9
5 , , .
9
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|
|
| (+, -) |
1 . , . | ||||||
. . | % | . . | % | . . | % | -, (+, -) | ||||
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
1 | 2878150 | 60,16 | 3566212 | 62,8 | +688062 | +2,64 | 55,35 | 57,15 | +1,8 | |
2 | 1027800 | 21,48 | 1135680 | 20,00 | +107880 | -1,48 | 19,76 | 18,2 | -1,56 | |
3 | 259048 | 5,42 | 295277 | 5,2 | +36229 | -0,22 | 4,98 | 4,7 | -0,28 | |
4 | 475292 | 9,94 | 506003 | 8,91 | +30711 | -1,03 | 9,14 | 8,11 | -1,03 | |
5 | 143710 | 3,00 | 175228 | 3,09 | +31518 | +0,09 | 2,76 | 2,81 | +0,05 | |
6 | 4784000 | 100 | 5678400 | 100 | +894400 | 0 | 91,99 | 90,97 | -1,02 | |
7 | , . . | 5200000 | 6240000 | +1040000 |
: , 894400 .. (+688062 ..), 62,8%. . ( ) . 1 1,8 .
, 107880 . . 1,48%. 36229 . ., 0,22%. , , .. 1 1,02 1,56 .
1 .
, , .
10 ( 1 ). , , , . , . 10 1 .
|
|
|
|
|
|
|
| ||||
- | - | - | - | - | - | - | - | ||
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
1 | (Q), . | 8000 | 9000 | 4000 | 4000 | 6000 | 6800 | 18000 | 19600 |
2 | (Z), .. | 200 | 210 | 300 | 407,5 | 400 | 400 | ||
3 | - (QZ), .. | 1600000 | 1890000 | 1200000 | 1630000 | 2400000 | 2720000 | 5200000 | 6240000 |
4 | . . (P), .. | 160 | 205 | 283,5 | 400,75 | 395 | 328 | ||
5 | . (QP), . . | 1280000 | 1845000 | 1134000 | 1603000 | 2370000 | 2230400 | 4784000 | 5678400 |
6 | . (Q1P0), . . | 1440000 | 1134000 | 2686000 | 5260000 | ||||
7 | - (Q1Z0), . . | 1800000 | 1200000 | 2720000 | 5720000 |
1 .
10.1
1
/ | (+;-) | |||
1 | , . | 18000 | 19800 | +1800 |
2 | . , .. | 3502390 | 3831360 | +328970 |
3 | 1 , ..(2/1) | 194,577 | 193,503 | -1,074 |
4 | . , . | 1281610 | 1847040 | +565430 |
5 | . , . | 4784000 | 5678400 | +894400 |
6 | , .. | 5200000 | 6240000 | +1040000 |
7 | 1 , . (5/6) | 0,9200 | 0,9100 | -0,0100 |
1 :
1=∑Q x P/∑ Q x Z
1. 10 1 :
11=∑Q1 x P0/∑ Q1 x Z0=5260000/5720000=0,9196 .
2. 1 :
21=∑Q1 x P1/∑ Q1 x Z0=5678400/5720000=0,9927 .
:
1 ) 1 :
∆ 1 (Q) = 11 1 0= 0,9196 0,9200 = -0,0004 . = -0,04 . ( 0,04 1 );
2 ) 1 :
∆ 1 (P) = 21 11 =0,9927 0,9196 = 0,0731 . = +7,31 . ( 7,31 1 );
3 ) 1 :
∆ 1 (P) = 1 1 - 21 = 0,9100 - 0,9927 = -0,0827 . = - 8,27 .
( 8,27 1 );
: ∆ 1 = -0,0004+0,0731- 0,0827 =- 0,01 = -1 .
: 1 , 1 . 1 1, , .
( 7,31 . 1 ) .
, . , . , .
|
|
, .
11
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|
|
|
|
| ||||||
- | - | - (+,-) | - | - | - (+,-) | - | - | - (+,-) | ||
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |||
1 | 1510 | 2230 | +720 | 480 | 510 | +30 | 724800 | 1137300 | +412500 | |
2 | Y | 1610 | 1360 | -250 | 195 | 270 | +75 | 313950 | 367200 | +53250 |
3 | Z | 863 | 1288 | +425 | 600 | 720 | +120 | 517800 | 927360 | +409560 |
4 | W | 2240 | 2287 | +47 | 590 | 496 | -94 | 1321600 | 1134352 | -187248 |
2878150 | 3566212 | 688062 |
, : = q * z;
1. :
1 ) Δ:
Δ (q) = ½ Δq x (z0 + z1)=0,5*720*990=+356400 ..
2 ) Δ:
Δ (z) =½ Δz x (q0 + q1)=0,5*30*3740=+56100 ..
:
Δ = Δ (q) + Δ (z) = 356400 + 56100 = 412500 . .
