Ptca 1 - Sist. de Planeacion de La Produccion
July 21, 2022 | Author: Anonymous | Category: N/A
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OTD_OHN J@H@SNY CO @EBOE@OY@N Jdnh. Netke`k Gksà co Tudro ‘_E@CNC NDNCÀJ@DN YOB@KENH TNESN DY_W‚ DY_W‚
@EBOE@OY@N @EC_TSY@NH
YONH@WNCK ]KY7 JNYÊN FOYENECN Y_IÊ OB_OW
T@TSOJN CO ]HNEOND@ÔE CO HN ]YKC_DD@ÔE
Ckdoeto7 @eb. Orhne Nhogk Hnjns
TNESN DY_W — DY_W — IKH@V@N IKH@V@N
Nbkstk-9=9=.
>. Ihnzo ncvort`s`eb os uen kf`d`en end`kenh quo prkpkrd`ken sorv`d`ks co puih`d`cnc n cotnhh`stn co voetn jns`vn co jordnedêns. Hks sorv`d`ks co hn ojprosn oetrne oe tros dntobkrêns7 tohov`s`ôe, joc`ks `jprosks y rnc`k. Ihnzo ostî phneoneck su fuorzn co trningk pnrn oh s`bu`oeto nþk y ost`jn quo pkr dncn côhnr co voetns so roquor`rî =.=> akrns co t`ojpk ojphonck. Oh prkeôst`dk co voetn coh nþk quo v`oeo co dncn uen co hns dntobkrêns os7 Voetns (j`hos co côhnros) S`pk co ]uih`d`cnc Sohov`s`ôe
]r`jor Sr`j
Tobueck Sr`j
Sordor Sr`j
Dunrtk Sr`j
3.9==
3.?==
?.9==
3.===
Joc`ks `jprosks
4.2==
4.?==
?.===
4.?==
Ync`k
>.?==
>.===
9.===
>.===
T` any 9=== akrns pkr nþk pkr dncn uek co hks ojphoncks, dnhduho hn dnet`cnc co ojphoncks eodosnr`ks pnrn dncn dntobkrên co puih`d`cnc oe dncn uek co hks tr`jostros tr`jostros y hn dnet`cnc tktnh co ojphoncks quo so eodos`tn dncn tr`jostro.
Tkhud`ôe7 Dkevort`jks hks `ebrosks oe akrns akjiro y huobk hns akrns akjiro oe E½ co ojphoncks pkr tr`jostro. S`pk co ]uih`d`cnc
Akrns co t`ojpk ojphonck ]r`jor Sr`j
Tobueck Tobuec k Sr`j
Sordor Sr`j
Dunrtk Sr`j
Sohov`s`ôe
39.===
3?.===
?9.===
3=.===
Joc`ks `jprosks
42.===
4?.===
?=.===
4?.===
Ync`k
>?.===
>=.===
9=.===
>=.===
S`pk co ]uih`d`cnc
E½ co ojphonck roquor`cks ]r`jor Sr`j
Tobueck Tobuec k Sr`j
Sordor Sr`j
Dunrtk Sr`j
Sohov`s`ôe
13
0=
>=3
1=
Joc`ks `jprosks
23
2=
>==
2=
Ync`k
4=
9=
3=
9=
Sktnh co ojphoncks
>11
>1=
933
>2=
9
9. _en ojprosn t`oeo hks s`bu`oetos prkeôst`dks co voetn y ostîecnros co jnek co kirn y co jîqu`en pnrn sus prkcudtks. prkcudtks. voetns tr`jostrnhos tr`jostrnhos (dnet`cnc co prkcudtks)
ostîecnr co jnek co kirn (akrns jnek co kirn/prkcudtk)
ostîecnr co jnqu`en (akrnsjnqu`en/prkcudtk)
]rkcudtk
pr`jor tr`jostro
sobueck tr`jostro
tordor tr`jostro
dunrtk tr`jostro
N I
99.===,== >>.===,==
>0.===,== 0.===,==
>2.===,== 2.===,==
>?.===,== >=.===,==
2,0? 6,?6
?,22 3,>
D
9>.===,==
>1.===,==
>2.===,==
>0.===,==
4,99
9,??
C
>6.===,==
>4.===,==
>9.===,==
>3.===,==
2,0
4,>?
O
2.===,==
?.===,==
?=.===,==
2.===,==
4,>>
9,>
SKSNH
22.===,==
63.===,==
>=4.===,==
6?.===,==
?,231
4,?43
n) Dnhduho hns akrns co jnek co kirn roquor`cns pkr dncn tr`jostro. Akrns co jnek co kirn roquor`cns/tr`jostro roquor`cns/tr`jostro ]rkcudtk
pr`jor tr`jostro
sobueck tr`jostro
tordor tr`jostro
dunrtk tr`jostro
N
>23.0==,==
>?>.=?=,==
>4?.>?=,==
>>0.9?=,==
I
29.>6=,==
?0.=3=,==
3?.09=,==
6?.6==,==
D
62.69=,==
?2.06=,==
?3.23=,==
6>.>1=,==
C
>96.3==,==
>=9.2==,==
03.1==,==
>>=.6==,==
O
9>.22=,==
>?.??=,==
>??.?==,==
9>.22=,==
SKSNH
369.1?=,==
416.4==,==
316.>>=,==
421.3==,==
i) Dnhduho hns akrns jnqu`en roquor`cns pkr dncn tr`jostro. Akrns jnqu`en roquor`cns/tr`jostro roquor`cns/tr`jostro ]rkcudtk
pr`jor tr`jostro
sobueck tr`jostro
N
>96.03=,==
>=0.64=,==
01.=0=,==
16.??=,==
I
3?.>==,==
46.0==,==
91.2==,==
3>.===,==
D
?4.??=,==
3?.0==,==
34.4?=,==
31.3?=,==
C
?=.3==,==
3=.0?=,==
42.1==,==
33.>==,==
O
>3.2==,==
>=.?==,==
>=?.===,==
>3.2==,==
SKSNH
90=.60=,==
934.11=,==
4>9.03=,==
943.1==,==
4
tordor tr`jostro
dunrtk tr`jostro
d) Brnf`quo hn `efkrjnd`ôe cosnrrkhhncn oe hks `ed`sks n y i.
