- '

'

2010

1. , , -12

2. .

3. -12, .

4. .

5. .

6. .

7. .

8. -12.

9. .

10. -12 .

ղͲ Ͳ

:

-1 () - 5 . ;

-2 () - 8 . ;

-3 () - 9 . .

:

-4 ( -12) - 8 . ;

-1 - 2 . ;

³

³ :

() - 48% ( - 30%);

() - 50,2% ( - 15%);

() - 1,8% ( - 10%).

:

= 2,7;

= 1,1;

= 8

:

= 85 ;

= 100 ;

= 110 .

: = 0,5.

̳ : 0,003 .

' () : = .

1. Ʋ

2. ֲ ˲Ͳ

1.

1.

-1 5000 10000 - 14999

- 8000 20000 - 27999

- 9000 30000 - 38999

-4 -12

-1

8000

2000

40000 - 47999

48000 - 49999

3. -12

2.

4.

:

ti = ai Pi (tco + n tn + tc + t + Ti + to), tco = 3 c;

n = 5;

t = 1,5 c;

t = 0,8 c;

t = 7 c;

tc to.

A = f () (.2 [2]) :

= 85 a = 1,23;

= 100 a = 1,19;

= 110 a = 1,18.

t = 1,23 0,5 (3 + 5 1,5 + 7 + 90) = 66,11

t = 1,19 0,5 (3 + 5 1,5 + 7 +100) = 69,91

t = 1,18 0,5 (3 + 5 1,5 + 7 + 110) = 75,22

t = 1,23 0,5 (3 + 5 0,8 + 7 + 90) = 63,96

t = 1,19 0,5 (3 + 5 0,8 + 7 +100) = 67,83

t = 1,18 0,5 (3 + 5 0,8 + 7 + 110) = 73,16 .

. 2. -12.

TCE -

ASM -

ISM -

DTM -

DLM -

IPTM -

IRIM - IRSU

HCCM -

DTUB -

MIM - 䳿 '

DIAM -

SCM -

ESM -

TTM -

OIM -

DCM -

CTM -

P & L -

. :

N = N4 K (1 - ) = 8000 0,48 (1 - 0,3) = 2688;

N = N4 K = 8000 0,48 0,3 = 1152.

:

N = 8000 0,502 (1 - 0,15) = 3414;

N = 8000 0,502 0,15 = 603.

:

N = 8000 0,018 (1 - 0,1) = 129;

N = 8000 0,018 0,1 = 14.

,

Yi = Ni i ti / 3600, .

:

Y = 2688 2,7 66,11 / 3600 = 133,28 ;

Y = 1152 2,7 63,96 / 3600 = 52,26 .

:

Y = 3414 1,1 69,91 / 3600 = 72,93 ;

Y = 603 1,1 67,83 / 3600 = 12,5 .

:

Y = 129 8 75,22 / 3600 = 21,56 ;

Y = 14 8 73,16 / 3600 = 2,28 .

.

Y' = Y + Y + Y + Y + Y + Y = 133,28 + 52,26 + 72,93 + 12,5 + 21,56 + 2,28 = 294,81 .

.2

2.

/

i a

T i, c.

t i, c.

N i

Y i,

.

1. 0,5 1,23 85 66,11 2688 133,28

63,96 1152 52,26

2. 0,5 1,19 100 69,91 3414 72,93

67,83 603 12,5

3. 0,5 1,18 110 75,22 129 21,56

73,16 14 2,28

: 8000 294,81

j = t / T

j = 0,9.

j = 0,95.

, :

Y = 0,9 Y' = 0,9 294,81 = 265,33 .

, :

1. :

Y = 0,03 Y = 0,03 265,33 = 7,96 .

2. . :

h = (N / N) 100% = (8000/30000) 100 = 26,66%.

.4 [2] h = 43,59% :

Y = Y h / 100 = 265,33 43,59 / 100 = 115,66 ,

3. .

̳ :

Y = 0,003 .

:

Y = N Y = 8000 0,003 = 24 .

:

Y, = Y- Y- Y- Y = 265,33 - 115,66 - 7,96 - 24 = 117,71 .

, , , :

Y'j = Y' Nj / N.

, Y'j, Yj, Yj, Yj, Yj, Yj, .

