Investigacion de Operaciones Semana 2

 

BMX@VUBOCFBLM E@ LW@QCFBLM@V V`kcmc 1

 

WQ@V@MU WQ@V@MUCFBÖM CFBÖM E@J ELF@MU@ ELF@MU@

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V@FFBÖM E@ Q@H@Q@MFBC

V`kcmc 1 3. Wr` Wr`s`m s`mtcf tcfböm böm e`j fur fursl. sl. •   Fjcsbhbfcfböm

y hlrkujcfböm e` Kle`jls. Flstls hbils y vcrbcaj`s. Flstls hbils hr`mt` c flstls vcrbcaj`s `m jc hlrkujcfböm e` um kle`jl.

1. Vl Vlju jufb fböm öm e` e` prlaj prlaj`k `kcs cs •   Hlrkujcfböm

e` kle`jls e` Wrlorckcfböm Jbm`cj9 Q`strbffblm`s y Humfböm Lai`tbvl •   Vljufböm plr `j kâtlel orãhbfl. Orãhbfc e` Bm`fucfblm`s y flmtlrmls. Orãhbfc e` r`strbffblm`s y humfböm lai`tbvl. •

 Ãr`c Hcftbaj`. Vljufböm öptbkc.

 

V@FFBÖM E@ Q@H@Q@MFBC

@xck`m e` @mtrcec

 

V@FFBÖM E@ Q@H@Q@MFBC

Orupls e` trcacil Flebol 377762788

Mlkar`s

 

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Flebol

5

   

2 2 2

 

V@FFBÖM E@ Q@H@Q@MFBC

Jc `kpr`sc Arbf`

Arbf`` `st Arbf `stc pj pjcm cm`c `cme mel l su pr prle leuf ufffbö böm m pcr crcc `j v`rcm `rcml l 1,717 ,717 Jc flkpcóëc pu`e` prleufbr 6 prleuftls , fcec uml e` jls fucj`s r`qub`r` plrr 76 lp`r pl lp`rcf cfbl blm` m`s9 s9 @m jc tcajc s` las`rvcm jcs nlrcs e` lp`rcfböm r`qu`rbecs lp`rcfböm y plr prleuftl, csë   flkl fl kl jcs jcs nl nlrc rcss eb ebsp splm lmba baj` j`s. s. @j ãr`c e` v`mtcs kcmbhb`s `sttc qu` s` plerã v`me`r tlel jl qu` s` prleuzfc. JC o`r `r`m `mfb fbcc e` Arbf` e`s` `s`c sca`r, fucj s`rëc jc flkabmc bmcfböm e` prleu leuffböm qu` j` o`m`r `m`r`` jc kc kcyylr ut utbjbjbbec ece e pl plsb sbaj aj`. `.

 

V@FFBÖM E@ Q@H@Q@MFBC

Jc `kpr`sc Arbf`

Xcrbca crbcaj` j`ss e` e`fb e`fbsbö sböm m

Fcmt Fc mtbe bece ce`s `s c pr prle leuf ufbr br plr plr fc fcec ec prle prleuf uftl tl •

Q`st Q` strb rbff ffbl blm` m`ss e` nl nlrrcs eb ebsp splm lmba baj` j`ss pl plrr fce cecc r` r`fu furrsl

•

Q`strb Q`st rbff ffbl blm` m`ss e` ml m` m`oc octb tbvb vbec ece e Fcec Fc ec prle prleuf ufttl flm lmtr trba bauy uy`` c k` k`il ilrrcr c utbj utbjbbece ece e` jc `kpr `kpr`s `scc

•

Wr`oumtcs ^3 + 00 ^1 + 07 ^6 -3777 R3 ->77 R1 -277 R6….(3) E`hb E` hbmb mbfb fböm öm e` jcs jcs r`st r`strb rbffb ffblm lm`s `s

Q`str `strbf bffb fblm lm`s `s e` r`f `fur ursl slss y ml m` m`ooctbv ctbvbe bece ce 1 ^3 + 6 ^1 + 8 ^6 :; 877 (Kcqubmcel)………………… ………………….. ..… …(1) 8 ^3 + 6 ^1 + 5 ^6 :; 677 (Wujv`rbzcel)………………… ………………….. ..… …(6) 0 ^3 + 8 ^1 + 1 ^6 :; 577 (@msckaj`)…………………………(5) ^b = ; 7 b ; 3,1 3,1,6 ,6…..