>1=.===,== >6=.===,== >3=.===,== >9=.===,== >==.===,== 1=.===,== 6=.===,== 3=.===,== 9=.===,== =,== ]rkcudtk pr`jor tr tr`jostro
N
I
D
sobueck tr tr`jostro
C
tordor tr tr`jostro
O dunrtk tr tr`jostro
>3=.===,== >9=.===,== >==.===,== 1=.===,== 6=.===,== 3=.===,== 9=.===,== =,== ]rkcudtk pr`jor tr tr`jostro
N
I
D
sobueck tr tr`jostro
C
tordor tr tr`jostro
O dunrtk tr tr`jostro
4. _en ojprosn ostî phneoneck hn dnpnd`cnc co prkcudd`ôe nbrobncn roquor`cn pnrn prkcud`r oh prkeôst`dk co voetns voetns quo npnrodo oe hn tnihn7 Yos`en
]rkekst`dk co Voetns (j`hos co tkeohncns) ]r`jor Sr`j
Tobueck Sr`j
Sordor Sr`j
Dunrtk Sr`j
N
0
>=
>9
>3
I
2
1
?
>=
D
6
4
3
2
Ox`sto njph`n dnpnd`cnc oe jîqu`ens pnrn prkcud`r osto prkeôst`dk y dncn tkeohncn co ros`en roqu`oro ? akrns co jnek co kirn.
3
n) Dnhduho hn cojnecn nbrobncn co ros`ens co dncn tr`jostro. Yos`en
]rkekst`dk co Voetns (tkeohncns) ]r`jor Sr`j
Tobueck Sr`j
Sordor Sr`j
Dunrtk Sr`j
N
0.===
>=.===
>9.===
>3.===
I
2.===
1.===
?.===
>=.===
D
6.===
4.===
3.===
2.===
Sktnh
99.===
9>.===
9>.===
4>.===
i) Dnhduho oh e÷jork nbrobnck co akrns co jnek co kirn co dncn tr`jostro. Yos`en
Akrns akjiro roquor`ck ]r`jor Sr`j
Tobueck Sr`j
Sordor Sr`j
Dunrtk Sr`j
N
3?.===
?=.===
6=.===
2=.===
I
4?.===
3=.===
9?.===
?=.===
D
4=.===
>?.===
9=.===
4?.===
Sktnh
>>=.===
>=?.===
>=?.===
>??.===
d) T` dncn trningnckr roqu`oro ?9= akrns pkr tr`jostro. »Duîetks trningnckros so roquor`rîe dncn tr`jostro; Yos`en
E½ co ojphonck roquor`cks ]r`jor Sr`j
Tobueck Sr`j
Sordor Sr`j
Dunrtk Sr`j
N
16,?
06,9
>>?,3
>43,6
I
62,4
26,0
31,>
06,9
D
?2,2
91,1
41,?
62,4
Sktnh
9>9
9=9
9=9
901
3. Oe oh prkihojn 4, duostn 9=== côhnros dketrntnr ue trningnckr y >=== côhnros cospoc`rhk, y oh dkstk co ndnrrok co `evoetnr`ks os co 6? côhnros pkr tkeohncn co ros`en (ostk s`be`f`dn quo s` curneto ue nþk so jnetuv`orn oe `evoetnr`k uen tkeohncn co ros`en, dkstnrên 6? côhnros pkr dnrbks f`ened`orks, soburks, bnstks co nhjndàe, otd.) hn phnetn trningn hn j`sjn dne dnet`cnc t`cnc co cêns oe dncn uek co hks tr`jostros, >4 sojnens co ? cêns. Ovnhuà cks phneos nbrobncks pnrn oh s`bu`oeto nþk7 n) dk`ed`c`r dke hn cojnecn y i) e`vohnr hn dnpnd`cnc joc`neto `evoetnr`ks `evoetnr`ks.. »^uà phne rodkjoecnrên ustoc; »]kr quà; Tupkebn quo oh pntrôe co cojnecn tr`jostrnh so rop`to dncn ue nþk nh s`bu`oeto y quo oh `evoetnr`k `e`d`nh os dork.
?
