.


:




:

































 

 

 

 





4.1.

()
1. (): 1.1. Qlj0, . . 1.2. l j0, . .      
     
2. j, % , I, II III, IV     100,2     97,4    
98,5   94,6
3. : 3.1. . j0, ./.-., I-IV 3.2. . j0, ./.-.-., I,III II,IV 3.3. . j 0, ./-. I-IV     115,0    
  120,0  
  157,0  
     
4. - t2 , % 1,6 1,1 2,8
5. , .j, , : I II III IV      
     
     
     
6. , , : 6.1. Qp, I,III II,IV 6.2. , - I,III II,IV 6.3. Ny, .. I,III II,IV      
     
     
     
     
     

4.2.

t0 , . .

- , - - (-)
                 
1. ..                
        -      
2.                
3.                
4.                
5.                
6.                
7.                
8. -       - -    
9.                
10.                
11. , , - - - - - - - -
12.                

, , , , . :

;

;

;

, .

, , , , .

.

() , t0 t2 . 4.1.

Qlj2 = Qlj0 ∙ (Tj/100)2, (1)

Qlj2 Qlj0 j- t2 t0 , . (. .);

j j- , %.

Ql2 = 17071 ∙ (98,5/100)2 = 16563 . ;

Ql2 = 407 ∙ (100/100)2 = 407 . ;

Ql2 = 317 ∙ (94,6/100)2 = 284 .

 

( t0 t2 ) 2- :

Qlj0(2)

Nj0(2) = --------------------------, (2)

P.j0(2) ∙ Q.j ∙ T.j

Nj0(2) j- (, , ) , ;

P.j0(2) t0 t2 , ./-., ./--, ./-;

Q.j (, ) , (-, ..);

T.j ( ) , .


 

N0=--------------------------= 247 ; (2)

121,1 ∙150 ∙90

 

17071000000

N0= --------------------------= 238 ;

115 ∙2700 ∙230

N0= --------------------------= 31 .

377 ∙450 ∙60

 

5.1. 5.2. . , .

.

: , , , . 4.2. 4.3. , 0 .

.

4.2. .5. . .8 () .9 .5, 6, 7.

2 :

= ( ∙ ) / 100, (3)

, . .;

, 35,6%;

Җ .

 

=(137525 ∙35,6)/100= 48959 .;

=(1076595 ∙35,6)/100=383268 .;

=(85000 ∙35,6)/100 =30260 .

 

10 .

:

- 5, 10 ;

- 9, 10 .

11 , , , , .

12 , , .

t2 , m .

.5.5. .4.1. 4.2. t0. :

nj.m0 = j.m0 / Qlj0, (4)

t0:

:

n.m0 = 109170/407 = 268,2

n.m0 = 835077/17071 = 48,9

n.m0 = 85000/317 = 268,1

:

n.m0 = 24941/407 = 61,3

n.m0 = 168717/17071 = 9,9

n.m0 = 9800/317 = 30,9

:

n.m0 = 85077/407 = 209

n.m0 = 1267117/17071 = 74,2

n.m0 = 90000/317 = 283,9

:

n.m0 = 3600/407 = 8,8

n.m0 = 144950/17071 = 8,5

n.m0 = 6150/317 = 19,4

:

n.m0 = 1750/407 = 4,3

n.m0 = 10807/17071 = 0,6

n.m0 = 450/317 = 1,4

:

n.m0 = 59811/407 = 146,9

n.m0 = 1515077/17071 = 88,8

n.m0 = 90000/317 = 283,9

:

n.m0 = 65071/407 = 159,9

n.m0 = 1145011/17071 = 67

n.m0 = 48000/317 = 151,4

:

n.m0 = 0

n.m0 = 90070/17071 = 5,3

n.m0 = 12500/317 = 39,4

:

n.m0 = 5070/407 = 12,5

n.m0 = 3200017/17071 = 187

n.m0 = 5000/317 = 15,8

 

nj.m0 = j. m0 / (Nj0 ∙ Qp.j.j), ∙ 1000 (5)

