, - . , , . , , - .
-, , , , . , , , , . .
-, .
, .
. , , , , . . , . , , , .
:
-
-
- - -
녅..3
녅...14
19
25
腅26
28
1.1
:
, .. | , %(W) | |||||||
1. | 2 . | 3. | 4. | 5. | 6. | 7. | ||
0,7 | ||||||||
, % |
|
|
1. ( ):
) :
i
*W= (. .) (1.1)
1. (): 700*0,2=140 . .;
2. (): 700*0,05=35 . .;
3. (.): 700*0,06=42 . .;
4. ( ): 700*0,35=245 . .;
5. (): 700*0,30=210 . .;
6. ( ): 700*0,03=21 . .;
7. ( ): 700*0,01=7 . .;
() . , ( ), .. .
, , .
:
i
*/100%= () (. .), (1.2)
.
1. (): 140*3/100%=4,2 . .;
2. (): 35*4/100%=1,4. .;
3. (.): 42*7/100%=2,94 . .;
4. ( ): 245*18/100%=44,1. .;
5. (): 210*12/100%=25,2 . .;
6. ( ): 7*10/100%=0,7. .;
7. ( ): 1*8/100%=0,08 . .
( ), 1 .
) :
=*I*n (. .), (1.3.)
n=2006.-2000. =6 ( );
I; 1,1( ).
1 = 140*1,09 = 152,6 ..
2 = 35*1,09=38,15 ..
3 = 42*1,09=45,78 ..
4 = 245*1,09=267,05 ..
5 = 210*1,09= 228,9 ..
6 = 21*1,09 = 22,89 ..
7 = 7*1,09 = 7,63 ..
, 6 6,6
) :
() = -
= *100%
=-/ =0
1=1/3*100%=33
2=1/4*100%=25
3=1/7*100%=14
4=1/18*100%=6
5=1/12*100%=8
6=1/10*100%=10
7=1/8*100%=12,5
1=140-0/33=4,2 ../
2=35/25=1,4 2 ../
3=42/14=3 2 ../
4=245/6=40,8 ../
5=210/8=26,25 ../
6=21/10=2,1 ../
7=7/12,5=0,56 ../
=- =6
1=4,2*6=25,22 ..
2=1,4*6=8,42 ..
3=3*6=182 ..
4=40,8*6=244,82 ..
5=26,25*6=157,52 ..
6=2,1*6=12,82 ..
7=0,56*6=3,362 ..
()1=140-25,2=114,8 ..
()2=35-8,4=26,6 ..
()3=42-18=24 ..
()4=245-244,8=0,2 ..
()5=210-157,5=52,5 ..
()6=21-12,6=8,4 ..
()7=7-3,36=3,64 ..
) .
|
|
()=
1=152,6/33*6=27,77
()=152,6-27,77=124,83
2=38,15/25*6=9,15
()=38,15-9,15=29
3=45,78/14*6=19,62
()=45,78-19,62=26,16
4=267,05/6*6=267,05
()=267,05-267,05=0
5=228,9/8*6=171,67
()=228,9-171,67=57,23
6=22,89/10*6=13,73
()=22,89-13,73=9,16
7=7,63/12,5*6=3,66
()=7,63-3,66=3,97
() , .. - . .
( ) 1- . 2- .
4 5 .
:
=/*100%, (1.6)
, 6 ;
.
=100/, (1.7)
.
4=100/18=5,5
5=100/12=8,3
:
4=244,8/245*100% =99,9%
5=157,5/210*100%=75%
, 6 , , .. 75%.
:
1=- (. .) (1.8)
1 = 245-267,05= -9%
1 = 210-228,9/210 = -9%
, 4 ( ) 9% . ., 5 () 9% . .
2- :
2= /- /, (1.9)
.
.
3. ( 0 :1. (); 2. (); 3. ().
1). :
2 , .
4=18%*2=36%
5=12%*2=24%
= - ∑)/100%* (. .)