-3

Y'3 = Y' N3 / N = 294,81 9000/8000 = 331,66 .

Y3 = 0,95 331,66 = 315,08 .

Y3 = 0,03 315,08 = 9,45 .

Y = 0,003 9000 = 27 .

h = (9000/30000) 100 = 30%

.4 [2] h = 46%

Y33 = 315,08 46/100 = 144,94 .

Y3, = 315,08 - 144,94 - 9,45 - 27 = 133,69 .

-2: Y'2 = 294,81 8000/8000 = 294,81 .

Y2 = 0,9 294,81 = 265,33 .

Y2 = 0,03 265,33 = 7,96 .

Y = 0,003 8000 = 24 .

h = (8000/30000) 100 = 26,66%

.4 [2] h = 43,59%

Y22 = 265,33 43,59 / 100 = 115,66 .

Y2, = 265,33 - 115,66 - 7,96 - 24 = 117,71 .

-1: Y'1 = 294,81 5000/8000 = 184,26 .

Y1 = 0,9 184,26 = 165,83 .

Y1 = 0,03 165,83 = 4,97 .

Y = 0,003 5000 = 15 .

h = (5000/30000) 100 = 16,66%

.4 [2] h = 35,03%

Y11 = 165,83 35,03 / 100 = 58,09 .

Y1, = 165,83 - 58,09 - 4,97 -15 = 87,77 .

-1: Y' = 294,81 2000/8000 = 73,7 .

Y = 0,9 73,7 = 66,33 .

Y. = 0,03 32,21 = 1,99 .

Y = 0,003 2000 = 6 .

h = (2000/30000) 100 = 6,67%

.4 [2] h = 22,01%

Y, = 66,33 22,01 / 100 = 14,6 .

Y, = 66,33 - 14,6 - 1,99 - 6 = 43,74 .

, .3

3.

/ .

Y j,

.

h ,

%

h,

%

Y jj,

.

Y j,

.

Y j,

.

Y j, ,

.

1.

2.

3.

4.

5.

-1

-2

-3

-4

-1

5000

8000

9000

8000

2000

165,83

265,33

315,08

265,33

66,33

16,66

26,66

30

26,66

6,67

35,03

43,59

46

43,59

22,01

58,09

115,66

144,94

115,66

14,6

4,97

7,96

9,45

7,96

1,99

15

24

27

24

6

87,77

117,71

89,75

117,71

43,74

, , :

Yij = Yi, (Yj, / Yj, - Yi, ), m - .

-1:

Y1-2 = Y1, Y2 / (Y2 + Y3 + Y4 + Y, ) = 87,77 117,71 / 368,91 = 28 .

Y1-3 = Y1 Y3 / (Y2 + Y3 + Y4 + Y, ) = 87,77 89,75 / 368,91 = 21,35 .

Y1-4 = Y1 Y4 / (Y2 + Y3 + Y4 + Y, ) = 87,77 117,71 / 368,91 = 28 .

Y1- = Y1, Y, / (Y2 + Y3 + Y4 + Y, ) = 87,77 43,74 / 368,91 = 10,41 .

-2:

Y2-1 = Y2, Y1 / (Y1 + Y3 + Y4 + Y, ) = 117,71 87,77 / 338,97 = 30,48 .

Y2-3 = Y2 Y3 / (Y1 + Y3 + Y4 + Y, ) = 117,71 89,75 / 338,97 = 31,17 .

Y2-4 = Y2 Y4 / (Y1 + Y3 + Y4 + Y, ) = 117,71 117,71 / 338,97 = 40,88 .

Y2- = Y2, Y, / (Y1 + Y3 + Y4 + Y, ) = 117,71 43,74 / 338,97 = 15,19 .

-3:

Y3-1 = Y3 Y1 / (Y1 + Y2 + Y4 + Y, ) = 89,75 87,77 / 366,93 = 21,47 .

Y3-2 = Y3 Y2 / (Y1 + Y2 + Y4 + Y, ) = 89,75 117,71 / 366,93 = 28,79 .

Y3-4 = Y3 Y4 / (Y1 + Y2 + Y4 + Y, ) = 89,75 117,71 / 366,93 = 28,79 .