 

V@FFBÖM E@ Q@H@Q@MFBC

@I@KWJL9 KLE@JL E@ UQCACICELQ@V Pm prlaj`kc usucj `m jcs `stcfblm`s e` s`ourbece fbuececmc `m pjcmbhbfcr jcs nlrcs e` trcacil e` jls s`r`mls, e` kcm`rc qu` s` kbmbkbf` `j mùk`rl tltcj e` flmsbst` s`r`mls csbomcels. @j turml e` fcec s`r`ml `s e` elf` nlrcs flms`futbvcs, y s` e`a` t`m`r `m fu`mtc qu` sljl plerãm flk`mzcr su turml cj bmbfbl e` fucjqub`r p`rëlel, `s e`fbr, mbmoùm s`r`ml plerëc bmbfbcr su turml c jcs 2977, 33977, `tf.  C flmtbmucfböm s` bmebfc jc fcmtbece fcmtbece r`qu`rbec e` s`r`mls plr p`rëlel9

W`rblel

Nlrcrbl

Q`qu`rbkb`mtl

3

78977 ‖ 31977

307

1

31977 ‖ 3>977

337

6

3>977 ‖ 77977

177

5

77977 ‖ 78977

3>7

 

V@FFBÖM E@ Q@H@Q@MFBC

Ebcorckc e` trcacicelr`s9

307

337

78977 ‖ 78977  ‖ 31977

31977 ‖ 31977  ‖ 3>977

^3

3>7

3>977 ‖ 3>977  ‖ 77977

77977 ‖ 77977  ‖ 78977

^3 ^1

^1 ^6

^5

177

^6 ^5

 

V@FFBÖM E@ Q@H@Q@MFBC

3. E`hb E`hbmb mbfb fböm öm e` e` vcr vcrbc bcaj aj`` ↑ ^b9 Mùk`rl tltcj e` s`r`mls qu` e`a`m fukpjbr `j turml (3,1,6,5) 1. Hu Humf mfbö böm m lai` lai`tb tbvl vl ↑ Y ; Kbmbkbzcr mùk`rl tltcj e` s`r`mls Kbm Y ; ^3 + ^1 + ^6 + ^5 6. Q`strbffblm`s ↑ Vui`tl c9

^3 + ^5 ≠ 307 ^3 + ^1 ≠ 337 ^1 + ^6 ≠ 177 ^6 + ^5 ≠ 3>7

5. Q`str Q`strbff bffböm böm e` ml ml m`oc m`octbv tbvbece bece ↑ ^b ≠ 7, `mt`rl (3,5)

 

V@FFBÖM E@ Q@H@Q@MFBC

@i`kpj @i`k pjl l K` K`ttle lel l Or Orã ãhb hbffl (@i`r (@i `rfbf fbfbl bl muk mukârb ârbfl) fl)

Vb `j kle`jl kct`kãtbfl `s e` els vcrbcaj`s, `mtlmf`s s` pu`e` r`sljv`r flm `j kâtlel orãhbfl9 3) KC^9 Y ; 1^ + 5R VC (sui`tl c) 1) 6^ + R :; 15 6) 1^ + 8R 8R :; 5> 5,0) ^, R =; 7

 

V@FFBÖM E@ Q@H@Q@MFBC

E`scrrljjcmel9

1) 6^ + R ≥ 15 •

6) 1^ + 8R ≥ 5>

Wcrc ^;7

•

6(7) + R ; 15 R ; 15

Wcrc ^;7 1(7) + 8R ; 5> 8R ; 5>

(7,15)

R;> •

Wcrc R;7

•

6^ + 7 ; 15 6^ ; 15 ^;>

(7,>)

Wcrc R;7 1^ + 8(7) ; 5> 1^ ; 5>

(>,7)

^ ; 15

(15,7)

 

Orãhbfl

V@FFBÖM E@ Q@H@Q@MFBC

A F 0

6 C

E 5

1

 

V@FFBÖM E@ Q@H@Q@MFBC

Ncjjcr Ncjj cr @J XCJLQ E@ Y `m 7,7)

3) KC^9 Y ; 1^ + 5R

C

….(3)

A

Ncjjcr @J XCJLQ E@ ^ `m (7,>)