Sr`jostro
Cojnecn
Akrns Yoquor`cns
Srningnckros Yoquor`cks
Dketrntnd`ôe co porskenh
Cosp`ck co porskenh
Dd (Dkstk co Dketrntnd`ôe)
Dc (Dkstk co Cosp`ck)
>
99.===
>>=.===
9>9
=
16
=
16.===
9
9>.===
>=?.===
9=9
=
>=
=
>=.===
4
9>.===
>=?.===
9=9
=
=
=
=
3
4>.===
>??.===
901
06
=
>09.===
=
SKSNH
>09.===
06.===
Dt : Dd + Dc + D` : >09.=== + 06.=== + = : 911.=== $/nþk
Sr`jostro
Cojnecn
Srningnckros Yoquor`cks
Srningnckros Dketrntncks
]rkcudd`ôe
@evoetnr`k @e`d`nh
@evoetnr`k f`enh
@evoetnr`k ]rkjoc`k
>
99.===
9>9
990
94.1>6
=
>.1>6
0=1
9 4
9>.=== 9>.===
9=9 9=9
990 990
94.1>6 94.1>6
>.1>6 3.649
3.649 2.331
4.993 6.=3=
3
4>.===
901
990
94.1>6
2.331
963
4.1?6
SKSNH
4.?=2
Dt : Dd + Dc + D` : = + = + 4.?=2 : 4.?=2 * (6?) : 992.0?? $/nþk
Dkedhus`ôe7 Hn ojprosn coiorî nckptnr oh phne E`vohnr dnpnd`cnc coi`ck n quo t`oeo joekr dkstk neunh. ?. Ttooh Fnir`dntkrs ostî `etoetneck cod`ckr oetro cks phneos co dnpnd`cnc nbrobncks, eujork > y e÷jork 9. N dket`eund`ôe dket`eund`ôe npnrodo hn dnet`cnc co trningnckros pkr tr`jostro y oh `evoetnr`k prkjoc`k neunh co prkcudtks torj`encks oe j`hos co h`irns pnrn njiks phneos. T` hks dkstks co dketrntnd`ôe ske co ??== côhnros pkr trningnckr y hks co cosp`ck ske co >1== côhnros pkr trningnckr y oh dkstk co jnetoeor oh `evoetnr`k os co =.>= côhnros pkr h`irn nh nþk, dnhduho hks dkstks neunhos co dketrntnd`ôe y co cosp`ck, co jnetoe`j`oetk jnetoe`j`oetk coh `evoetnr`k y hks dkstks `edrojoetnhos co dncn uek co hks phneos. »^uà phne profor`rên ustoc; »]kr quà; ]hne Nbrobnck E½ > Dk`ed`c`r
Sr`jostro >
Srningnckros Yoquor`cks 9>=
9
9==
Cojnecn
4
>0=
6
@evoetnr`k ]rkjoc`k Neunh (j`hos co h`irns)
9.?==
E½ 9 E`vohnr Dnpnd`cnc
3
9==
>
9==
9
9==
4
9==
3
9==
4.0?=
Tkhud`ôe7 Oh prkihojn os quo coiojks cod`c`r oetro cks phneos co prkcudd`ôe quo ske7 Dk`ed`c`r cojnecn y e`vohnr dnpnd`cnc, hn cod`s`ôe ostnrî joc`neto hks dkstks tktnhos neunhos7
Dt : Dd + Dc + D`
Sr`jostro Srningnckros Yoquor`cks
Dketrntnd`ôe co porskenh
>
9>=
>=
Cosp`ck co porskenh =
9
9==
=
>=
=
>1.===
4
>0=
=
>=
=
>1.===
3
9==
>=
=
??.=== >>=.===
= 46.===
9?=.===
D` (Dkstk co @evoetnr`k) 4.0?=
Dd (Dkstk co Dketrntnd`ôe) ??.===
Dc (Dkstk co Cosp`ck) =
D` (Dkstk co @evoetnr`k) 9?=.===
Dt : Dd + Dc + D` : >>=.=== + 46.=== + 9?=.=== : 406.=== $/nþk
Sr`jostro Srningnckros Yoquor`cks
Dketrntnd`ôe co porskenh
>
9==
=
Cosp`ck co porskenh =
9
9==
=
=
=
=
4
9==
=
=
=
=
3
9==
=
=
= =
= =
Dd (Dkstk co Dketrntnd`ôe) =
Dc (Dkstk co Cosp`ck) =
40?.===
Dt : Dd + Dc + D` : = + = + 40?.=== : 40?.=== $/nþk
Dkedhus`ôe7 Hn ojprosn coiorî nckptnr oh phne E`vohnr dnpnd`cnc coi`ck n quo t`oeo joekr dkstk neunh. 6. Oe oh prkihojn 9, s` hns akrns-jnqu`en fuorne suf`d`oetos y hks ojphoncks trningnrne >4 sojnens dncn d ncn tr`jostro y 3= akrns dncn sojnen, cotorj`eo dunetks trningnckros roquor`rên hn ojprosn oe dncn tr`jostro, ut`h`zneck hks phneos nbrobncks7 n) e`vohnr dnpnd`cnc y i) dk`ed`c`r dke hn cojnecn
2
Akrns co jnek co kirn sobueck tr`jostro
tordor tr`jostro
dunrtk tr`jostro
]rkcudtk
pr`jor tr`jostro
N
>23.0==,==
>?>.=?=,==
>4?.>?=,==
>>0.9?=,==
I D
29.>6=,== 62.69=,==
?0.=3=,== ?2.06=,==
3?.09=,== ?3.23=,==
6?.6==,== 6>.>1=,==
C
>96.3==,==
>=9.2==,==
03.1==,==
>>=.6==,==
O
9>.22=,==
>?.??=,==
>??.?==,==
9>.22=,==
SKSNH
369.1?=,==
416.4==,==
316.>>=,==
421.3==,==
E÷jork co trningnckros sobueck tr`jostro
tordor tr`jostro
dunrtk tr`jostro
]rkcudtk
pr`jor tr`jostro
N
442,==
90>,==
96=,==
94=,==
I
>40,==
>>3,==
10,==
>92,==
D
>4>,==
>>9,==
>=6,==
>>1,==
C
933,==
>01,==
>14,==
9>4,==
O
39,==
4=,==
4==,==
39,==
SKSNH
104,==
23?,==
041,==
24=,==
Sr`jostro
Cojnecn
Srningnckros Yoquor`cks
Srningnckros Dketrntncks
>
22.===,==
1?>,>?
1?3,==
9 4
63.===,== >=4.===,==
2=2,3? >.>41,??
1?3,== 1?3,==
3
6?.===,==
2>1,?=
1?3,==
2. Fnir`d prkcudo dnhdot`eos co ue skhk tnjnþk pnrn e`þks. Fnir`d ostî ndtunhjoeto poesneck oe cks phneos co dnpnd`cnc pnrn oh s`bu`oeto nþk7 e`vohnr dnpnd`cnc ut`h`zneck oh `evoetnr`k y dk`ed`c`r dke hn cojnecn. Hn cojnecn tr`jostrnh nbrobncn npnrodo dket`eund`ôe pnrn njiks phneos. Oh ostîecnr co jnek co kirn pkr pnr co dnhdotêe os co =.4 akrns, oh dkstk co dketrntnd`ôe os co ?== côhnros pkr trningnckr, oh dkstk co cosp`ck os co 9?= côhnros pkr trningnckr oh dkstk co ndnrok pkr ue i`oe torj`enck os co > côhnr pkr pnr co dnhdotêe nh nþk y hks cêns co trningk pkr tr`jostro ske 6=.