= 1/*100%*2
4 : .. = 6, :
1 = 245*36%/100% = 88,2
2 = (245-88,2)*0,36 = 56,44
3 = (245-88,2-56,44)*0,36 = 36,12
4 = (245-88,2-56,44-36,12)*0,36 = 23,12
5 = (245-88,2-56,44-36,12-23,12)*0,36 = 14,80
6 = (245-88,2-56,44-36,12-23,12-14,80)*0,36 = 9,47
.. : 245+88,2+56,44+36,12+23,12+14,80+9,47. ., .. : 261,85-245 =16,85 . .
5:.. = 8, :
1 = 210*0,24 = 50,4
2 = (210-50,4)*0,24= 38,30
3 = (210-50,4-38,30)*0,24 =29,11
4 = (210-50,4-38,30-29,11)*0,24 = 22,12
5 = (210-50,4-38,30-29,11-22,12)*0,24 = 16,82
6 = (210-50,4-38,30-29,11-22,12-16,82)*0,24 = 12,78
7 =(210-50,4-38,30-29,11-22,12-16,82-12,78)*0,24 = 9,7
8 = (210-50,4-38,30-29,11-22,12-16,82-12,78-9,7)*0,24 = 7,38
.. 210+50,4+38,30+29,11+22,12+16,82+12,78+9,7+7,38= 239,39. ., .. 239,39-210 = 23,39 ..
2):
1/2 , .
|
|
4:
4 36%
1 = 88,2 . .
2 = 56,44 . .
3 = 36,12 . .
∑ 1/2 = 88,2+56,44+36,12= 180,76
=(245- 180,76)= 64,24 . .
4 = 5 = 6 = 180,76+64,24*3= 373,48 . .
64,24/247=21,41
5:
5 24%
1 = 50,4 . .
2 =38,30 . .
3 = 29,11 . .
4 = 22,12 . .
∑ 1/2 = 50,4+38,30+29,11+22,12= 139,93 . .
= 210-139,93 = 70,07
5 = 6 = 7 = 8 = 139,93+17,5*4= 209,93 . .
3):
, . , .
=
= (1.10)
=
i = Hi*K
4:
1 = (6-0)/(1+2+3+4+5+6)*100% = 28,5%
1 = 1* = 0,285*245 = 69,83 . .
2 = (6-1)/21*100% = 23,8%
2 = 2* = 0,238*245 = 58,31 . .
3 = 4/21*100% = 19%
3 = 0,19*245 = 46,55 . .
4 =3/21*100% = 14,3%
4 = 0,143*245 = 35,03 . .
5 = 2/21*100% = 9,5%
5 = 0,095*245 = 23,28 . .
6 = 1/21*100% = 4,8%
6 = 0,048*245 = 11,76 . .
∑ = 245 . ., .. , 6 2,45 . .
5:
1 = (8-0)/(1+2+3+4+5+6+7+8)*100% = 22,2%
1 = 1* = 0,22*210 = 46,62
2 = (8-1)/36*100% = 19,4%
2 = 2* =0,194*210 = 40,47
3 = 6/36*100% = 16,6%
3 =0,166*210 = 34,86 . .
4 = 5/36*100% = 13,9%
4 = 0,139*210 = 29,19 . .
5 = 4/36*100% = 11,1%
5 = 0,111*210 = 23,31 . .
6 = 3/36*100% = 8,3%
6 = 0,083*210 = 17,43 . .
7 = 2/36*100% = 5,5%
7 = 0,055*210 = 11,55 . .
8 = 1/36*100% = 2,8%
8 = 0,028*210 = 5,88 . .
∑ = 209,58 . ., .. , 6 .