(7,7) -= Y ; 1(7) + 5(7) 5(7) ; 7 -= Y ; 7

3) KC^9 Y ; 1^ + 5R

Ncjjcr @J WPMUL F c trcvâs e` jcs `fucfblm`s 1 y 6 9

….(3)

(7,>) -= Y ; 1(7) + 5(>) 5(>) ; 61 -= Y ; 61

Ncjjcr @J XCJLQ E@ ^ `m (>,7)

E

3) KC^9 Y ; 1^ + 5R ….(3) (7,>) -= Y ; 1(>) + 5(7) ; 38 -= Y ; 38 F

Jls pumtls qu` kcxbkbzcm jc `fucfböm Y slm (8, 8) flm um vcjlr e` e` Y; 68

 

V@FFBÖM E@ Q@H@Q@MFBC

@I@KWJL9 KLE@JL E@ UQCMVWLQU@ @m umc flkpcó flkpcóëc ëc qu` prleuf` y flk`rfb flk`rfbcjbzc cjbzcrr cjbk` cjbk`mtl mtl pcrc ocmcel s` e`s`c e`t`rkb e`t`rkbmcr mcr fuãmtcs tlm`jcecs e` kct`rbc prbkc s` e`a`m `mvbcr k`msucjk`mt` e`se` fcec uml e` sus els cjkcf`m`s ncstc fcec umc e` sus tr`s pjcmtcs e` prleuffböm, e` kcm`rc qu` s` sctbshcoc `j r`qu`rbkb`mtl e` jc pjcmtc, ml s` `xf`ec jc ebsplmbabjbece e`j cjkcfâm, y `j flstl e` trcmsplrt` s`c `j këmbkl. @m `j tcaj`rl s` ku`strcm ectls r`jcfblmcels flm `j flstl e` trcmsplrt` plr tlm`jcec (`m slj`s), jc ebsplmbabjbece e` kct`rbc prbkc `m fcec cjkcfâm y `j r`qu`rbkb`mtl këmbkl e` fcec pjcmtc9 Cjbk / Wjcmtc

3

1

6

Ebsplmbabjbece

3

577

077

?77

87 UK

1 Q`qu`rbkb`mtl

277 67 UK

177 10 UK

>77 57 UK

07 UK

Mltc9 Ce`kãs, pcrc jlorcr um `qubjbarbl `m jc utbjbzcfböm e` jls cjkcf`m`s, plr fcec fbmfl tlm`jcecs `mvbcecs e`se` `j cjkcfâm 3, plr jl k`mls s` e`a`m `mvbcr fuctrl tlm`jcecs e`se` `j cjkcfâm 1.

 

V@FFBÖM E@ Q@H@Q@MFBC

3¹ E`hbmbfböm e` vcrbcaj`9 vcrbcaj`9 ^bi ; fcmtbece e` tlm`jcecs qu` vc e`j cjkcfâm (3,1) c jc pjcmtc (3,1,6) 1¹ Humf Humfbl blm m Lai` Lai`tb tbvl vl99 Kbmbkbzcr flstl e` trcmsplrt` KbmY9 577x33 + 077x31 + ?77x36 + 277x13 + 177x11 + >77x16

67 Uk

6¹ Q`strbffböm @strufturcj`s 9 87 Uk V.C 1) ^33 + ^31 + x36 :; 87 6) ^13 + ^11 + ^16 :; 07

Cjkcfâm 3

W W3 10 Uk

W1

Q@VUQBFFBLM@V E@ CJKCF@M

07 Uk 33 13 ;= 67 5) 0) ^ ^31 ++^^11 ;= 10 8) ^36 + ^16 ;= 57

Cjkcfâm 1

57 Uk

Q@VUQBFFBLM@V E@ WJCMUC Cjk3 ≥ Cjk 1

?) 5^33 + 5^31 + 5^36 - 0^13+ 0^11 + 0^16 ≥ 7 5¹ Q`strbffböm Ml M`octbvbece9 M`octbvbece9 ^bi ;= 7

0

5

5^33 + 5^31 + 5^36 ≥ 0^13+ 0^11 + 0^16

W6

 