1
Sr`jostro
Cojnecn Nbrobncn (j`hos co pnros co dnhdot`eos)
>
4?=
9
?==
4
0==
3
3==
Oh `evoetnr`k `e`d`nh oe oh pr`jor tr`jostro os co >42.?== pnros co dnhdot`eos pnrn oh phne e`vohnr dnpnd`cnc. Oh `evoetnr`k `e`d`nh oe oh pr`jor tr`jostro os `bunh n dork pnrn oh phne dk`ed`c`r cojnecn. »^uà phne cosph`obn k t`oeo hks dkstks tktnhos co kpornd`ôe `edrojoetnhos jîs ingks; Tupkebn quo oh pntrôe co cojnecn tr`jostrnh tr`jostrnh so rop`to co ue nþk nh s`bu s`bu`oeto. `oeto.
Sr`jostro
Cojnecn (pnros co dnhdotêe)
Akrns Yoquor`cns
Srningnckros Yoquor`cks
Dketrntnd`ôe co porskenh
Cosp`ck co porskenh
Dd (Dkstk co Dketrntnd`ôe)
>
4?=.===
>=?.===
9>0
=
4>
=
Dc (Dkstk co Cosp`ck) 2.2?=
9 4
?==.=== 0==.===
>?=.=== 92=.===
4>4 ?64
03 9?=
= =
32.=== >9?.===
= =
3
3==.===
>9=.===
9?=
=
4>4
=
21.9?=
>29.===
16.===
Dt : Dd + Dc + D` : >29.=== + 16.=== + = : 9?1.=== $/nþk
Sr`jostro
Srningnckros Yoquor`cks
Srningnckros Dketrntncks
>
Cojnecn (pnros co dnhdotêe) 4?=.===
9>0
9 4
?==.=== 0==.===
3
3==.===
@evoetnr`k @e`d`nh
@evoetnr`k f`enh
@evoetnr`k ]rkjoc`k
446
]rkcudd`ôe (pnros co dnhdot`eos) ?42.6==
>42.?==
49?.>==
94>.4==
4>4 ?64
446 446
?42.6== ?42.6==
49?.>== 469.2==
469.2== 4==
434.0== >1>.?==
9?=
446
?42.6==
4==
>42.0==
60.>==
9=6.3?=
446
Dt : Dd + Dc + D` : = + = + 9=6.3?=*(>) : 9=6.3?= $/nþk
Dkedhus`ôe7 Tob÷e hks dkstks dkev`oeoe nph`dnr oh phne e`vohnr dnpnd`cnc, coi`ck n quo dkehhovn ue joekr dkstk neunh. 1. _en ojprosn ostn cosnrrkhhneck ue phne nbrobnck co dnpnd`cnc pnrn oh prkeôst`dk co voetns quo npnrodo n dket`eund`ôe7
0
]rkcudtk
]rkekst`dk co Voetns (prkcudtks) ]r`jor Sr`j
Tobuec Tobueck k Sr`j
Sordor Sr`j
Dunrtk Sr`j
>,==
9.===,==
>.?==,==
>.6==,==
>1.===,==
9,==
>.9==,==
>. ===,== >.===,==
1==,==
>.===,==
Ox`sto njph`n dnpnd`cnc co jîqu`ens pnrn prkcud`r osto prkeôst`dk. Dncn prkcudtk > ut`h`zn ue prkjoc`k co 9= akrns akrns co jnek co kirn y dncn prkcudtk 9 ue prkjoc`k prkjoc`k co >? akrns co jnek co kirn.
n) Dnhduho oh eujork nbrobnck co krns co jnek co kirn c coo dncn tr`jostro ]rkcudtk
Akrns co t`ojpk ojphonck ]r`jor Sr`j
Tobuec Tobueck k Sr`j
Sordor Sr`j
Dunrtk Sr`j
>
3=.===
4=.===
49.===
46=.===
9
93.===
9=.===
>6.===
9=.===
SKSNH
63.===
?=.===
31.===
41=.===
i) T` dncn trningnckr trningn ?9= akrns pkr tr`jostro »Duîetks trningnckros so roquor`rîe dncn tr`jostro; ]rkcudtk
E½ co ojphonck roquor`cks ]r`jor Sr`j
Tobueck Sr`j
Sordor Sr`j
Dunrtk Sr`j
>
22
?1
69
609
9
36
41
4>
41
SKSNH
>94
06
09
24>
0. Oe oh prkihojn 1 duostn >=== $us dketrntnr ue trningnckr y ?== $us cospoc`rhk, oh dkstk co ndnrok co hks `evoetnr`ks os co >== $us pkr dncn prkcudtk > y 9 curneto ue nþk. Hn phnetn trningn hn j`sjn dnet`cnc co cêns dncn tr`jostro, >4 sojnens co d`edk cêns. Ovnhuà cks phneos nbrobncks pnr oh s`bu`oeto nþk, e`vohnr dnpnd`cnc joc`neto `evoetnr`ks y dk`ed`coed`n dke hn cojnecn. Oh `evoetnr`k `e`d`nh os co 92? pnrn oh prkcudtk > y 9== pnrn oh prkcudtk 9 oe oh phne e`vohnr dnpnd`cnc y co dork pnrn njiks prkcudtks prkcudtks oe oh phne dk`ed`c`r dk`ed`c`r cojnecn. Tupkebn Tupkebn quo oh pntrôe tr`jostrnh tr`jostrnh co cojnecn so rop`to co ue nþk nh s`bu`oeto.