:

n.m0 =109170/ (247 ∙ 150 ∙ 90) = 32,7

n.m0 =835077/ (238 ∙ 2700 ∙ 230) = 5,7

n.m0 = 85000/ (31 ∙ 450 ∙ 60) = 101,5

:

n.m0 = 24941/(247 ∙ 150 ∙ 90) = 7,4

n.m0 = 168717/(238 ∙ 2700 ∙ 230) = 1,1

n.m0= 9800/(31 ∙ 450 ∙ 60) = 11,7

:

n.m0 = 85077/(247 ∙ 150 ∙ 90) = 25,5

n.m0 = 1267117/(238 ∙ 2700 ∙ 230) = 8,6

n.m0= 90000/(31 ∙ 450 ∙ 60) = 107,5

:

n.m0 = 3600/(247 ∙ 150 ∙ 90) = 1,1

n.m0 = 144950/(238 ∙ 2700 ∙ 230) = 1

n.m0= 6150/(31 ∙ 450 ∙ 60) = 7,3

:

n.m0 = 1750/(247 ∙ 150 ∙ 90) = 0,5

n.m0 = 10807/(238 ∙ 2700 ∙ 230) = 0,1

n.m0= 450/(31 ∙ 450 ∙ 60) = 0,53

:

n.m0 = 59811/(247 ∙ 150 ∙ 90) = 18

n.m0 = 1515077/(238 ∙ 2700 ∙ 230) = 10,2

n.m0= 90000/(31 ∙ 450 ∙ 60) = 107,5

:

n.m0 = 65071/(247 ∙ 150 ∙ 90) = 19,5

n.m0 = 1145011/(238 ∙ 2700 ∙ 230) = 7,7

n.m0= 48000/(31 ∙ 450 ∙ 60) = 57,3

:

n.m0 = 0

n.m0 = 90070/(238 ∙ 2700 ∙ 230) = 0,6

n.m0= 12500/(31 ∙ 450 ∙ 60) = 14,9

:

n.m0 = 5070/(247 ∙ 150 ∙ 90) = 1,5

n.m0 = 3200017/(238 ∙ 2700 ∙ 230) = 21,6

n.m0= 5000/(31 ∙ 450 ∙ 60) = 5,9

t2.

 

nj.m0 m- j- , ./1000 (1000 );

nj.m0 , ./. - (. --; . -).

j. m0 j m- , . .

:

3

n.m0 = .m0 / ∑ j.m0, (6)

 

j=1

n. 0 = 522109/ 1029247 = 0,5

n. 0 = 11849/203458 = 0,06

n. 0 = 159006/1442194 = 0,11

n.0 = 20096/154700 = 0,13

n.0 = 2106/13007 = 0,16

n.0 = 321045/1664888 = 0,19

n.0 = 162617/1258082 = 0,13

n.0 = 27437/102570 = 0,27

n.0 = 444242/3210087 = 0,14

 

n.m0 m- , , ./.

t2 , ( ) . , , . ( ):

0 = 0 + 0 + 0, + 0,, (7)

0 = (109170 38865) + 59811 + (3600 + 1750 + 85077) + 65071 + 5070 = 290684

0 = (835077 297287) + 1515077 + 144950 + 10807 + 1267117 + 1145011 + 3200017 = 7820769

0 = (85000 30260) + 9000 + 6150+ 450 + 90000 + 48000 + 5000 = 294340

0 t0 , . .;

0 - ( ), . .;

0, , . .;

0, , , . .;

0, ( ) , . .

 

 

, .

0j (; ; ,; ,)

ħj (; ; ,; ,) = ---------------------, (8)

0j.

ħj (; ; ,; ,) . .

∑ħj = 1, (9)

 

ħ = ( 109170 - 38865)/290684=0,24;

ħ = 59811/290684=0,21;

ħ , = (3600 +85077)/ 290684=0,31;

ħ , = (5070+65071)/ 290684=0,24;

ħ =( 835077 - 297287)/ 7820769=0,07;

ħ = 1515077/ 7820769 =0,19;

ħ , = (144950 + 1267117)/ 7820769=0,19;

ħ , = (3200017 + 1145011)/ 7820769=0,56;

ħ = (85000 - 30260)/294340=0,19;

ħ = 90000/ 294340 =0,31;

ħ , = (6150+90000)/ 294340=0,33;

ħ , = (5000+48000)/ 294340=0,18.

 

, , , ().

Z.2

Y = -----------, (10)

Z0

Y ;

Z.2 1- , t2 , .;

Z0 .

( Y = 1).

Y, t0 t2 .

Y, t1 , . , .

.

, ( ):

nm, mj, m, 2 = nm, mj, m, 0 ∙ Y;,; ; ,;,;;,, (11)

nm, mj, m, 2 t2 , , ;

;,;;, ( ), , , :

, , , ;

1;

( , ..).