Y3- = Y3 Y, / (Y1 + Y2 + Y4 + Y, ) = 89,75 43,74 / 366,93 = 10,7 .

-4:

Y4-1 = Y4 Y1 / (Y1 + Y2 + Y3 + Y, ) = 117,71 87,77 / 338,97 = 30,48 .

Y4-2 = Y4 Y2 / (Y1 + Y2 + Y3 + Y, ) = 117,71 117,71 / 338,97 = 40,88 .

Y4-3 = Y4 Y3 / (Y1 + Y2 + Y3 + Y, ) = 117,71 89,75 / 338,97 = 31,17 .

Y4- = Y4 Y, / (Y1 + Y2 + Y3 + Y, ) = 117,71 43,74 / 338,97 = 15,19 .

-1:

Y-1 = Y, Y1 / (Y1 + Y2 + Y3 + Y4) = 43,74 87,77 / 412,94 = 9,3 .

Y-2 = Y, Y2 / (Y1 + Y2 + Y3 + Y4) = 43,74 117,71 / 412,94 = 12,47 .

Y-3 = Y, Y3 / (Y1 + Y2 + Y3 + Y4) = 43,74 89,75 / 412,94 = 9,51 .

Y-4 = Y, Y4 / (Y1 + Y2 + Y3 + Y4) = 43,74 117,71 / 412,94 = 12,47 .

5. IJ

(. 4). .

4.

-1 -2 -3 -4 -1

Y ij

-1 58,09 28 21,35 28 10,41 4,97 15 165,82

-2 30,48 115,66 31,17 40,88 15,19 7,96 24 265,34

-3 21,47 28,79 144,94 28,79 10,7 9,45 27 271,14

-4 30,48 40,88 31,17 115,66 15,19 7,96 24 265,34

-1 9,3 12,47 9,51 12,47 14,6 1,99 6 66,34

15 24 27 24 6 - - 96

Y ij 164,82 249,8 265,14 249,8 72,09 32,33 96 1129,98

. (.3)

. 3.

' tco :

t = tco + n t

tco :

t = tco + 2 t

':

t = tco + t + tco + 0,5 8 t + 0,5 10 t = 2 tco + 10 t

:

Y = ( / t) ((Y, + Y) t + Y t + Y t)

t-

,

t = Y' / (Nk Ck + N C + N C);

- , , :

= (Y, + Y, + Y, ) / Y'

³

t = 3 + 5 0,8 = 7 .

t = 3 + 2 0,8 = 4,6 .

t = 2 3 + 10 0,8 = 14 .

t = 294,81 3600 / (4017 1,1 + 3840 2,7 + 143 8) = 66,62 .

= (52,26 + 12,5 + 2,28) / 294,81 = 0,23

Y = (0,23 / 66,62) ((117,71 + 115,66) 7 + 7,96 4,6 + 24 14) = 6,93 .

, , n1, , :

t = (n - n1) t = (5 - 1) 0,8 = 3,2

n1 = 1 ' .

:

Y = (t / t) (Y4 + Y4) = (3,2 / 66,62) (228,41 + 215,71) = 21,33 .

6. ˲ ˲Ͳ

, ' : = 0,01 ; = 0,005 , = 0,002 = 0,001 .

V4-2 = E (Y4-2; 0,01) = E (53,35; 0,01) = 67

V4-3 = E (Y4-3; 0,01) = E (40,68; 0,01) = 53

V = E (Y; 0,005) = E (30; 0005) = 44

V = E (Y; 0,002) = E (30; 0002) = 46

V = E (Y; 0,001) = E (9,95; 0,001) = 21

' .

V4-1 + V1-4 = E (Y4-1 + Y1-4; 0,01) = E (39,78 + 38,41; 0,01) = 94

-4 = 0,001

V4- + V-4 = E (Y4- + Y-4; 0,001) = E (51,74 + 57,49; 0,001) = 139

' = 0,01 = 10.

V3-4 = a Y3-4 + b = 1,58 39,49 + 2,9 = 66

³ . ò 80120400 q = 2 :

Dmin = q (m- n + 1) = 2 (20 - 13,3 + 1) = 15,4

, b = 0,65 .