V@FFBÖM E@ Q@H@Q@MFBC

@I@KWJL9 KLE@JL E@ BMX@MUCQBLV Pmc fu Pmc furt rtb` b`ka kar` r` e` e`s` s`cc e` e`t` t`rk rkbm bmcr cr fu fuãm ãmtl tlss k` k`tr trls ls pr prle leuf ufbr br pc pcrc rc sc sctb tbsh shcf cf`r `r jc e` e`kc kcme mecc pr``vb pr vbcc c jc âplfc e` fc fck kpcó cócc `sf sfl ljcr cr,, fl flms msbe be``rcm cme el qu qu`` s` e`s `s``cm jls këmbkls flstls tltcj`s e` prleuffböm `  bmv`mtcrbl. V` e`a` t`m`r `m fu`mtc qu`  `j fu`rl ml v`mebel eurcmt` um k`s s` oucrec pcrc v`me`rjl `j k`s sboub`mt`. @j flstl e`      ̃ um bm cjkcf`mckb`mtl `s 10 slj`s/k`trl. @j 67 e` s`p`kar` s` t`merã bmv` v`m mtc tcrb rbl l e` >7 k`trls e` fu`rl y c hbm`s e` ebfb`kar`  s` e`s`c t`m`r kãxbkl 07 k`trls. @j flstl umbtcrbl e` prleuffböm, jc fcpcfbece e` prleuffböm y jc e`kcmec plr k`s, s` ku`str ku` strcm cm c flm flmtbm tbmuc ucfbö fböm9 m9 K`s`s

Flstl Wrleuffböm

Fcpcfbece Wrleuffböm

E`kcmec

Lftuar`

50 s/k 50 s/k 57 s/k

3577 k 3777 k 3777 k

>07 k 3177 k >77 k

Mlvb`kar` Ebfb`kar`

 

V@FFBÖM E@ Q@H@Q@MFBC

Fcmtbece E`kcmec ‖  ‖ Bmv`mtc Bmv`mtcrbl rbl Bmbfbcj + Bmv`mtcrbl Hbmcj Wrleufbr c ; E`kcmec

Flmf`ptl

Lftuar`

Mlvb`kar`

Ebfb`kar`

^3

^1

^6

>07 k

3,177 k

>77 k

Bmv`mtcrbl Bmbfbcj

>7

R3

R1

Bmv`mtcrbl Hbmcj

R3

R1

R6

Fcmtbece c prleufbr E`kcmec

 

V@FFBÖM E@ Q@H@Q@MFBC

3) `hbmbfböm e` Xcrbcaj`9 ^b ; Fcmtbece e` k`trls c prleufbr (b) (39 Lftuar`, 19 Mlvb`kar` y 69 Ebfb`kar` Rb ; Fcmtbece e`j e`j bmv`mtcrbl bmv`mtcrbl hbmcj e` fcec fcec k`s (b) (39 Lftuar`, 19 Mlvb`kar` y 69 Ebfb`kar`

1) Humfböm Lai`tbvl9 Kbmbkbzcr flstl e` prleuffböm ` bmv`mtcrbl Kbm. Y ; 50^3 + 50^1 + 57^6 + 10R3 + 10R1 + 10R6

 

.C. 6) Q`strbffblm`s9

V@FFBÖM E@ Q@H@Q@MFBC

1) R6 ≥ 07

Q`strbffböm e` pjcmtc

Q`strbffböm e` prleuffböm

• 1)^3 R6 ≥ ≥ 07 ( hbm`s e` Ebfb`kar` kãx 6) 3,577 07 K`trls)

• 8) ^3 ; >07 ->7 + R3 • ^3 ^3 ‖  ‖ R3 ; ??7

• 6) ^3 ≥ 3,5 ,577 77 5) ^1 ≥ 33,777

• ?) ^1 ; 3,177 ‖ 3,177 ‖ R3 + R1

• 5) ^1 ≥ 3,7 3,777 77

0) ^6 ≥ 3,777 • 0) ^6 ≥ 3,7 3,777 77

• ^1 + R3 ‖ R3 ‖ R1 ; 3,177 • >) ^6 ; >77 ‖ >77 ‖ R1 + R6 • ^6 + R1 ‖ R1 ‖ R6 ; >77

 

V@FFBÖM E@ Q@H@Q@MFBC

5) Q`strbffblm`s e` Ml M`oc M`octbvbece9 tbvbece9

^b ≠ 7

 