. 4.4. ( ) .

t2 :

j.m2 = nmj2 ∙ Qlj2, (12)

j.m2 t2 m- j- , ..;

..2 = 337,9 ∙ 407=137525;

.2 = 77,2 ∙ 407=31420;

.2 = 298,5∙407=121489;

..2 = 13,9 ∙407=5657;

.2 = 6,8 ∙ 407 = 2767;

.2 = 136,6 ∙ 407 = 55596;

.2 = 253,3 ∙ 407 = 103093;

.2 = 16,6 ∙ 407 = 6756;

.

, t0 .

(3).

, ( ).

m .,..2 = m .,..0 ∙ Ym .,..m .,.., (13)

(.5.6. ), , :

3

m2 = nm0 ∙ ∑ j.m2, (14)

j

..2 = 0,5 ∙ 1299120=649560;

2 = 0,06 ∙ 259852=15591;

2 = 0,11 ∙2071514=227867;

. 2 = 0,13 ∙247002=32110;

2 = 0,16 ∙ 18124 = 2899;

. 2 = 0,19 ∙ 289694 = 55042;

2 = 0,13 ∙ 1871989 = 243359;

2 = 0,27 ∙ 153286 = 41387;

2 = 0,14 ∙ 4566581 = 639321;

 

11 , , , , 0.

t2 12 .5, 9.

( ) t0 t2 .

( ) . t0 4.3. ( ) ( = 0).

t2 :

_

j2 = dj0 ∙ Yj ∙ Qlj2, (15)

2 = 1061 ∙1,457 ∙407 = 629172;

2 = 650,6 ∙2,389 ∙16563 = 25743595;

2 = 131,2 ∙1,425 ∙284=53097;

 

3

.2 = ∑j2, (16)

j

.2 = 629172 + 25743595 + 53097 = 26425864

_

.h2 = .h0 ∙ Y, (17)

 

.2 t2 , . .;

dj0 t0 , ./;

dj0 = j0 / Qlj0, (18)

d0 = 431877/407 = 1061

d0 =11107207/17071 = 650,6

d0 = 41600/317 = 131,2

.h2 , , . .;

.h0 h- (, , .) t0 , . .;

Yj, Y , .

, , :

:

_

Yj = Y ∙ ħ + Y ∙ ħ + Y, ∙ ħ, + Y. ∙ ħ,, (19)

: 1,4 ∙0,24 + 1 ∙0,21 + 1,7 ∙0,31 + 1,6 ∙0,24=1,457;

: 1,4 ∙0,07+1 ∙0,19+1,7 ∙0,19+1,6 ∙0,56=2,3;

: 1,4 ∙0,314+1 ∙0,3+1,7 ∙0,26+1,6 ∙0,144=1,412.

 

:

_ _

Y = Yj ∙ qj, (20)

: 1,457 ∙ 0,044= 0,064

: 2,3 ∙ 0,923=2,205;

: 1,425 ∙ 0,033=0,047.

 

3

∑ qj = 1, (21)

j

qj j t2 .

t0 t2 - , . (. . 5.4. ).

( 3 5 . 4.3.) ( 3 4 . 5.4.).

, ( 2 .5 . 4.3. 3 .4 5 . 5.4.).

( 4 .5 . 4.3.) ( ) 6 .3, 4, 5 . 5.4.

( ) ( 18), , ./. :

_ j j0(2)

d0(2) = ------------------. (22)

j Qlj0(2)

d0 = (431877+11107207+41600)/407+317+17071=651;

_

d2 =26425864/17254=1532.

 

dj.0(2) d0(2), ./. :


 

j..0(2)

dj. = ----------------, (23)

Qlj0(2)

d 0= 686746/407=1687;

d 0= 11561713/17071=677;

d 0= 44524/317=140;

d 2= 995176/407=22445;

d 2= 26300131/16563=1587,8;

d 2 =57312/284=201,8.

j j.0(2)

d0(2) = -----------------, (24)

j Qlj0(2)

 

j.0(2) j- , . .

( ), ./. -, :

j.0(2)

dj.y0(2) = -----------------. (25)

Nj0(2) ∙ T j

d.y0 =686746/(247 ∙90)=30,8;

d.y0= 11561713/(238 ∙230)=211,2;

d.y0= 44524/(31 ∙60)=23,9;

d.y2 = 995176/(247 ∙90)=44,7;

d.y2 = 26300131/(229 ∙230)=499,3;

d.y2 = 57312/(60 ∙26)=36,7.

 

.

() .

(. 2-5 ), , , .6. , , . 8. () , , (. . 5.7. ).

, 3%. .