:
1.2
, i I = 1- | ||||||||
4 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | |
1 | 122,5 | 105 | 88,2 | 50,4 | 88,2 | 50,4 | 69,83 | 46,62 |
2 | 122,5 | 105 | 56,44 | 38,30 | 56,44 | 38,30 | 58,31 | 40,74 |
3 | 122,5 | 105 | 36,12 | 29,11 | 36,12 | 29,11 | 46,55 | 34,86 |
4 | 122,5 | 105 | 23,12 | 22,12 | 21,41 | 22,12 | 35,03 | 29,19 |
5 | 122,5 | 105 | 14,80 | 16,82 | 21,41 | 17,5 | 23,28 | 23,31 |
6 | 122,5 | 105 | 9,47 | 12,78 | 21,41 | 17,5 | 11,76 | 17,43 |
7 | - | 105 | - | 9,7 | - | 17,5 | - | 11,55 |
8 | - | 105 | - | 7,38 | - | 17,5 | - | 5,88 |
735 | 840 | 228,15 | 186,61 | 244,99 | 209,93 | 244,76 | 209,58 | |
½ | 367,5 | 420 | 180,76 | 139,93 | 180,76 | 139,93 | 179,69 | 151,41 |
, :
1) 4 1/2 : 367,5 . . : 180,76 . ., 179,69 . .
2) 5 : 151,41 . . , .
|
|
, .
, , :
-
- max (1.11)
-
:
367,5-180,76 = 186,74 . .
420-139,93= 280,07 . .
367,5-179,69 = 187,81 . .
.
:
367,5-180,76 = 186,74 . .
420-139,93 = 280,07 . .
420-151,41 = 268,59 . .
367,5-179,69=187,81 . .
151,41-367,5=216,09. .
180,76-139,93=40,07. .
.
, , , .
4). ½ . () ( , ). (.) 5% , .. . = 0,05 .
= 0.05*0.675 = 0.033 (. ) 4
= 0,05*0,300 = 0,015 (. ) 5
4 : = 1/2 = 3
* , (1.12)
= 0,05*
675-498,052-0,05*675 = 143,198
= 675-364,5-0,05*675 = 276,75
5: = 1/2 = 4
= 300-216-0,05*300 = 69
= 300-144-0,05*300 = 141 . .
, , .
:
1.3
, . . | ½ | ||||
4 | 244,76 | 244,76 | 228,15 | ||
5 | 209,58 |
5., (, , ), :
) 30% 1 2 ;
) 30% 5 4 ;
) , 5 4 .
. , . :
) 30% 1 2 .
, , , , . , 30% , , , .
) 30% 5 4 .
, , , , 30% , , , .
). , 5 4 .
, . , - , , .
|
|
6). 1 . 35%.
ü :
(4.) = 122,5(. .)
(5.) = 105(. .)
ü :
(4.) = 69,83(. .)
(5.) = 46,62(. .)
:
ΔN = 35% (. .), (1.13)
ΔN ;
.; .
1- :
ΔN = 35% (69,83 122,5) = 18,43. /
ΔN = 35%(46,62 -42,62) = 1,4. /
ΔN = 18,43+1,4= 19,83(. ./) - ( ).
___ . ./ , , . .
.
2.1
:
. ., . . | . . ., % | t, | |||||||
1. | 2. | 3. | 4. | 5. | 6. | 7. | |||
.. = 90 . .
1.: ():90*0,20 = 18 . .
2.: ():90*0,35 = 31,5. .
3.: ():90*0,05 = 4,5 . .
4.: ():90*0,02 = 1,8 . .
5.: ():90*0,25 = 22,5 . .
6.: ():90*0,1 = 9 . .
7.: ():90*0,03 = 2,7. .
t .
... . . , : , , .
1. :
= ..*n(. ), (2.1)
n .
n = 365/t (), (2.2)
n = 365/24 = 15,21
= 90*15,21 = 1368,9 . .
, 1368,9 . .
2. :
). ():
t = 365/n
n = / = 1368,9/18 = 76,05 (2.3)
t = 365/76,05 = 4,80 (2.4)
, 4,80 , 4,80/24 = 0,2 20% .
) ():
t = 365/n
n = / = 1368,9/31,5 = 43,46 (2.5)
t = 365/43,46 = 8,40 (2.6)
, 3,6 , 8,40 /36 = 0,2 20% .
