Inventory Control Subject To Uncertain Demand
July 29, 2022 | Author: Anonymous | Category: N/A
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Njursf 7 Xrjbuntkj` & Jpfretkj` E`eaysks Fcfntkvf Xfrkjb 7 ^fptfmofr ?856
K`vf`tjry Nj`trja ^uogfnt tj V`nfrtek` Bfme`b ^fsskj` 2
Rdf @eturf jc V`nfrtek`ty ^uppjsf tdet wf rfprfsf`t bfme`b es
B=B
+ B bftfrmk`ksn
re`bjm
Kc tdf re`bjm njmpj`f`t ks smeaa njmperfb tj tdf bftfrmk`ksn njmpj`f`t Vsf tdf mjbfa k` prfvkjus ndeptfr Jtdfrwksf re`bjm`fss must of fxpaknktay ennju`tfb cjr k` tdf mjbfa Essumpj`7 Bfme`b = re`bjm verkeoaf wktd numuaevf prjoeokakty bkstrkouj` C (t) e`b prjoeokakty bf`skty cu`nj` c (t)
Rdf @fwsojy Mjbfa Et tdf stert jc fend bey, bey, e `fwsojy must bfnkbf j` tdf `umofr jc pepfrs tj purndesf. Bekay seafs ne``jt of prfbkntfb fxentay, fxentay, e`b erf rfprfsf`tfb rfprfsf `tfb oy tdf re`bjm verkeoaf, B. Njsts7 n = jvfreif njst (njst njst (njst pfr u`kt jc pjskvf k`vf`tjry k`vf` tjry rfmek`k`i et tdf f`b jc tdf j
= u`bfreif u`b freif njst njst (njst pfr u`kt jc u`sesfb bfme`b) n u
Jpmea `umofr jc pepfrs tj purndesf ks
C(U*) = nu / (nu + nj )
pfrkjb
Fxempaf J` nj`sfnuvf ^u`beys, Men, tdf jw`fr jc e ajnea `fwsste`b, purndesfs e `umofr jc njpkfs jc Rdf Njmputfr Gjur`ea , e pjpuaer wffl meiezk`f. Df peys ?6 nf`ts cjr fend njpy e`b sfaas fend cjr 96 nf`ts. Njpkfs df des `jt sjab burk`i tdf wffl ne` of rftur`fb tj dks suppakfr cjr 58 nf`ts fend. Rdf suppakfr ks eoaf tj seaveif tdf pepfr cjr prk``i cuturf kssufs. E stuby jc tdf dkstjrknea bete sdjwfb tdet tdf bfme`b burk`i e`y wfflmfe` ks e re`bjm verkeoaf tdet bfvkej` ks epprjxkmetfay epprjxkmet fayMen `jrmeaay wktd 55.9> e`b ste`berb 2.92. wksdfsbkstrkoutfb, tj bftfrmk`f tdf `umofr jc njpkfs df sdjuab purndesf fend ^u`bey ^u` bey..
Fxempaf (Nj (Nj`t‛ `t‛b) b) Nj = ?6 „ 58 = 56 nf`ts Nu = 96 „ ?6 = 68 nf`ts Nrknea rej rej = Nu/(Nj + Nu) = 8.68/8.36 = 8.99 @(55.9>, 2.92) wktd erfe 8.99, `b z veauf U* = ώz + ¶ = (2.92)(8.92) + 55.9> = 56.?2 ≄ 56 njpkfs fvfry wffl
Muapaf Xae``k`i Xfrkjbs ^uppjsf tdet Men ks nj`skbfrk`i djw tj rfpaf`ksd tdf k`vf`tjry jc e vfry pjpuaer pepfroenl tdfseurus tdet ks jrbfrfb mj`tday. mj`tday. Njpkfs jc tdf tdfseurus u`sjab et tdf f`b jc e mj`td saa lfpt j` tdf sdfavfs cjr cuturf seafs. Essumf tdet nustjmfrs wdjerf rfqufst njpkfs jc tdf tdfseurus wdf` tdfy erf jut jc stjnl wkaa wekt u`a tdf cjaajwk`i mj`td. Men ouys tdf tdfseurus cjr $5.56 e`b sfaas kt cjr $?.96. Men fsmetfs e ajss-jc-ijjbwkaa ajss-jc-ijjbwkaa njst jc 68 nf`ts fend mf e bfme`b cjr e tdfseurus must of oenl-jrbfrfb. oenl-jrbfrfb. Mj`tday bfme`b cjr tdf ojjl ks cekray najsfay epprjxkmetfb epprjxkmetfb oy e `jrmea bkstrkouj` wktd mfe` 54 e`b ste`berb bfvkej` 3. Men usfs e ?8% e``uea k`tfrfst retf retf tj bftfrmk`f dks djabk`i njst. Djw me`y njpkfs jc tdf tdfseurus sdjuab df purndesf et tdf ofik``k`i jc fend mj`td:
Fxempaf (Nj`t‛ (N j`t‛b) b) Rdf jvfreif njst k` tdks nesf ks gust tdf njst jc djabk`i = (5.56)(8.?)/5? = 8.85;? Rdf u`bfreif njst ks gust tdf ajss jc ijjbwkaa njst = 8.68 Nrknea rej = 8.6/(8.6 + 8.85;?) = 8.;3>8 Rdf jpmea veauf jc tdf jrbfr up tj pjk`t, U* = ώz + ¶ = (3)(5.9;) + 54 = ?4.92 ≄ ?; •
Essumf tdet e ajnea ojjlstjrf easj stjnls tdf tdfseurus e`b tdet nustjmfrs wkaa purndesf tdf tdfseurus tdfrf kc Men ks jut jc stjnl. Ydet ks tdf jpmea veauf jc U: Rdf jvfreif njst sdjuab saa of k`tfrprftfb es tdf djabk`i njst = (5.56)(8.?)/5? = 8.85;? Rdf u`bfreif njst sdjuab of k`tfrprftfb es tdf ajss jc ijjbwkaa njst paus tdf ajst prjt = 8.6 + 5.3 = ?.5 Nrknea rej = ?.5/(8.85;? + ?.5) = 8.;;8; U* = ώz + ¶ = (3)(?.>3) + 54 = >?.53 ≄ >?
Ajt-^kzf _fjrbfr Xjk`t ^ystfm (U, _) Mjbfa Essumpj`s Rdf systfm ks nj``ujus rfvkfw (Rdet ks, bfme`bs erf rfnjrbfb es tdfy jnnur, e`b tdf afvfa jc JD k`vf`tjry ks l`jw` et eaa mfs) Bfme`b ks re`bjm e`b stej`ery (Rdet mfe`s tdet eatdjuid wf ne`‛t prfbknt tdf veauf jc bfme`b, tdf fxpfntfb veauf jc bfme`b jvfr e`y mf k`tfrvea jc xfb af`itd ks nj`ste`t. Essumf tdet tdf fxpfntfb bfme`b retf ks μ u`kts pfr yfer) Rdfrf ks e xfb pjskvf afeb mf ς cjr paenk`i e` jrbfr Rdf cjaajwk`i njsts erf essumfb7 ^ftup njst et $L pfr pfr jrbfr Djabk`i njst et $d pfr u`kt dfab pfr yfer Xrjpjrj`ea jrbfr njst jc $ n pfr ktfm ^tjnl jut njst jc $ p pfr u`kt jc u`sesfb bfme`b (Rdks ks easj neaafb tdf sdjrteif njst jr tdf pf`eaty njst)
(U (U,, _) Mjbfa
Bfme`b Bfsnrkpj` Rdf rfspj`sf mf jc tdf systfm ks tdf rfjrbfr afeb mf ς7 tdf mf tdet faepsfs crjm tdf pjk`t e` jrbfr ks paenfb u`a kt errkvfs Essumf tdet tdf bfme`b burk`i tdf afeb mf ks e nj``ujus re`bjm verkeoaf B wktd prjoeokakty bf`skty cu`nj` c(x) e`b numuaevf bkstrkouj` cu`nj` C(x) ver( B ver( B) Aft α = F(B) e`b ώ = of tdf mfe` e`b tdf ste`berb bfvkej` jc bfme`b burk`i tdf afeb mf
Bfnkskj` Serkeoafs Rdfrf erf ? bfnkskj` verkeoafs cjr tdks prjoafm, U e`b _, wdfrf U ks tdf ajt skzf jr jrbfr que`ty e`b _ ks tdf rfjrbfr afvfa k` u`kts jc k`vf`tjry Rdks prjoafm trfets U e`b _ es k`bfpf`bf`t bfnkskj` verkeoafs
Rdf pjakny ks kmpafmf`tfb es cjaajw7 wdf` tdf afvfa jc JD k`vf`tjry k`vf`tjry rfendfs _, e` jrbfr cjr U u`kts ks paenfb tdet wkaa errkvf k` ς u`kts u`kts jc mf
(U, _) Mjbfa7 Njst Cu`nj` Bf`f I(U,_) es tdf fxpfntfb evfreif evfreif e``uea njst jc djabk`i, sftup e`b sdjrteifs
I (U, _) d(U / ? _ ) L / U p `( _) / U Rdf jogfnvf ks tj ndjjsf U e`b _ tj mk`kmkzf I(U,_) Rdf jpmea sjauj` ks tj ktfrevfay sjavf tdf ? fquej`s7
U
? L p` ( _ ) (5) d
5 „ C(_) = Ud/pμ
(?)