2. Y:
1 ) Δ:
Δ (q) = ½ Δq x (z0 + z1)=0,5*(-250)*465=-58125 ..
2 ) Δ:
Δ (z) =½ Δz x (q0 + q1)=0,5*75*2970=+111375 ..
:
Δ = Δ (q) + Δ (z) = -58125 + 111375 = 53250 . .
3. Z:
1 ) Δ:
Δ (q) = ½ Δq x (z0 + z1)=0,5*425*1320=+280500 ..
2 ) Δ:
Δ (z) =½ Δz x (q0 + q1)=0,5*120*2151=+129060 ..
:
Δ = Δ (q) + Δ (z) = 280500+129060 = 409560 . .
4. W:
1 .: Δ:
Δ (q) = ½ Δq x (z0 + z1)=0,5*47*1086=+25521 ..
2 .: Δ:
Δ (z) =½ Δz x (q0 + q1)=0,5*(-94)*4527=-212769 ..
:
Δ = Δ (q) + Δ (z) =-212769+ 25521= -187248 . .
5. , :
1 .: Δ:
Δ (q) = 356400-58125+280500+25521 = 604296 . .
)
Δ (z) = 56100+111375+129060-212769 = 83766 . .
)
Δ = Δ (q) + Δ (z) = 604296+83766 = 688062 . .
|
|
: , , . 688062 . .
, , , W, -187248 . .
, (412500) . . Z (409560) ..
() / - 0 //0 =3566212-2878150 6240000/5200000=3566212-3453780 =+112432 .. , , .. 112432 .. . .
12 . . 12 ,
/ | (+; -) | |||
1 | 2 | 3 | 4 | 5 |
1 | (), . | 26640 | 27810 | +1170 |
2 | (), . | 240 | 241 | +1 |
3 | (t), . | 7,5 | 7 | -0,5 |
4 | + (), .. (. 5) | 1286848 | 1430957 | +144109 |
5 | (1), . (.4/.1 .2 .3) | 0,026836 | 0,030501 | +0,003665 |
1. , :
= t 1;
1) ∆:
∆ () = ∆ 0 t0 0 1 = 1170 240 7,5 0,026836 = 56516 . .
2) , ∆:
∆ () = 1 ∆ t0 0 1 = 27810 1 7,5 0,026836 = 5597 . .
3) ∆:
∆ (t) = 1 ∆1 ∆t 0 1 = 27810 241 (-0,5) 0,026836 = -89930 . .
4) ∆:
∆ (1) = 1 ∆1 t1 ∆ 1 = 27810241 7 0,003665 = 171945 . .
: ∆ = 56516+5597-89930+171945 = 144128 . .
2. ()
/ - 0 //0= 1430957 1286848 6240000/5200000 = 1430957-1544217,6 = - 113260,6 . .
: , . 144109 .., 3,665 .. . 171945 .. . 56516 . ., . 5597 . .
0,5 89930 . . .
() . , , .
.
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4
13
, .
13
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/ |
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| (+, -) | |||
. . | % | . . | % | . . | % | ||
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
1 | () | 5200000 | 99,35 | 6240000 | 99,42 | +1040000 | +0,07 |
2 | 18084 | 0,35 | 18513 | 0,29 | +429 | -0,06 | |
3 | 15685 | 0,30 | 17904 | 0,29 | +2219 | -0,01 | |
4 | (.1 + .2 + .3) | 5233769 | 100 | 6276417 | 100 | +1042648 | 0 |
5 | 3523617 | 70,22 | 4182379 | 69,03 | 658762 | -1,19 | |
6 | 494943 | 9,90 | 587477 | 9,70 | +92534 | -0,20 | |
7 | 765440 | 15,25 | 908544 | 15,00 | +143104 | -0,25 | |
8 | 64520 | 1,29 | 203145 | 3,35 | +138625 | +2,06 | |
9 | 152130 | 3,03 | 153070 | 2,53 | +940 | -0,50 | |
10 | 17119 | 0,34 | 23533 | 0,39 | +6414 | +0,05 | |
11 | (.5+.6+7+.8+.9) | 5017769 | 100 | 6058148 | 100 | +1040379 | 0 |
12 | ( ) (.4 .10) | 216000 | 218269 | +2269 | |||
13 | 1,0430 | 1,0360 | -0,0070 |
: , 1042648 .. (+1040000 ..), 99,42% , ( ) . 20% , , .
, 1040379 .., , 69,03%. , . , . 940 .. , . 138625 .., 2,06%, .
1, , 0,70 ., , , . , .