) ( ):
t = 365/n
n = / = 1368,9/(9+22,5) = 43,46 (2.7)
t = 365/43,46= 8,40 (2.8)
, 18, 8,40/36 = 0,2 20% .
) (, ):
t =365/n;
n = / = 1368,9/(4,5+1,8+2,7) = 152,1 (2.9)
t = 365/152,1 = 2,40 (2.10)
, 3,6 , 2,40/36 = 0,1 10% .
t = 4,80+8,40+8,40+2,40 = 24 ()
.
, : ( ). .. , , , , .
1. , 1,5 (t = t/1,5):
t = t/1,5 = 24 ;
n = 365/16 = 22,81 ;
t = 90*22,81 = 2052,9
= /n-/n 2052,9/22,81-2052,9/15,21 = 90-134,97 = -44,97..
(2.11)
, 1,5 , , .. , .
(2.12)
= /n-/n = 1368,9/22,81-1368,9/15,21 = 60,01-90 = -29,99..
, 1,5 , .. , , .
. 44,97 . ., 29,99 . ., . , , .
4. :
n =n-n; (2.13)
t = t/1.5 = 24/1.5 =16 () ;
n =365/16 = 22,81 (/) 1,5 .
:
n;=22,81 (2.14)
n=15.21-22,81 = -7,6 ()
:t = t-t
t = 24-16 = 8 ()
1,5 ( 24 8 ), 7,6 ( 24, 16) . 7,6 . , , .
5. , , :
a. 7 ( ), , .. , , , .
b. 6- ( ), , .. , , .
c. 7 5 , , .. .
5 6 ( ).
:
2.1
..
. | ( ) | ( t) | |
1. ,.. | . . | ||
2. , | . . | 1368,9 | 2052,9 |
3. ,t | |||
4. ..,n | 15,21 | 22,81 | |
5. ..: | |||
- | |||
- | -7,6 | ||
6. . . . | . . | - | -44,97 |
7. .. | . . | - | -29,99 |
8. .. : | |||
4,80 | - | ||
8,40 | - | ||
4,80 | - | ||
2,40 | - |
: 1) , ; 2) 8 , , 7,6 . . , , . , , .
, / | , / | |
1. ;
2. ;
3. = 0,5* = 0,05*140 = 7 . .;
4. = 0,005* = 0,005*140 = 0,7 . .;
5. () = 180,06/12 = 15 . .;
6. () = 0,5*456,3 = 6286,5 . .
228,15*5% = 11,41 . . , ..
228,15/12 = 19,01 = 11,41+19,01 = 30,42
7. . :
140*37% = 51,8 / = 0,0581../
8. ():
= 2*(*1,31+) = 2*(140*1,31+230) = 826,8 (./) = 0,83 ../
9. () ():
= 30%* (3.1)
1. .
:
, (*) (.+.*), :
. = -∑, . = 0
-∑ =0, = ∑
* = .+.*,
= (3.2)
. = 860 . ./.
= 0,39 /.
= 0,87 . ./.
, ./.
, :
= = 1792 (./.)
= .+*1 = 860+0,39*1792 = 1559 ../. (3.3)
1.
, , .. , , 1792 /. , , , .
2. , (30%* ). .
:
= 1559 . .
= 30%* = 1559*0,3 = 468 . . (3.4)
= = = 2767 . . (3.5)
= ∑ = +*1 = 860+0,39*2767 = 1939 ../. (3.6)
2.
, , 468 . ., 2767 ./. . .
3. ( ) :
1) 25%, ..
= 1,5*(*1,37+) = 1,5*(120*1,37+270) = 652 ./.
= =3282 ./.
= 860+0,39*3282 = 2140 . .
2) 50%:
= 3*(*1,37+) = 3*(120*1,37+270) = 13032 ./.
= = 942 ./.
= 860+0,39*942 = 1227 . .
3.