•
•
Rdf sjauj` prjnfburf rfqukrfs ktfre`i oftwff` fquej`s cjr (5) e`b e` b (?) u`a ? sunnfsskvf veaufs jc U e`b _ erf (fssf`eaay) tdf semf Rdf prjnfburf ks stertfb oy usk`i U = FJU 8
•
•
•
•
J`f tdf` `bs _8 crjm fquej` (?) Rdet veauf jc _ ks usfb tj njmputf `(_), wdknd ks suostutfb k`tj fquej` (5) tj `b U 5, wdknd ks tdf` suostutfb k`tj fquej` (?) tj `b _ 5, e`b sj j` Nj`vfrif`nf if`freaay jnnurs wktdk` ? jr > ktfrej ktfrej`s `s Ydf` u`kts erf k`tfirea, tdf njmputej`s sdjuab of nj``ufb u`a sunnfsskvf veaufs jc ojtd U e`b _ erf wktdk` e sk`iaf u`kt jc tdfkr prfvkjus veaufs
•
Ydf` tdf bfme`b ks `jrmeaay bkstrkoutfb, `(_) ks njmputfb oy usk`i tdf ste`berbkzfb ste`berbkzfb ajss cu`nj`. Rdf ste`berbkzfb ste`berbkzfb ajss cu`nj` A(z) ks bf`fb es
A( z ) t z ( t )bt z •
Ydfrf т(t) ks tdf ste`berb `jrmea bf`skty. bf`skty. Kc afeb mf bfme`b ks `jrmea wktd mfe` α e`b ste`berb bfvkej` bfvkej` ώ , tdf` kt ne` of sdjw` tdet
•
_ `( _) A A( z ) Rdf ste`berbkzfb verketf z ks fquea tj (_-α)/ώ
Fxempaf Dervfy‛s ^pfnkeaty ^djp ks pjpuaer spjt tdet spfnkeakzfs k` k`tfr`ej`ea Dervfy‛s ijurmft cjjbs. J`f jc tdf ktfms tdet Dervfy sfaas ks e pjpuaer musterb tdet df purndesfb crjm e` F`iaksd njmpe`y. Rdf musterb njsts Dervfy $58 e ger e`b rfqukrfs e skx-mj`td afeb mf cjr rfpaf`ksdmf`t jc stjnl. Dervfy usfs e ?8% e``uea k`tfrfst retf retf tj njmputf djabk`i njsts e`b fsmetfs fsmet fs tdet kc e nustjmfr rfqufsts tdf musterb wdf` df ks jut jc stjnl, tdf ajss-jc-ijjb-wkaa njst ks $?6 e ger. Ojjllffpk`i fxpf`sfs cjr paenk`i e` jrbfr emju`t tj eojut $68. Burk`i tdf skx-mj`td skx-mj`td rfpaf`ksdmf`t afeb mf, Dervfy fsmetfs tdet df sfaas e` evfreif jc 588 gers, out tdfrf ks suoste`ea verke verkej` j` crjm j`f skx-mj`td pfrkjb tj tdf `fxt. Df fsmetfs tdet tdf ste`berb bfvkej` jc bfme`b burk`i fend skx-mj`td pfrkjb ks ?6. Essumf tdet bfme`b ks bfsnrkofb oy e `jrmea bkstrkouj`. Djw sdjuab Dervfy Der vfy nj`trja tdf rfpaf`ksdmf`t jc tdf musterb:
Fxempaf (Nj`t‛ b) (Nj`t‛b) μ = ?88 U 8 = FJU = 588 Ck`b _8 crjm fquej` (?). ^uostu`i U = 588, wf jotek` 5- C(_ 8) = U 8d/pμ = 8.82 ikvfs z = 5.96 e`b A(z) = 8.853? _8 = ώz + ¶ = (?6)(5.96) + 588 = 522 `(_) = ώA(z) = (?6)(8.853?) = 8.286 Yf ne` `b U crjm fquej` (5) 5
U5
(?)(?88) 68 ( ?6)(8.286
?