( ) () :

.

.j = ------------ ∙ j, (26)

j j

.j , j- (), .. , ;

j j- (. 12 . 5.6. .1 . 5.7.), . .;

. ( 3 . 5.7.), . .;

j j j- , . . (. 12 . 5.6.).

() - Cj.t :

f Pj.f0(2)

Cj0(2) = -----------------. (27)

Nj0(2) ∙ T.j

0 = 368414/(247 ∙90)=16,57;

.0 =8505413/(238 230)=155,38;

.0 =367360/(31 60)=197,505;

.2 =481842/(247 90)=21,675;

.2 =10130595/(229 230)=192,34;

.2 =367360/(26 60)=235,49.

 

, .4.3. ( ), , . , : (. 5.4.) .. 2 3 . 7 τj.

j..0(2) + j...0(2)

τj = -----------------------------, (28)

Σ j.0(2)

τ0 = 0;

τ0 =(239211 + 2584)/11561713,7=0,0209;

τ0 =(2080+23)/44524,88=0,0472;

τ2 = 0;

τ2 =(360491+3555)/26300131=0,0138;

τ2 =(2964+94)/57312= 0,05335

 

j..0(2) t0 t2 , . .;

j...0(2) , , . .

j.. , . .:

j..0(2) = τj0(2) ∙ Σf j.f0(2). (29)

..0 =0 ∙368414=0;

..0 =0,0209 ∙8505413 = 177763;

..0 =0,0472 ∙367360 = 17339,392;

..2 =0 ∙481842 = 0;

..2 =0,0138 ∙10130595=139802,211;

..2 =0,05335 ∙367360=19598,656.

 

, , . :

- :

j..0(2) = ∑f Pj.f0(2) j..0(2), (30)

..0 =368414 - 0=368414;

..0 =8505413 - 177763=8327650;

..0 =367760 17339,392=350420,608;

..2 =481842 - 0=481842;

..2 =10130595 139802,211=9990792,789;

..2 =367360 19598,656= 347761,344.

 

- :

.0(2) = ∑j. j..0(2). (31)

.0= 9046484,608;

.2 = 10820396,133.

 

. :

- Sj.t, ./. :

Pj..0(2)

Sj0(2) = -------------, (32)

Qlj0(2)

S0 =368414/407=905,194;

S0 =8327650/17071=487,824;

S0 =350420/317=1105,428;

S2 =481842/407=102,806;

S2 =9990792,789/16563=603,199;

S2 =347761,344/284=1224,512

 

- St, ./. :

P.0(2)

S0(2) = ------------. (33)

j Qlj0(2)

S0 =9046484,608/17795=508,372;

S2= 10820396,133/17254=627,124.

t0 t2 .

, . 5.8. , :

- , , ;

- ;

- , ( , ).

t0 t2 . ( 12, 9).

( . 5.10.).

3 _

.0(2) = 1,2 ∙ ∑ Nj0(2) ∙ Cj.., (34)

j=1

.0 = 1,2 ∙ (247 ∙ 437 + 238 ∙ 90 + 31 ∙ 21) = 156012 . .

. 2 = 1,2 ∙ (247 ∙ 437 + 229 ∙ 90 + 26 ∙ 21) = 154914 . .

 

.0(2) , t0 t2 , ..;

Cj.. j- , ..;

Nj0(2) - .

3 _ 3

0= ∑ Nj0 ∙ Cj. ∙ (1 j0/100) + (0,2 ∙ ∑Nj0 ∙ Cj..) ∙ (1 .0/100), (35)

j=1 j=1

: 0 t0 , ..;

j0 , j- t0 , %;

.0 t0 , %.

t2 2 ∙ nu:

j2=jo+2 ∙ nu. (36)

2 = 1457176,5+2 ∙ 4,6% = 1591236,738

2 = 224910+2 ∙ 4,2% = 243802,44

2 = 11718+2 ∙ 4,5% = 12772,62

 

t2 (35) ( 36).

, , t2 , to .

( . 5.10.).

. to :

nj 0 = j 0 /Nj0, (37)

n 0 =2570/247=10,4;

n 0 =3870/238=16,26;

n. 0 =577/31=18,61.

nj 0 j- , ./;

j 0 () ( ), .

t2 to t2 :

j 2 = nj 0 ∙ Nj2, (38)

2 =10,4 ∙247=2570;

2 =16,26 ∙229=3724;

2 =18,61 ∙26=484.