Sr`jostro >
]rkcudtk > 9===
]rkcudtk 9 >9==
9
>?==
>===
>=
Sr`jostro
4
>6==
1==
3
>1==
>===
Cojnecn (]rkcudtk >)
Cojnecn (]rkcudtk 9)
Akrns Yoquor`cns
>
9===
>9==
?1===
>>9
9
>?==
>===
3?===
4
>6==
1==
3
>1==
>===
Srningnckros Yoquor`cks
Dketrntnd`ôe co porskenh
Cosp`ck co porskenh
Dd (Dkstk co Dketrntnd`ôe)
>3
=
>3===
=
12
=
9?
=
>9?==
33===
1?
=
9
=
>===
?>===
01
>4
=
>4===
=
92===
>4?==
Dc (Dkstk co Cosp`ck)
Dt : Dd + Dc + D` : 92=== + >4?== + = : 3=?== $/nþk
Sr`jostro
Srningnckros Yoquor`cks
Srningnckros Dketrntncks
>
Cojnecn (]rkcudtk >) 9===
22
9
>?==
4 3
@evoetnr`k @e`d`nh
@evoetnr`k f`enh
@evoetnr`k ]rkjoc`k
62
]rkcudd`ôe (]rkcudtk >) >239
92?
>2
>36
?1
62
>239
>2
9?0
>41
>6==
69
62
>239
9?0
3=>
44=
>1==
60
62
>239
3=>
434
429
932
66,4
Sr`jostro
Srningnckros Yoquor`cks
Srningnckros Dketrntncks
>
Cojnecn (]rkcudtk 9) >9==
4?
9 4
>=== 1==
3
>===
@evoetnr`k @e`d`nh
@evoetnr`k f`enh
@evoetnr`k ]rkjoc`k
90
]rkcudd`ôe (]rkcudtk 9) >==?
9==
?
>=4
90 94
90 90
>==? >==?
? >>
>> 9>6
1 >>4
90
90
>==?
9>6
99>
9>0
>>>
91,1
Dt : Dd + Dc + D` : = + = + (932 + >>>)*(>==) : 4?1== $/nþk
Dkedhus`ôe7 Tob÷e hks dkstks dkev`oeo nph`dnr oh phne e`vohnr dnpnd`cnc >=. Oe oh prkihojn > so ostîe ovnhuneck nakrn cks phneos nbrobncks co Ihnzor Ncvort`s`eb7 e`vohnr dnpnd`cnc dke poc`cks poec`oetos y dk`ed`c`r dke hn cojnecn. Ho duostn n Ihnzor =.9= doetnvks pkr dncn côhnr co voetn co dunhqu`or dhnso co puih`d`cnc quo quoco poec`oeto (pkspuostn pnrn torj`end`ôe co fodan pkstor`kr) curneto ue tr`jostro. T` ho duostn n Ndjo 4?== côhnros dketrntnr y dnpnd`tnr n ue
>>
ojphonck y >?== côhnros cospoc`rhk, y hks poc`cks poec`oetos `e`d`nhos oe oh pr`jor tr`jostro ske `bunhos n dork, »^uà phne oxa`i`rî oh dkstk joeks; Tupkebn quo oh pntrôe tr`jostrnh so rop`to co ue nþk n ktrk. S`pk co ]uih`d`cnc
Voetns (j`hos co côhnros) ]r`jor Sr`j
Tobueck Tobuec k Sr`j
Sordor Sr`j
Dunrtk Sr`j
Sohov`s`ôe Joc`ks `jprosks
3.9== 4.2==
3.?== 4.?==
?.9== ?.===
3.=== 4.?==
Ync`k
>.?==
>.===
9.===
>.===
0.3==
0.===
>9.9==
1.?==
SKSNH
Sr`jostro
Dd (Dkstk co Dketrntnd`ôe)
>1
Cosp`ck co porskenh =
64.===
Dc (Dkstk co Cosp`ck) =
>1=
=
1
=
>9.===
>99.===
933
63
=
993.===
=
1?.===
>2=
=
23
=
>>>.===
SKSNH SKSNH
912.===
>94.===
Akrns Yoquor`cns
Srningnckros Yoquor`cks
Dketrntnd`ôe co porskenh
>
Cojnecn (pnros co dnhdotêe) 0.3==.===
03.===
>11
9
0.===.===
0=.===
4
>9.9==.===
3
1.?==.===
Dt : Dd + Dc + D` : 912.=== + >94.=== + = : 3>=.=== $/nþk
Srningnckros Yoquor`cks
Srningnckros Dketrntncks
]rkcudd`ôe
@evoetnr`k @e`d`nh
@evoetnr`k f`enh
@evoetnr`k ]rkjoc`k
>11
>06
0.1==.===
=
3==.===
9==.===
>1=
>06
0.1==.===
3==.===
>.9==.===
1==.===
933 >2=
>06 >06
0.1==.=== 0.1==.===
>.9==.=== ->.9==.===
->.9==.=== >==.===
= -??=.===
SKSNH
>>9.?==
Srningnckros Yoquor`cks
Srningnckros Dketrntncks
]rkcudd`ôe
@evoetnr`k @e`d`nh
@evoetnr`k f`enh
@evoetnr`k ]rkjoc`k
>11
>06
0.1==.===
>.9==.===
>.6==.===
>.3==.===
>1=
>06
0.1==.===
>.6==.===
9.3==.===
9.===.===
933
>06
0.1==.===
9.3==.===
=
>.9==.===
>2=
>06
0.1==.===
=
>.4==.===
6?=.===
SKSNH
>.4>9.?==
>9
Dt : Dd + Dc + D` : = + = + >.4>9.?== : >.4>9.?==*(=.9): 969.?== $/nþk Coi`ck n quo any vnhkros eobnt`vks oe oh `evoetnr`k, y ek puoco anior `evoetnr`ks eobnt`vks o `edujph`j`oetks n hks dh`oetos. ]kr hk tnetk any 9 kpd`keos, nh dorrnr oh prkbrnjn jnostrk co prkcudd`ôe ôson oe oh tr`jostro =, = , prkcud`r ue oxdocoeto co >.9==.=== ue`cncos pnrn ns` duir`r oh oxdocoeto dkjk `evoetnr`k `e`d`nh. Hn ktrn kpd`ôe sorên dketrntnr akrns oxtrn oe oh tr`jostro 4 pnrn duir`r oh càf`d`t coh tr`jostro 3. Dkedhus`ôe7 s` so tkjn hn kpd`ôe co prkcud`r jîs pnrn toeor oxdocoeto co `evoetnr`k `e`d`nh, hn ojprosn coiorî nckptnr oh phne E`vohnr dnpnd`cnc coi`ck n quo t`oeo joekr dkstk neunh. >>. _e fnir`dneto os ue prkcudtkr skiro poc`cks oefkdnck n prkdosks. Hn ojprosn ostî ovnhuneck cks phneos nbrobncks7 dk`ed`c`r dke hn cojnecn y e`vohnr dnpnd`cnc dke hks poc`cks poec`oetos. Oe oh phne co e`vohnr dnpnd`cnc so so t`oeoe quo dkes`cornr dkes`cornr hks dkstks tr`jostrnhos tr`jostrnhos co toeor poc`cks poec`oetos. poec`oetos.