558
Rdks veauf jc U ks njmperfb wktd tdf prfvkjus j`f, wdknd ks 588 Rdfy erf `jt najsf f`juid tj stjp
Fxempaf ((Nj`t Nj`t‛‛b) ^uostu`i U = 558 k`tj fquej` (?) rfsuats k` 5-C(_ 5) = (558)(?)/(?6)(?88) = 8.822 ikvfs z = 5.9 e`b A(z) = 8.854> Curtdfrmjrf _5 = (?6)(5.9)+588 = 52> Yf `jw jotek` `(_5) = (?6)(8.854>) = 8.2696 e`b U ? = 555 ^uostu`i U ? = 555 k`tj fquej` (?) ikvfs 5-C(_?) = 8.8222 ikvfs z = 5.9, e`b _? = _5 = 52> Ofneusf ojtd U ? e`b _? erf wktdk` j`f u`kt jc U 5 e`b _5, wf mey tfrmk`etf njmputej`s Yf nj`naubf nj`naubf tdet tdf jpmea veaufs jc U e`b _ erf (U,_) (U ,_) = (555,52>) Df`nf, fend mf tdet Dervfy‛s k`vf`tjry jc tdks typf jc musterb dkts 52> gers, df sdjuab paenf e` jrbfr cjr 555 gers
Cjr tdf semf fxempaf, fxe mpaf, bftfrmk`f tdf jaajwk`i7 5. ^e ^efty fty stjn stjnl l ks s = _ „ α = 2> gers gers ?. Rdf djabk` djabk`i i njst njst ks d\U/ d\U/?+_ ?+_-α] -α] = ?\555/ ?\555/?+5 ?+52>2>-588] 588] = $5;9 $5;9 pfr pfr yfer yfer Rdf sftup njst ks Lμ/U = (68)(?88)/555 = $;8.8; pfr yfer •
>. 2. 6.
Rdf stjnl-jut njst ks pμ`(_)/U = (?6)(?88)(8.2696)/555 = $?8.35 pfr yfer Rdf tjtea evfreif e``uea njst ks $>89.9 pfr yfer Rdf evfreif evfreif tkmf tkmf oftw oftwff` ff` paenfm paenfmf`t f`t j jrbfrs jrbfrs R = U/μ = 8.663 8.663 yfer = 3.9 mj`tds Rdf Rdf prjp prjpjr jrtkj tkj` ` j jrb jrbfr fr nyn nynaf afss k` wdk wdknd nd `j `j stj stjnl nl-j -juts uts jnn jnnur ur X{B≢_} = C(_) = 5-8.822 = 8.;63, wf nj`naubf tdet tdfrf wkaa of `j stjnl-juts k` ;6.3% j tdf jrbfr nynafs Rdf Rdf prj prjpj pjrt rtkj kj` `j j bfm bfme` e`bs bs tdet tdet erf erf `jt `jt mft mft Rdf prjpjrtkj` j bfme`bs tdet stjnl jut ks `(_)/U = 8.2696/555 = 8.882 E`jtdfr wey j stetk`i tdks rfsuat ks tdet j` evfreif ;;.3% j tdf
bfme`bs erf setksfb es tdfy jnnur
(U, _) Mjbfa7 ^frvknf Afvfa Xf`eaty njst, p, ks bknuat tj fsmetf. Rdus, kt ks njmmj` ousk`fss prennf tj sft k`vf`tjry afvfas afvfas tj mfft e spfnkfb sfrvknf jogfnvf k`stfeb. Rwj typfs jc sfrvknf7 Rypf 5 sfrvknf7 tdf prjoeokakty jc `jt stjnlk`i jut k` tdf afeb mf Rypf ? sfrvknf. tdf prjpjrj` jc bfme`bs tdet erf mft crjm stjnl
(U (U,, _) Mjbfa7 ^frvknf Afvfa Njmputej`s Njmputej`s Rypf 5 sfrvknf7 • • •
Rdf bfskrfb sfrvknf afvfa ks ε tdf`, `b _ crjm C(_)= ε e`b U=FJU Feskfr neanuaej` _fcfrrfb _fc frrfb es afeb mf sfrvknf
Rypf ? sfrvknf7 Njmpafx ktfrevf sjauj` prjnfburf •
•
•
Djwfvfr, sf`i U=FJU e`b `bk`i _ tj sescy `(_) = (5-ο)U wkaa Djwfvfr, if`freaay ikvf ijjb rfsuats Mjrf bknuat tj njmputf out if`freaay ks tdf ennfptfb bf`kj` jc jc sfrvknf _fcfrrfb es aa retf
(U,, _) Mjbfa7 ^frvknf Afvfa Njmperksj` (U Jrbfr Nynaf 5 548 8 ? > 2 6 3 9 4 ; 58
?9>66 528 548 ?88 568 ;8 538 28
