . | , . |
27,00 | |||
34,00 | |||
41,00 | |||
48,00 | |||
55,00 | |||
62,00 | |||
69,00 | |||
76,00 | |||
83,00 | |||
90,00 | |||
97,00 | |||
104,00 | |||
786,00 |
. , 40 2 .
:
48=20+4*b; b=(48-20)/4=7 ..
20 . , :
20*12=240 ..
, 240 ., 7 . 10 2 0,7 . 1 2.
, .
4
4.1
3 . 7. 3440 ..
7
-, 2 | , / 2 | , . | , | - , . | , . | ||
/2 | . | ||||||
- | 16937,7 | 8467,35 | 3448,32 | 11915,67 | |||
- | 3460,24 | 5122,24 | |||||
786,00 | |||||||
- | 24089,7 | - | 12473,59 | 5350,32 | 17823,91 |
:
|
|
1) ;
2) 3- .
, , .
:
VC- , ..
FC- , ..
TC=VC+FC- , ..
vc- , ../.
- , ../.
Q- , ..
mr- , ./.
MR , ..
, ..
, ..
, , :
, . , . , .
() 1%. :
( ):
:
= =24089,7-17823,91-3440=2825,79 ..
( , ):
Q=(5350,32+3440)/((24089,7-12473,59)/24089,7)=18237,18 .
:
St = ((24089,7-18237,18)/24089,7)*100%=24,3%
, 24,3%, . 24,3%, , .
:
OL=100%/24,3%=4,1%
OL =(24089,7-12473,59)/2825,79=4,1%
, 1% 4,1%.
4.2 3-
3- , 3- , . , 8790,32 . .
:
1) ;
2) ;
3) .
8.
8
, /2 | , /2 | , /2 | |||
1- | |||||
- | |||||
- | |||||
-247 | |||||
2- | |||||
- | |||||
- | |||||
3- | |||||
- | 950*0,7=665 | ||||
- | 1670*0,7=1169 | ||||
700*0,7=490 |
1- . 11765 2. 1 2
8790,32/11765= 747 /2.
2- . - :
16937,7/24089,7*100%=70%.
, 89132 - 70% :
8790,32*0,70=6153,22 .,
12 :
6153,22/8913=0,690 .=690 .
-
6216/24089,7*100%=26%.
, 20722 - 26% :
, :
8790,32*0,26=2285,48 .,
12 - :
2285,48/2072=1,103 .=1103.
:
936/24089,7*100%=4%.
, 780 2 4% :
8790,32*0,04=351,6 .,
12 :
351,6/780=0,451 .=451.
3- . 8790,32 . 12473,59 . 1 :
8790,32/12473,59= 0,7 .
3- 8.
, , , (1- ) . , .
5
5.1
, , , .
:
24089,7-936 = 23153,7 .,
:
12473,53-546=11927,53 .,
:
23153,7-11927,53-5350,32-3440=2435,85 . .
3- , 2825,79 ., , .
( , ):
Q=(5350,32+3440)/((23153,7-11927,53)/ 23153,7)=18313,17 .
, : 18237,18 . 18313,17 .. , , , .
:
St = ((23153,7-18313,17)/23153,7)*100%=20,904%
24,3% 20,9%. , 20,9%, 24,3%. , .
:
OL=100%/20,9%=4,78%
OL =(23153,7-11927,53)/2435,85=4,61%
, 1% 4,78%, 4,1%, .
3 .
5.2
, . 4- ( ) 3000 2, 2700 /2 1500 /2 :
) ;
) .
( ).
, , 11800 . 3- .
:
=(2700-1500)*3000=3600 .,
, :
= 2825,79 +3600=6425,79 ..
, , 3000 2 ( ) . 9.
9
, 2 | , /2 | , /2 | , /2 | |
- | ||||
- | ||||
3000 | 1500 | 2700 | 1200 |
(500/2) . (1200/2), , . , , - . . - :
3000-780=22202.
, . 10.
10
-, 2 | , /2 | , /2 | , /2 | , . | |
- | 6358,35 | ||||
- | 2755,76 | ||||
- | - | - | - | - | |
12714,11 | |||||
8790,32 | |||||
, . | 3923,79 |
:
= 6693*1900+2072*3000+3000*2700=27032,7 .
24089,7 .. 2943 ..
:
VC = 6693*950+2072*1670+3000*1500= 14318,59 ..
:
= 27032,7-14318,59-8790,32= 3923,79 ..
2435,85 .. 1098 ..
:
Q=FC/(Mr/)=8790,32/(12714,11/27032,7)=18702,81 ..
18237,18 . 18702,81 ., .
:
24,3%. 30,8%. , 30,8% ( 24,3% ).
:
4,1%. , 3,2%. , 1% 3,2%, 4.1%, .
, : , , , .
1. : / ... : - . . . -, 2007. 80 . 100 . ISBN 5-8265-0593-1 (978-5-8265-0593-9).