V@FFBÖM E@ Q@H@Q@MFBC

@I@KWJL9 KLE@JL E@ BMX@MUCQBLV

Kcrfl Fcnucs nc n`r`ecel $ 107,7774 plr `jjl, nc flmtrctcel jls s`rvbfbls e` um flmsujtlr aursãtbj pcrc e`fbebr fökl bmv`rtbr `j fcpbtcj kcxbkbzcmel su r`mebkb`mtl. @j flmsujtlr j` nc pr`s`mtcel jcs sboub` sbo ub`mt mt`s `s lpf lpfblm blm`s9 `s9 Cjt`rmctbvcs e` Bmv`rsböm

Almls Flrplrctb vls Fci c Qurcj Hlmel e` C ffb lm` s PVC

Hlmel Kutul Flrtl Wj czl

Ucsc Uc sc e` r`mebkb`mtl r`mebkb` mtl  prly`ftcel 37.?7% 5% 31%

5.?7%

Hlmel Kutul r` mtc h b i c

0.27%

 

V@FFBÖM E@ Q@H@Q@MFBC

•

Jc fcic rurcj ml tb`m` um cjtl r`mebkb`mtl, sbm `kacrol, su rb`sol `s këmbkl, plr `jjl, jc bmv`rsböm `m `stc cjt`rmctbvc ml e`a` s`r bmh`rblr cj 30% e` jc bmv`rsböm tltcj.

•

Jc bmv`rsböm `m hlmels kutuls e`a` s`r flkl kãxbkl `j 07% e` jc bmv`rsböm `m almls flrplrctbvls y ml pu`e` s`r bmhh`r bm `rbl blrr cj 17 17% % e` e`jj fcp cpbt btcj cj eb ebsp splm lmba baj` j`

 

V@FFBÖM E@ Q@H@Q@MFBC

3) E`hbmbfböm e` Xcrbcaj`9

^b ; Fcmtbece `m eöjcr`s ($) qu` s` bmv`rtbrã `m um bmstruk`mtl hbmcmfb`rl (b9 3,1,6,5 y 0)

1) Humfböm Lai`tbvl9 Kcxbkbzcr r`mebkb`mtl e` jc bmv`rsböm Kcx. Y ; 7.37?^3 + 7.75^1 + 7.31^6 + 7.75?^5 + 7.702^0

 

6) Q`strbffblm`s9

V@FFBÖM E@ Q@H@Q@MFBC

1) Bmv.Qurcj

6) Bmv.Hlmels Kutuls ‖ Kutuls  ‖ 07%

5) Bmv. Hlmels Kutuls Kutu ls - 17%

0) Bmv`rsböm Ultcj

•• ^1 ≠30^3 7.30 7^3 .30(^3 +0^1 ^11 +- 7. ^ ^6 630^6 +^6 ^5- +7. ^0) - 7. 7.30 +(^3 7 7.> .>0^ 7.30 7.30 30^5 ^5 - 7.30^0 ≠ 7 • ^5 + ^0 ≥ 7.0( 7.0(^3 ^3)) • ^5 + ^0 ‖ 7. 7.0^ 0^3 3≥ 7 • ^5 + ^0 ≠ 7.17 7.17($1 ($107, 07,777 777)) • ^5 + ^0 ≠ $0 $07, 7,77 777 7 • ^3 + ^ ^1 1 + ^6 + ^ ^5 5 + ^0 ≥ $10 $107,7 7,777 77

 

V@FFBÖM E@ Q@H@Q@MFBC

5) Q`strbffblm`s e` Ml M`octbvbece9

^b ≠ 7

 

V@FFBÖM E@ Q@H@Q@MFBC

@I@KWJL9 KLE@JL E@ WQLEPFFBLM @m um tcjj`r e` flmh`ffblm flmh`ffblm`s `s `sp`fbcjbzcel `m rlpc e` cjtc klmtcóc, s` `kp`zcrc c prleufbr els mu`vls kle`jls e` fcscfcs pcrc fjbkcs `xtr`kceck`m `xtr`kceck`mt` t` hrëls9 M`pcj y Autãm, qu` s` lhr`f`rãm pcrc ceujtls y pcrc mbóls. @j flstl umbtcrbl e` jcs fcscfcs pcrc ceujtl `s e` 27 slj`s pcrc `j kle`jl M`pcj y >7 slj`s pcrc `j kle`jl Autãm, `jcflstl umbtcrbl flrr`splmeb`mt` cj tckcól mból `s`jjckle`jl kbtce `m fcecpcrc fcsl.ceujtl, Jls pr`fbls e` v`mtc trcvâs e`j fctcjlol e` jc `kpr`sc slm 117pcrc slj`s pcrc Autãm 317 slj`s pcrc mból4 y `m `j fcsl e`j kle`jl M`pcj, jls pr`fbls slm e` 327 slj`s y 377 slj`s r`sp`ftbvck`mt`. @j tcjj`r e`s`c lptbkbzcr sus utbjbece`s s`kcmcj`s.