8
Bfme`b
^tjnl ^tjnl-Juts -Juts
26
8 8 58 8 8 8 8
Cjr typf 5 sfrvknf7 sfr vknf7 Rdf crenj` jc pfrkjbs k` wdknd tdfrf ks `j stjnl-jut ks 4/58 = 48%. Rdf prjoeokakty tdet eaa bfme`bs erf mft k` e sk`iaf jrbfr nynaf ks 8.4. Cjr sfr vknf7jcRdf sfrvknf7 tjtea `umofr jc bfme`bs jvfr tdf 58Rdf pfrkjbs ks 5,268 e`b tdf typf tjtea ?`umofr bfme`bs tdet rfsuat k` e stjnl-jut ks 66. `umofr jc sesfb bfme`bs ks 5,268 „ 66 = 5,>;6. Rdf prjpjrj` jc sesfb bfme`bs ks 5,>;6/5,268 =
8.;3?5 jr rjuiday ;3%.
(s, ^) Xjakny Xfrkjbkn _fvkfw ^ystfm Bf`f ? `umofrs, s e`b ^ tj of usfb es cjaajws7 Ydf` tdftdf afvfa jc j`-de`b k`vf`tjry ks afss tde`e`b jr fquea tj s, e` jrbfr cjr bkfrf`nf oftwff` tdf k`vf`tjry ^ ks paenfb. Kc u ks tdf ster`i k`vf`tjry k` e`y pfrkjb, tdf` tdf (s, ^) pjakny ks7 kc u ≢ s, jrbfr ^ „ u kc u 0 s, bj `jt jrbfr Bknuat tj `b tdf jpmea Vsf epprjxkmej`, sft s = _veaufs e`b ^ = _+U (rfesj`eoaf e`b njmmj`ay usfb) ^frvknf afvfas7 Rypf 57 C(U) = ε Rypf ?7 `(U) = (5-ο)¶
Fxempaf Men, tdf jw`fr jc tdf `fwsste`b, `fwsste`b, wksdfs tj usft ejctypf sfrvknf afvfa jc ;8% tj nj`trja dks rfpaf`ksdmf`t rfpaf`ksdmf` tdf 5 njmputfr gjur`ea. Rdf z veauf njrrfspj`bk`i tj tdf ;8td pfrnf`af jc tdf u`kt `jrmea ks z = 5.?4. Df`nf, U* = ώz+α = (2.92)(5.?4)+55.9> = 59.4 ≄ 54 Vsk`i e typf ? sfrvknf jc j c ;8%, wf jotek` `(U) = (5-ο)α = (8.5)(55.9>) = 5.59> Kt cjaajws tdet A(z) = `(U)/ώ = 5.59>/2.92 = 8.?296, crjm teoaf wf `b z ≄ 8.>6< tdf` U* = ώz+α = (2.92)(8.>6) + 55.9> = 5>.2 ≄ 5>
EON E`eaysks EON e`eaysks ks oesfb j` tdf perftj nurvf Xerftj E`eaysks7 Bksnjvfrfb Bksnjvfrf b tdet tdf bkstrkouj` jc wfeatd cjaajws e` k`nrfesk`i fxpj`f`ea nurvf E skmkaer nurvf bfsnrkofs tdf bkstrkouj` jc tdf veauf jc k`vf`tjry ktfms k` e mua-ktfm systfm Rdf veauf jc e perftj nurvf e`eaysks ks tdet j`f ne` kbf`cy tdf ktfms ennju``i cjr mjst jc tdf bjaaer vjaumf jc seafs _juid iukbfak`fs erf tdet Rdf tjp ?8% jc tdf ktfms ennju`t cjr eojut 48% jc tdf e``uea bjaaer vjaumf jc seafs Rdf `fxt >8% jc tdf ktfms cjr tdf `fxt 56% jc seafs Rdf rfmek`k`i 68% cjr tdf aest 6% jc bjaaer vjaumf
Xerftj Nurvf7 K`vf`tjry Bkstrkouj` Oy Seauf
•
E sempaf jc ?8 bkfrf`t bkfrf`t stjnl ktfms crjm Dervfy‛ Dervfy ‛ ^pfnkeaty ^djp ks sfafntfb et re`bjm. Rdfsf ktfms very k` prknf crjm $8.?6 tj $?2.;; e`b k` evfreif yferay yferay bfme`b crjm 5? tj 943. Rdf rfsuats jc tdf sempak`i erf prfsf`tfb k` teoaf 5. Reoaf ? tdf ktfms erf re`lfb k` bfnrfesk`i jrbfr jc tdf e``uea bjaaer vjaumf jc seafs. @jnf tdet j`ay 2 jc tdf ?8 stjnl ktfms ennju`t cjr jvfr 48% jc tdf e``uea bjaaer vjaumf if`fretfb oy tdf f`rf irjup. Easj `jnf tdet tdfrf erf dkid prknfb ktfms k` ojtd netfijrkfs E e`b N.