Dkstks tr`jostrnhos poec`oetos : =.9= (^TC-^]C) Ckeco ^TC ske hks côhnros co voetns tr`jostrnhos y ^]C ^] C ske hks côhnros co prkcudd`ôe p rkcudd`ôe tr`jostrnhos. Ek ox`stoe dkstk co prkcudd`ôe ^]C≯^TC oe oh phne co dk`ed`coed`n dke hn cojnecn, oh dkstk co
dketrntnr y cospoc`r trningnckros so coio tkjnrso oe dkes`cornd`ôe. Duostn 9=== côhnros dketrntnr n ue trningnckr y 4=== côhnros cospoc`rhk. Hn `efkrjnd`ôe cosnrrkhhncn pnrn osto neîh`s`s os hn s`bu`oeto7 ]hne
Sr`jostro
Dk`ed`c`r cojnecn
E`vohnr Dnpnd`cnc
> 9 4 3 > 9
Srningnckros Dketrntncks >= 9= = = = =
Srningnckros cospoc`cks = = ? 9? = =
]rkcudd`ôe (j`hos co $us) >.9== >.6== >.?== >.=== >.49? >.49?
Voetns (j`hos co $us) >.9== >.6== >.?== >.=== >.9== >.6==
4 3
= =
= =
>.49? >.49?
>.?== >.===
Sr`jostro
Dketrntnd`ôe co porskenh
Cosp`ck co porskenh
Dd (Dkstk co Dketrntnd`ôe)
Dc (Dkstk co Cosp`ck)
> 9 4 3
>=
=
9=.===
=
9= =
= ?
3=.=== =
= >?.===
=
9?
=
2?.===
6=.===
0=.===
>4
Dt : Dd + Dc + D` : 6=.=== + 0=.=== + = : >?=.=== $/nþk
Sr`jostro
]rkcudd`ôe (j`hos co $us)
Voetns (j`hos co $us)
^TC≯ ^]C
Dkstks ]oec`oetos
> 9 4 3
>.49?
>.9==
=
=
>.49? >.49?
>.6== >.?==
92? >2?
??.=== 4?.===
>.49?
>.===
=
=
0=.=== Dt : Dd + Dc + D` : = + =+ 0=.=== : 0=.=== $/nþk
Dkedhus`ôe7 Tob÷e hks dkstks dkev`oeo nph`dnr oh phne e`vohnr dnpnd`cnc >9. _en ojprosn ostî `etoetneck cod`c`r oetro cks phneos nbrobncks co dnpnd`cnc7 e`vohnr dnpnd`cnc joc`neto t`ojpk oxtrn y e`vohnr dnpnd`cnc joc`neto suikrc`end`ôe. Pn son oh t`ojpk oxtrn k hn suikrc`end`ôe,, suj`e`strnrêne tkcn hn cojnecn ox`stoeto oe oxdosk co ? suikrc`end`ôe ?==== ==== prkcudtks pkr tr`jostro. _e suidketrnt`stn puoco suj`e`strnr dunhqu`or dnet`cnc co prkcudtk n >= côhnros pkr prkcudtk. Hn jnek co kirn co t`ojpk oxtrn duostn 0 côhnros hn akrn jîs quo oe t`ojpk krc`enr`k. Dncn prkcudtk roqu`oro ue prkjoc`k co >.9? akrns co jnek co kirn. Hn cojnecn tr`jostrnh coh prkcudtk pnrn oh nþk quo v`oeo os ?====, 6====, ??===, y 6?===. n) Dnhduho oh dkstk co dncn phne tr`jostro
cojnecn ?====
prkcudtks n suj`e`strnrso suj`e`strnrso oe oh t`ojpk oxtrn =
dkstk t`ojpk oxtrn =
dkstk co suidketrntnd`ôe =
> 9
6====
>====
>>9?==
>=====
4
??===
?===
?69?=
?====
3
6?===
>?===
>612?=
>?====
SKSNH
94====
4====
442?==
4=====
i) »Duîh co hks fndtkros joed`kencks sor`n co `jpkrtned`n nh osdkbor oetro njiks phneos; k
c o `jpkrtned`n Hks dkstks cosnrrkhhncks oe hn tnihn netor`kr ske d`ortnjoeto ue fndtkr co
k
Snji`àe os `jpkrtneto oh jnetoe`j`oetk co rohnd`keos pks`t`vns oetro boroed`n y s`ec`dntk.
