1......................................................................................... 3
2......................................................................................... 5
3......................................................................................... 7
4....................................................................................... 11
5....................................................................................... 14
............................................................................ 21
1
. . .
( ). , .
, , . , . , .
, ().
. , : f = z.
, :
Lgf = lgx + lgy + lgz
, , , :
lg (f1/f0)=lg (x1/x0)+lg (y1/y0)+lg (z1/z0);
lgIf = lgIx + lgIy + lgIz
lgIf f, :
f = f * lgIx / lgIf + f * lgIy / lgIf + f * lgIz / lgIf = fx + fy + fz
:
fx = f * lgIx / lgIf;
fy = f * lgIy / lgIf;
fz = f * lgIz / lgIf
, . , - .
2
|
|
:
1. .
2. .
3. .
4. .
5. .
1
. . | ||
, .. 1 2 | . | |
1 2 | .. | |
1 2 | % | 69,0 46,1 73,2 |
:
1) :
) 7*112=784 ..
=69%, =(784*69)/100%=541 ..
) 13*10=130 ..
=46,1%, =(130*46,1)/100%=59,93 ..
)30*3=90 .. (100%)
=73,2%, =(90*73,2)/100%=65,88 ..
, :
541+59,93+65,88=666,81 ..
2) :
30 , :
666,81*30=20004,3 ..
3) :
(69+46,1+73,2)/3=62,7%
4) :
(112+10+3)/3=41,6 ..
5) :
, :
1. 666,81 ..;
2. 20004,3 ..;
3. 62,7%;
4. 41,6 ..
3
1. :
- .
- .
- .
- .
2. 2002 2003 .
3. .
2
. . | ||
2002 ., - - - | .. | 12562,0 11186,0 1270,0 106,0 |
2003 ., - - - | .. | 10110,0 9027,4 930,0 152,6 |
1. :
- .
10110-12562=-2452
- .
100 % = 10110
x =-2452, x = (-2452* 100)/ 10110= - 24,25%
- :
2002 :
- :
12562= 100%, 11186= ,
= (11186* 100)/12562 = 89%
- :
12562 = 100%, 1270 = ,
= (1270* 100)/12562 = 10%
- :
12562= 100%, 106= ,
= (106* 100)/12562 = 1%
2003 :
- :
10110= 100%, 9027,4 = ,
= (9027,4* 100)/10110 = 89%
- :
10110 = 100%, 930= ,
= (930* 100)/10110 = 9%
- :
10110 = 100%, 152,6 = ,
= (152,6* 100)/10110 = 2%
- .
:
)
9027,4-1186=7841,4
)
930-1270=-340
)
152,6-106=46,6
:
|
|
)
100% = 9027,4
x =7841,4, x = (7841,4* 100)/ 9027,4= 86,8%
)
100% = 930
x =-340, x = -36,5%
)
100% = 152,6
x =46,6, x = 0,6%
2. 2002 2003 .
1. 2002 2003 .
3. .
:
, , 2003 2452 . . , 2002 .
, , 2003 24,25%.
2002 89%, 10%, 1% . 2003 89%; 9% , 2002 1%. 2%, 2002
2 .
, 2002 2003 , 2003 , 2002 .
4
1. .
2. .
3. .
3
. . | |||
, - - | .. | 1310,0 890,0 420,0 | |
, - - | .. | 1250,0 900,0 350,0 |
1. .
, ( ) .
, .
:
1. , , .
2. , , , - .
:
( . add ): y = x1x2x3
( ):
y = x1*x2*x3**xn
y = x1*x2
x2 = x3*x4
x3 = x5*x6
( ):
y = x1/x2
() . 3 :
(x+y)/z
z/(x+y)
:
= + + , .. , I . :
= + =890,0+420,0=1310,0 ..
= + =900,0+420,0=1320,0 ..
= + =900,0+350,0=1250,0 ..
, , .
. , 10 .. (1320-1310).