, 25% , , 1490 / 3282 /, 2140 . . 50%, 850 / 942 /, 1227 . . ( ).
4. ( .1) 50%:
1) ,
= 860*0,5 = 430 . .
= = 896 ./.
.. , 50% 896 /.
2) ,
= 270*0,5 = 135 ./. = 0,135 . ./.
= 0,12+0,135 = 0,255 . ./.
= = 1398 ./.
.. , ( 1398 ./.).
3) ,
= 120*0,5 = 60 ./
= 0,06+0,27 = 0,33 . ./.
= = 1593 ./.
.. , ( 1593 ./.).
.. , . .. 50%, 50%. 50%, 29%, 50%, 5%.
, ( ).
1) , :
- 50% , .1 ;
- .
4.
:
= 1,5* = 1,5*1792 = 2688 ,/ (3.7)
= 468 . .
= 860 . .
= 0,39 . .
= . . (3.8)
, , 884 ./., , 468 . .
2) , , :
- ;
- ;
- .
= 0,87 ../.
= 0,39 . ./.
= 468 . .
= 0,5*1792 = 896 ./.
5.
:
= -* = 1559-0,39*896 = 1210 . . (3.9)
.. , 1210 . ., , 468 . ., .
3) , , , :
= 1,5* = 1,5*1792 = 2688 ./ .;
= 860 . .;
= 0,39 . ./.;
= 3*(*1,37+) = 3*(0,12*1,37+0,27) = 1,3032 . ./.
6.
:
= -- ../ (3.10)
.. , 0,543 . ., , 468 . ., .
, , .
4) , , , :
= 0,87 ../.;
= 1792 ./.;
= 860 . .;
= 0,12 ../.
7.
:
= -- ../. (3.11)
.. , 0,01*1792 = 17,92 . .
( ), , .
, , :
3.2
. | ( , =0) | ( , =0,3* ) | |
1. , . | . . | ||
2. , , . | . | 0,12 | 0,12 |
3. , . | . ./ | 171,71 | 171,71 |
4. , | . | ||
: | |||
- | -- | 14,3 | 14,3 |
- | -- | ||
- % | -- | 838,2 | 838,2 |
- | -- | 0,6 | 0,6 |
5. , | . ./. | 0,39 | 0,39 |
: | |||
- | -- | 0,12 | 0,12 |
- | -- | 0,27 | 0,27 |
6. , | /. | - | |
7. | /. | - | |
8. | ./. | ||
9. , | . ./. | 1,56 | 1,94 |
10. , | . ./ | 0,70 | 0,70 |
: | |||
- | -- | ||
- | -- | 0,39 | 0,39 |
11. | . ./ | - | 0,468 |
12. | ./ | ||
13. | ./ | ||
14. | % | ||
15. | % |
3.2 :
1) , , ;
2) 1792 ./.;
3) , 468 . ., 2767 ./.;
4) ;
5) 0, 0,468 . .;
6) , 169 ./.;
7) , 169./.;
8) , , :54% 12%.
, , , , .
:
1. = 140 ./.;
2. = 7 . .
3. =2543 ./.;
4. % (37%).
:
1. , :
=* = 0,12*2543 = 305,16 ../. (4.1)
= + = 6+305,16 = 311,16 . ./.
.. , 305,16 . ./., 311,16 . ./..
2. ():
1) : 1000 ./.;
2) : 1000 ./.;
3) : 1000./.;
4) : 550 ./.;
5) : 1000 ./.;
6) : 3000 ./.;
7) : 200 ./.
, = 1000+1000+1000+1000+550+3000+200= 7750./.
( 5500.), , .
:
1. = 860 . ./.;
2. = (-140,-230). ./.;
3. , : = 1792 ./.;
4. : = 2543 ./.
:
1. 3.2 ( 3) , () :
= (5.1)
, , ( 3.2: 480 ./., , , .. , 311./.), . .
2. , , . ( ) :
1 ;
2 , 1 ;
: ; /2; 2*.
5.1