14 . . 14
15
|
16
() . ( .2)
16
( , )
/ | (+, -) | |||
1 | 2 | 3 | 4 | 5 |
1 | , . . | 5200000 | 6240000 | +1040000 |
2 | , . . | 3502390 | 3831360 | +328970 |
3 | , . . (-) | 1697610 | 2408640 | +691030 |
(*R-) | 48,48 | 62,87 | +14,39 | |
4 | (, . 1 . ) (=/) | 1,4847 | 1,6287 | +0,144 |
6 | (/)*100% | 32,65 | 38,60 | +5,95 |
R-=(/)*100;
( )=/;
:
R-=* R-;
1) ( ) :
∆ R-()=1/2∆ (R-1+ R-0)=1/2*0,144*(38,6+32,65)=5,13 %
2) R- :
∆ R-(R-)=1/2∆ R-(1+ 0)=1/2*5,95*(1,4847+1,6287)=9,26 %
: 5,13+9,26= +14,39 %
: 14,39 % , 1 , , 5,13%.
, .. 5,95% 9,26%, , , , , , .
, , , , .
17
, . .
17
| ||||
/ | (+, -) | |||
1 | 2 | 3 | 4 | 5 |
1 | , . . | 233119 | 241802 | +8683 |
2 | , . . | 2488348 | 2732021,5 | +243673,5 |
3 | , % (.1/.2) 100% | 9,368 | 8,85 | -0,518 |
4 | , . . | 1578486,5 | 1663907 | 85420,5 |
5 | ( ) (4/2) | 0,6344 | 0,6090 | -0,0254 |
6 | , . . | 5200000 | 6240000 | +1040000 |
7 | , (.6 /. 4) | 3,2943 | 3,7502 | +0,4559 |
8 | , .. | 416000 | 561600 | +145600 |
9 | , (R-)% (.1 / .6) | 4,48 | 3,875 | -0,605 |
10 | : | |||
) | ( | -0,375 | ||
1 | 2 | 3 | 4 | 5 |
) | 1,24 | |||
) | 1 (R-) | -1,382 |
R =( / / Ā) 100%
R = R-
, :
1) () :
∆R () = ∆ 0 R-0 = (-0,0254)*3,2943*4,48 = - 0,375%
2 ) :
∆R ( ) =1 ∆ R-0 = 0,609*0,4559*4,48 = 1,24%
3 ) :
∆R (R-) = 1 1 ∆R- = 0,609*3,7502*(-0,605) = -1,382%
: -0,375+1,24-1,382= -0,517%
: , 0,52%.
, , .. 0,0254%, 0,375%. , .
20
, 2 , - , . , 12%.
20
, - ,
/ | (+, -) | |||
1 | 2 | 3 | 4 | 5 |
1 | , . . | 233119 | 241802 | +8683 |
2 | , . . | 2488348 | 2732021,5 | +243673,5 |
3 | , . . | 5200000 | 6240000 | +1040000 |
4 | , . . | 3502390 | 3831360 | +328970 |
5 | , . . | 1281610 | 1847040 | +565430 |
6 | (), . . (.3-.4) | 1697610 | 2408640 | +711030 |
7 | , . . ( 2) | 416000 | 561600 | +145600 |
8 | , . . ( 2) | 216000 | 218269 | +2269 |
9 | (.5/.4) | 0,3659 | 0,4821 | +0,1162 |
10 | (.3/ .7) | 12,50 | 11,11 | -1,39 |
11 | , .. | 1578486,5 | 1663907 | 85420,5 |
12 | , .. | 909808 | 1068006 | +158198 |
13 | , % (R) .1/.2 *100 | 9,37 | 8,85 | -0,52 |
14 | ( ), . . (2) | 64520 | 230145 | 165625 |
15 | (.6/ 7) | 4,081 | 4,289 | +0,208 |
16 | , % (.14 / .12)*100% | 7,09 | 21,54 | +14,45 |
17 | () () | 0,20 | 0,20 | - |
1 | 2 | 3 | 4 | 5 |
18 | , (.12/.11) | 0,5764 | 0,6419 | +0,0655 |
19 | (), % | 1,0513 | -6,5166 | -7,5679 |
20 | - (.15 .19) | 4,2904 | -27,9497 | -32,24 |
21 | , % (.8/.11 100) | 13,68 | 13,12 | -0,56 |
:
0=[(9,37 - 7,09)(1- 0,2)] 0,5764 = 1,0513 %
0=[(8,85 21,54)(1- 0,2)] 0,6419 = -6,5166 %
: , 0,0655, , 158198 ..
0,1162 - . 1,39 11,11, .
, .. 6,5 % +1,05 % . , 12% , , .
, , .
- 32%. () , .
- . , , . .
21
.
100% < Δ↑Ā < Δ↑ < Δ↑
I II
III
21
/ | .. | % ( ) | |||
1 | , Ā, .. | 2488348 | 2732021,5 | +243673,5 | 109,8 |
2 | , .. | 5200000 | 6240000 | +1040000 | 120,0 |
3 | , .. | 233119 | 241802 | +8683 | 103,7 |
I 100%< 109,8%
II 109,8%< 120%
III 120%>103,7
21.1