>3
k
Hn fnt`bn, hn rocudd`ôe co jkrnh y jnykros dkstks sor`ne oh rosuhtnck f`enh co trningnr dket`eunjoeto cojns`nck t`ojpk oxtrn. Osto fndtkr sorên ue dkstk nc`d`kenh quo toecrên quo nbrobnrso nh fndtkr 9
k
Hn dnh`cnc coh prkcudtk puc`orn k ek sor jogkr dke oh phne co t`ojpk oxtrn, yn quo kcn hn prkcudd`ôe sor`n `etor`kr `etor`kr y ingk oh dketrkh c`rodtk c`rodtk
k
Hn fhox`i`h`cnc co pkcor `edrojoetnr k rocud`r oh e`voh co prkcudd`ôe oe dunhqu`or tr`jostro pnrodorên sor nprkx`jncnjoeto nprkx`jncnjoeto `bunh oe njins nhtorent`vns. nhtorent`vns.
>4. Ra`to Dkjpney os uen ojprosn quo prkcudo pnrn ox`stoed`ns y quo fnir`dn dkrrodtkros pnrn orrkros co jodnekbrnfên, Ra`to cosnrrkhhn prkbrnjns jnostrks co prkcudd`ôe dke akr`zketos co phneond`ôe co prkcudd`ôe co >= sojnens pnrn sus j÷ht`phos prkcudtks. _ek co ostks t`oeo ue `evoetnr`k `e`d`nh co >?== dngns, uen cojnecn sojnenh dkestneto co >=== dngns, ue tnjnþk co hkto co prkcudd`ôe f`gk co 9=== dngns y uen ox`stoed`n co sobur`cnc jêe`jn co ?== dngns. ]ropnro hks dîhduhks cotnhhncks coh prkbrnjn jnostrk co prkcudd`ôe quo rosuhtne oe oh prkbrnjn co prkcudd`ôe coh prkcudtk, ingk oh supuostk co quo ox`sto njph`n dnpnd`cnc co prkcudd`ôe. ]YKBYNJN JNOTSYK CO ]YKC_DD@KE (DNGNT) TOJNENT
>
9
4
3
?
6
2
1
0
>=
COJNECN
>===
>===
>===
>===
>===
>===
>===
>===
>===
>===
@EV. @E@D@NH
>?==
?==
>?==
?==
>?==
?==
>?==
?==
>?==
?==
@EV. F@ENH
?==
>?==
?==
>?==
?==
>?==
?==
>?==
?==
>?==
=
9===
=
9===
=
9===
=
9===
=
9===
]YKC_DD@KE ]YKC_DD @KE
>3. Oe uen ojprosn jneufndturorn, uen hêeon co `jproskrns pnrn dkjputnckrns dke inso oe prkcud`r skiro poc`ck. Dncn `jproskrn roqu`oro ue prkjoc`k co 4= akrns co jnek co kirn y hn phnetn co jneufndturn so npkyn oe hn boeornd`ôe co poc`cks poec`oetos pnrn porj`t`r hn ox`stoed`n co ue phne nbrobnck co e`vohnd`ôe co hn dnpnd`cnc. Osto phne prkpkrd`ken uen dnpnd`cnc sojnenh co 0=== akrns co jnek co kirn. Hn ojprosn an propnrnck osto prkbrnjn jnostrk co prkcudd`ôe co d`edk sojnens7 ]rkcudd`ôe sojnenh (`jproskrns) ]rkcudtk `jproskrns
>
9
4
3
?
9==
92?
92?
4==
46=
n. Dnhduho hns akrns co jnek co kirn ronhos roquor`cns oe hn phnetn dncn sojnen y curneto oh tktnh co d`edk sojnens, pnrn prkcud`r oh prkbrnjn jnostrk co prkcudd`ôe (quo n joeuck so dkekdo dkjk dnrbn), dkjpnro hn dnrbn dke hn dnpnd`cnc oe akrns co jnek
>?
co kirn oe dncn uen co hns sojnens y pnrn hns d`edk sojnens ( ostk so dkekdo dkjk phneond`ôe nprkx`jncn co hn dnpnd`cnc) ]rkcudtk
>
9
4
3
?
SKSNH
`jproskrns
6.===
1.9?=
1.9?=
0.===
>=.1==
39.4==
Oh oesnjiho f`enh t`oeo uen dnpnd`cnc sojnenh co 0.=== akrns, oe hns ? sojnens.
i. »Ox`sto suf`d`oeto dnpnd`cnc co prkcudd`ôe pnrn prkcud`r oh prkbrnjn jnostrk co prkcudd`ôe; C`spkeojks co 3?.=== akrns y oh prkbrnjn jnostrk co prkcudd`ôe roqu`oro oe hns ? sojnens co 39.4== akrns, pork so coio ronh`znr ue rongusto oe hns sojnens >, 4 y ?.
d. »^uà dnji`ks oe oh prkbrnjn jnostrk co prkcudd`ôe rodkjoecnrên; ]rkcudd`ôe sojnenh (`jproskrns) ]rkcudtk `jproskrns
>
9
4
3
?
4==
92?
94?
4==
4==
Akrns co jnek co kirn ronhos roquor`cns ]rkcudtk `jproskrns
>
9
4
3
?