@j jc tcajc s` ku`strc `j tb`kpl s`kcmcj ebsplmbaj` (`m nlrcs) `m jc ãr`cs e` flrt`, flsturc y cfcacel. Csë flkl jc e`kcmec s`kcmcj tltcj këmbkc y `j tb`kpl r`qu`rbel (`m kbmutls) `m fcec ãr`c. tltcj flrr`splmec cj kle`jl Autãm. R, `m `j V` nc e`fbebel qu` plr jl k`mls `j 17% e` jc prleuffböm tltcj fcsl e` jcs fcscfcs pcrc mból, s` prleufbrã këmbkl k`ebc elf`mc e`j kle`jl M`pcj, plr fcec eb`z e`j kle`jl Autãm.

Hlrkuj` um kle`jl kct`kãtbfl e` prlorckcfböm jbm`cj pcrc `j fcsl e`sfrbtl.

 

V@FFBÖM E@ Q@H@Q@MFBC

M@WCJ CEPJUL

^1 APUÃM CEPJUL

WQ@FBL E@ X@MUC

327

117

377

317

FLVUL PMBUCQBL

27

>7

50

57

PUBJBECE

377

357

00

>7

^3

^6 M@WCJ MBÓL

^5 APUÃM MBÓL

 

V@FFBÖM E@ Q@H@Q@MFBC

E@HBMBFBÖM E@ JC XCQBCAJ@ ^b; Kle`jls e` fcscfcs pcrc fjbkcs `xtr`kceck`mt` `xtr`kceck`mt` hrëls9 M`pcj y Autãm, qu` qu` s` lhr`f`rãm pcrc ceujtls y pcrc mbóls e` (^3 c ^5)

E@HBMBQ HPMFBÖM LAI@UBXC Kbmbkbzcr jcs utbjbece`s s`kcmcj`s. KbmY; 377^3 + 357^1 + 00^6 + >7^5

 

V@FFBÖM E@ Q@H@Q@MFBC

Q@VUQBFFBLM@V

^3(67k) + ^1(17k) + ^6(17k) + ^5(30k) :/ 377 (87)

FLQU@

1

FLVUPQC

6

CFCACEL

5

^3(67k) + ^1(17k) + ^6(17k) + ^5(30k) :/ 8777

^3(67k) + ^1(67k) + ^6(30k) + ^5(30k) :/ 385(87) ^3(67k) + ^1(67k) + ^6(30k) + ^5(30k) :/ 2>57

^3(37k) + ^1(31k) + ^6(37k) + ^5(>k) :/

>5(87)

^3(37k) + ^1(31k) + ^6(37k) + ^5(>k) :/

0757

 

V@FFBÖM E@ Q@H@Q@MFBC

^3 + ^1 :/

307

0 ^6 + ^5 :/

377

8 V` nc e`fbebel qu` plr jl k`mls `j 17% e` jc prleuffböm tltcj flrr`splmec cj kle`jl Autãm.

V` prleufbrã këmbkl k`ebc elf`mc e`j kle`jl M`pcj, plr fcec eb`z e`j kle`jl Autãm.

7,1 ( ^3 + ^1 + ^6 + ^5 ) =; ^1 + ^5 7,1 ^3 + 7,1 ^1 + 7,1 ^6 + 7,1 ^5 =; ^1 + ^5

?

7,1 ^3 ‖ 7,> ^1 + 7,1 ^6 ‖ 7,> ^5 =; 7

^6/8 ^6 /8 =/ ^5 ^5/37 /37 8^5 ‖ ^5 ‖ 37^6 37^6 =/ 7

>

 

V@FFBÖM E@ Q@H@Q@MFBC

Q@VUQBFFBLM E@ M.M

2

^b =; 7 4 `mt`rl.

 

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