= Q (m- bn) = 2 (20 - 0,65 13,3) = 22,7

Q = 0,75

D = Dmin + Q (-Dmin) = 15,4 + 0,75 (22,7 - 15,4) = 20,88

d = 20,88 = 0,01 ', a = 1,24 b = 5,1 Y = 56,07 .

V2-4 = 1,24 56,07 + 5,1 = 75

, -4,

V4 + V4 = V4-1 + V4-2 + V4-3 + V + V + V + V4- + V2-4 + V3-4 = 94 + 67 + 53 + 44 + 46 + 21 + 139 + 75 + 66 = 605

30 , :

Nij = uVij / 30e, ue .

.5.

V4-j + Vj-4, - N4-j.

5

-1 -2 -3

4 94 67 + 75 53 + 66 44 + 46 21 139 511

4 5 4 3 1 5 22

7. IJ .

, .

N = N4 -j = 22.

() 128 , .

N = u N / 128 e = u 8000/128 e = 63.

= 0,001 .

= (0,001) = (6,93; 0,001) = 17;

= (0,001) = (21,33; 0,001) = 37.

30 , :

= U / 30e + 1 = u17 / 30e + 1 = 2

= U / 30e + 1 = u37 / 30e + 1 = 3

Yc , .

Yc = 30 4,

- , :

= (+) / Vj = (228,41 + 215,71) / 605 = 0,73 .

Yc = 0,73 30 4 = 88,1 .

20%

Yc = 88,1 1,2 = 105,71 .

, , 159 .

, , 20% .

= Y / (Y1 128 1,2) = 105,71 / (0,06 128 1,2) = 11,47

Y1 = (Y + Y4) / N4 = (265,33 +294,8) / 8000 = 0,06 . - , .

:

= / 8 = 63/8 = 8

(). , :

= U / 4e = u22 / 4e = 6

. :

= U (+) / 4e = u (8 + 6) / 4e = 4

, , . 8 [2].

. 8 [2] : = 8, = 0.

() . :

- ,

- ,

- ' ,

- ,

- .

V.

:

1) - V,

2) - V,

3) - V,

4) - V,

5) - V,

6) - V,

7) - V.

,

V1 = V + V + VAT = [(Y + Y4) 1,3 / 6,15 + Y4 / 14 + (Y + Y4) / 21] / t = ((265,33 + 215,71) 1 , 3 / 6,15 + 215,71 / 14 + (265,33 + 215,71) / 21) / 66,62 = 2,1

- V1 = 3.

' :

V2 = V + V + V = (Y / 15+ Y / 23,7 + Y4 / 21) / t = (265,33 / 15 + 265,33 / 23,7 + 215,71 / 21) / 66,62 = 0,59 => 1

:

V3 = V + V = 1 + 1 = 2.

:

V = 2;

V = 2;

V = 2;

V = 2.

:

V = V1 + V2 + V3 + V + V + V + V = 3 + 1 + 2 +2 +2 +2 +2 = 14.

8. ֲ

.4 -4 8000 , 63 , 8 , 22 , 6 . , 4 8 . 1 .6.

6.

8 8 8 8 8 8 8 7

4 4 4 4 2

0 1 2 3 4 5 6 7 8 9 10 11 12 13

1 0 1 2 3

8 : 4 (0, 1, 2, 3) -1;

9 : 4 (4, 5, 6, 7) -3;

10 : 4 (8, 9, 10, 11) -2;

11 : 1 (12) -2;

3 (13, 14, 15) ;

12 : 4 (16, 17,18,19) -1;

13 : 1 (20) -1;

1 (11) .

. 4.

9. ̲

-4 .7.

7.

1,2

(4 + 8) 3 = 36 8 + 6 = 14 63 19 5 14

0.04 1 8

1.04 1 8

2.04 1 8

3.04 1 8

4.04 1 8

5.04 1 8

6.04 1 8

7.04 1 7

8.J03 12 2 8 1 2

9.J03 12 2 7 2 2

10.J03 12 2 7 2 2

: 1 3 = 36 14 2 = 28

10. ̲ -12 ˲

. 5.

˲

1. .. : .- .: 2002

2. .., .. -12. - .: 1999.

3. .. -12. .1.- .: 1994.

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