= + =900,0+420,0=1320,0 ..
= + =900,0+350,0=1250,0 ..
, . . 70 . . (1250 - 1320 = -70).
|
|
:
∆ + ∆ = ∆
10-70 = 1250-1310
-60 = -60
.
3. : ; 60..
5
1. .
2. .
3. .
4. , .
4
. . | ||
. . | 1615,7 | |
1 | ./ | 18,0 |
. | . | 8,0 |
. | ||
. | ||
.. | 1619,4 | |
1 | ./ | 18,0 |
. | . | 7,9 |
. | ||
. |
1 = . 1 * . * -
1. 18*8*220=31680 .
2. 18*7,9*219=31141,8 .
= 1 . *
1. 31680*51=1615680 . . -
2. 31141,8*52=1619373,6 . . -
, .
8 .
1 . 1 .
5
() | (1) | , % | ||
() | 1619,4 | 1615,7 | 3,7 | |
() | ||||
1 | 142,2 | 1,8 | ||
() |
() :
:
Δ% = ((1-0)/0)*100%;
Δ% = ((1-0)/0)*100%;
Δ% = ((1-0)/0)*100%;
:
Δ = (0*Δ%)/100;
Δ = ((0+ Δ)*Δ%)/100;
Δ = ((0+Δ+ Δ)*Δ%)/100;
a0, b0, c0 () , ; a1, b1, c1 - ;
Δ = 1 0 :
Δy = Δya + Δyb + Δyc.
.
|
|
.
:
= 52*142,2*219=1619373,6 . .
= 51*142,2*219=1588231,8 . .
= 51*144*219=1608336 . .
= 51*144*220=1615680 . .
, , . , 31141,8 . . (1588231,8-1619373,6).
, 1 1 . , 1 , 20104,2 . . (1608336-1588231,8).
, . - 7344 . . (1615680-1608336).
, :
:
) 1 - 20104,2 . .
) - 7344 ..
:
) 31141,8 . .
:
1615700-1619400= -3700 .
.
. , , .
6
() | (1) | .% | ||
() | 1619,4 | 1615,7 | 3,7 | |
() | ||||
1 () | 142,2 | 1,8 | ||
() |
=52*142,2*219=1619373,6 . .
∆=∆**=1*142,2*219=31141,8 . .
∆=∆*1*=1,8*51*219=201042 . .
∆=∆*1*1=1*51*144=7344 . .
1=51*144*220=1615680 . .
∆=∆+∆+∆=31141,8+201042+7344=2395278 . .
1615680-1619373,6= -3693,6
. . , . = * * :
∆%=(1-0)/a0*100%=1/52*100=1,92
∆%=(1-0)/0*100%=1,8/142,2*100=1,266
∆%=(1-0)/0*100%=1/219*100=0,457
:
∆=o*∆%/100=1619373,6*1,92/100=31092
∆=(o+∆) *∆%/100=(1619373,6+31092)*1,266/100=20894,9
∆c=(o+∆+∆)* *∆%/100=(1619373,6+31092+20894,9)*0,457/100=7344
, . , . .
7
() | (1) | .% | ||
() | 1619,4 | 1615,7 | 3,7 | |
() | ||||
1 () | 142,2 | 1,8 | ||
() |
|
|
=**
∆()=0.5*∆*(01+10)+1/3*∆*∆*∆
∆()=0.5*∆*(01+10)+1/3*∆*∆*∆
∆()=0.5*∆*(01+10)+1/3*∆*∆*∆
∆=0,5*1*(142,2*220+144*219)+1/3*1*1,8*1=31410+0,6=31410,6
∆=0,5*1,8*(52*220+51*219)+1/3*1*1,8*1=20348,1+0,6=20348,7
∆=0,5*1*(52*144+51*142,2)+1/3*1*1,8*1=7370,1+0,6=7370,07
1. .., .. . / . .: , 2000.
2. .. - . .: , 2001.
3. .. . .: , 2001.