 

:

3 3

2 = (∑ j 2 / ∑ j 0) ∙ 0, (39)

j=1 j=1

2 = 6778/7017 ∙271=262.

0 to , .;

2 t2 , .

:

3

0(2) = ∑ 0(2) + 0(2) . (40)

j=1

t2 , , ( ), .

, , to t2 .

. 5.9. .

 

:

1) , ;

2) , , , ;

3) .

(. 5.9.) :

= ∑j j + ∑ - ∑j Pj - ∑ , (41)

, ..;

j j, ∑ , ..;

j Pj, ∑ , ..

( ) , ./.:

j,

j, = ------. (42)

j,

,0 =368414/431877=0,85*100=85;

.0 =8505413/11107207=0,765*100=77;

.0 =367360/41600=8,83*100=883;

.2 =481842/629172=0,765*100=77;

.2 =10130595/25743595=0,3935*100=39

.2 =367360/53097=6,9*100=692

 

:


 

j, j,

rj, = ------------- ∙ 100. (43)

j,

r,0 =(431877-368414)/368414 ∙100=17;

r,0 =(11107207-8505413)/8505413 ∙100=31

r,0 =(41600-367360)/367360=-0,89 ∙100= -89;

r,2 =(629172-481842)/481842=0,305 ∙100=31;

r,2 =(25743595-10130595)/10130595=1,54 ∙100=154;

r,2 =(53097-367360)/367360=-0,85 ∙100= -85.

 

t0 t2 :

- - , ../.; ../.

= ∑Ql / ∑, (44)

. 0 = 407/2570 ∙1000=158;

. 0 = 17071/3870 ∙1000=4411;

. 0 = 317/577 ∙1000=612;

. 2 = 407/2570 ∙1000=158;

. 2 =16563/3724 ∙1000=4448;

. 2 = 284/484 ∙1000=587.

 

= ∑ / ∑, (45)

. 0 = 702716,037/2570=273;

. 0 = 11975628,65/3870=3094;

. 0 = 46251,324/577=80;

. 2 = 1005536,12/2570=391;

. 2 =26720562,97/3724=7175;

. 2 = 58175/484=120.

 

, .;

- , ./.:

= / ∑,(46)

. .0 =109170/2570=42;

. .0 =835077/3870=216;

. .0 =85000/577=147;

. .2 =137525/2570=54;

. .2 =1076595/3724=289;

. .2 =85000/484=176.

- (), ./. (/.):

= / , (47)

. 0= 158/42=3,76;

. 0= 4411/216=20,42;

. 0= 549/147=3,73;

. 2= 158/54=2,93;

. 2= 4448/289=15,39;

. 2= 587/176=3,33.

 

- , ./.(./):

= / . (48)

. 0 = 42/158=0,27;

. 0 = 216/4411=0,05;

. 0 = 147/549=0,27;

. 2 = 54/158=0,34;

. 2 = 289/4448=0,06;

. 2 = 176/587=0,29.

 

. 5.10. .

.

= , (49)

= -

, . .;

( ), . .;

, ( ), . .;

- , . .

= - , (50)

= + , (51)

, . .;

, . .;

, , . .;

, . .

, .

2% .

.

, , ( ):

= - , (52)

= ( ) ∙ m / 100, (53)

, , . .;

, . .;

, , = 0;

m , 2- : 11 % 13 %.

. 5.10. .


4.3.

( ) t0 (. .)

- -
           
1.       -  
2. -        
3. , - - -    
4. ,          
5. ,          
6. - - - -  
7.          

 


4.4.

( )

III
- ... 0,95
... 0,9
... 0,99
..... 0,96
 
- ... 0,98
... 0,93
... 0,98
..... 0,96
 
... 0,89
... 0,84
... 0,93
..... 0,92
 
... 0,97
... 0,99
... 0,95
..... 0,96
 
... 0,92
... 0,83
... 0,75
..... 0,91

 


<
.
 
I " "
1. , Q  
2. 1 , ε /  
3. ,  
4. . , k..   0,97
5. , ..  
6. , υ / 20,8
7. :    
, t.. t.. = 0,3 ∙ t
, t.. t.. = 0,5 ∙ t
8. , M /  
9. , /  
10. , Ny  
11. , . 1,55
II " "
12. - , n  
13. , n. /  
14. , .. . 71,3
15. . , k   1,2
16. . , k..   1,2
17. . ./, k  




:


: 2016-10-22; !; : 325 |


:

:

- , - .
==> ...

1329 - | 1264 -


© 2015-2024 lektsii.org - -

: 0.457 .