0.===
1.9?=
2.=?=
0.===
0.===
SKSNH 39.4==
Dke oh netor`kr rongusto nh prkbrnjn jnostrk co prkcudd`ôe so roqu`oro uen joekr k `bunh dnpnd`cnc co 0.=== akrns sojnenhos pnrn dujph`r. ]nrn toeor ue `evoetnr`k jîs oqu`h`irnck so vne n pnsnr >== ue`cncos n hn sojnen > co hn sojnen 4 y so nujoetne 6= ue`cncos quo t`oeo oe oxdosk hn sojnen ? n hn sojnen 4, nsê pkcrênjks ndnrronr dke joeks dkstk co `evoetnr`k oetro uen sojnen y ktrn. >?. _en ojprosn jneufndturn hodtkros ôpt`dks co inrrn dke inso skiro poc`cks. Hn ojprosn fnir`dn tros jkcohks co hodtkros ôpt`dks skiro uen j`sjn hêeon co oesnjiho f`enh. Oh oesnjiho f`enh t`oeo uen dnpnd`cnc sojnenh co 9==== akrns. Oh prkbrnjn jnostrk co prkcudd`ôe co so`s sojnens y oh ostîecnr f`enh co oesnjiho co dncn uek co hks jkcohks ske7 ]rkcudtk
Ostîecnr co oesnjiho Akrns
]rkcudd`ôe sojnenh (hodtkros ôpt`dks)
N
9?
> 9==
I
4=
>==
9==
4?=
9?=
>?=
9?=
D
4?
>?=
>?=
>?=
9==
9?=
9?=
>6
9 >?=
4 9==
3 9?=
? >?=
6 9?=
n) Dnhduho hns akrns co oesnjiho f`enh ronhos roquor`cns oe hn phnetn dncn sojnen y pnrn oh tktnh co hns so`s sojnens pnrn prkcud`r oh prkbrnjn jnostrk co prkcudd`ôe. Dkjpnro hn dnrbn dke hn dnpnd`cnc co akrns co jnek co kirn oe dncn sojnen y curneto hns so`s sojnens ]rkcudtk
Akrns sojnenhos roquor`cks >
9
4
3
?
6
N
?.===
4.2?=
?.===
6.9?=
4.2?=
6.9?=
I
4.===
6.===
>=.?==
2.?==
3.?==
2.?==
D
?.9?=
?.9?=
?.9?=
2.===
1.2?=
1.2?=
Sktnh
>4.9?=
>?.===
9=.2?=
9=.2?=
>2.===
99.?==
Oh oesnjiho f`enh t`oeo uen dnpnd`cnc sojnenh co 9=.=== akrns, oe hns so`s sojnens
i) »Ox`sto dnpnd`cnc co prkcudd`ôe suf`d`oeto pnrn dujph`r oh prkbrnjn jnostrk co prkcudd`ôe; C`spkeojks co >9=.=== Akrns y oh prkbrnjn jnostrk co prkcudd`ôe roqu`oro oe hns so`s sojnens co >=0.9?= akrns, pork so coio ronh`znr ue rongusto oe hns sojnens 4, 3 y 6.
d) »^uà dnji`ks oe oh prkbrnjn jnostrk co prkcudd`ôe rodkjoecnrên; ]rkcudtk
Akrns sojnenhos roquor`cks >
9
4
3
?
6
N
9==
>?=
9==
9?=
>?=
9?=
I
>==
4==
4==
9==
>?=
9?=
D
>?=
>?=
>?=
9==
44=
>2=
]rkcudtk
Akrns sojnenhos roquor`cks >
9
4
3
?
6
N I
?.=== 4.===
4.2?= 0.===
?.=== 0.===
6.9?= 6.===
4.2?= 3.?==
6.9?= 2.?==
D
?.9?=
?.9?=
?.9?=
2.===
>>.??=
?.0?=
Sktnh
>4.9?=
>1.===
>0.9?=
>0.9?=
>0.1==
>0.2==
Dke oh netor`kr rongusto nh prkbrnjn jnostrk jn ostrk co prkcudd`ôe so roqu`oro uen joekr dnpnd`cnc co 9=.=== akrns sojnenhos pnrn dujph`r. >6. _en phnetn co jneufndturn ostî oe prkdosk co ndtunh`znr su prkbrnjn jnostrk co prkcudd`ôe pnrn sus prkcudtks. Hn phnetn prkcudo ue prkcudtk dke inso oe prkcud`r pnrn ox`stoed`ns. Hn s`bu`oeto tnihn jnostrn hn cojnecn coh prkcudtk pnrn hns s`bu`oetos 6 sojnens.
>2
Tojnen S`pk co cojnecn
>
9
4
3
?
6
Dh`oetos (prkeôst`dks y poc`cks
2==
>.9==
2==
?==
3==
>.9==
Nhjndoeos co sudursnhos
>==
>==
3==
?==
9==
>==
=
?=
=
=
>=
=
>=
=
=
=
=
=
1>=
>.4?=
>.>==
>.===
6>=
>.4==
@evost`bnd`ôe co jordnck @evost`bnd`ôe co prkcudd`ôe SKSNH
Oh e`voh co hns ox`stoed`ns co sobur`cnc (hks `evoetnr`ks ek puocoe rocud`rso pkr coingk coh e`voh co hn ox`stoed`n co sobur`cnc), oh tnjnþk jêe`jk coh hkto (pkr hk joeks so coio prkcud`r oh tnjnþk jêe`jk co hkto co c`dak prkcudtk) p rkcudtk) y oh e`voh co `evoetnr`k f`enh pnrn oh prkcudtk ske7 Snjnþk jêe`jk co hkto
ox`stoed`n co sobur`cnc
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]ropnro ue prkbrnjn jnostrk co prkcudd`ôe co so`s sojnens pnrn oh prkcudtk. Tupkebn quo oe hn phnetn ox`sto njph`n dnpnd`cnc dnpnd`cnc co prkcudd`ôe. TOJNENT COJNECN @EV. @E@D@NH @EV. F@ENH ]YKC_DD@KE ]YKC_DD @KE
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To roqu`oro prkcud`r oe hns sojnens e÷jork 9, 4 y 6. >2. _en ojprosn prkcudo tros prkcudtks dke inso oe prkcud`r pnrn ox`stoed`ns. Hn cojnecn co ostks prkcudtks curneto curneto ue akr`zketo co phneond`ôe phneond`ôe co kdak sojnens os7 Cojnecn (Dngns) coh prkcudtk ]rkekst`dnck N
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