Xert `umofr
Reoaf 5 Xfrcjrme`nf jc ?8 ^tjnl Ktfms ^fafntfb et _e`bjm
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Bjaaer vjaumf ($)
Numuaevf bjaaer vjaumf ($)
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^jurnf 7 Xrjbuntkj` e`b Jpfretkj`s E`eaysks 2td Fbktkj`, ^tfvf` @edmkes
Ok`e @use`tere V`kvfrskty
MnIrew Dkaa K`tfr`etkj`ea Fbktkj`
^jurnf 7 Xrjbuntkj` e`b Jpfretkj`s E`eaysks 2td Fbktkj`, ^tfvf` @edmkes
>8
Ok`e @use`tere V`kvfrskty
MnIrew Dkaa K`tfr`etkj`ea Fbktkj`
^jurnf 7 Xrjbuntkj` e`b Jpfretkj`s E`eaysks 2td Fbktkj`, ^tfvf` @edmkes
>5
Ok`e @use`tere V`kvfrskty
MnIrew Dkaa K`tfr`etkj`ea Fbktkj`
^jurnf 7 Xrjbuntkj` e`b Jpfretkj`s E`eaysks 2td Fbktkj`, ^tfvf` @edmkes
>?
Ok`e @use`tere V`kvfrskty
MnIrew Dkaa K`tfr`etkj`ea Fbktkj`
^jurnf 7 Xrjbuntkj` e`b Jpfretkj`s E`eaysks 2td Fbktkj`, ^tfvf` @edmkes
>>
Ok`e @use`tere V`kvfrskty
MnIrew Dkaa K`tfr`etkj`ea Fbktkj`
^jurnf 7 Xrjbuntkj` e`b Jpfretkj`s E`eaysks 2td Fbktkj`, ^tfvf` @edmkes
>2
^jurnf 7 Xrjbuntkj` e`b Jpfretkj`s E`eaysks 2 Fbktkj`, ^tfvf` @edmkes Ok`e @use`tere V`kvfrskty
MnIrew Dkaa K`tfr`etkj`ea Fbktkj`
>6
td
^jurnf 7 Xrjbuntkj` e`b Jpfretkj`s E`eaysks 2 Fbktkj`, ^tfvf` @edmkes Ok`e @use`tere V`kvfrskty
MnIrew Dkaa K`tfr`etkj`ea Fbktkj`
>3
td
^jurnf 7 Xrjbuntkj` e`b Jpfretkj`s E`eaysks 2 Fbktkj`, ^tfvf` @edmkes Ok`e @use`tere V`kvfrskty
MnIrew Dkaa K`tfr`etkj`ea Fbktkj`
>9
td
^jurnf 7 Xrjbuntkj` e`b Jpfretkj`s E`eaysks 2 Fbktkj`, ^tfvf` @edmkes Ok`e @use`tere V`kvfrskty
MnIrew Dkaa K`tfr`etkj`ea Fbktkj`
>4
td
^jurnf 7 Xrjbuntkj` e`b Jpfretkj`s E`eaysks 2 Fbktkj`, ^tfvf` @edmkes Ok`e @use`tere V`kvfrskty
MnIrew Dkaa K`tfr`etkj`ea Fbktkj`
>;
28
Ok`e @use`tere V`kvfrskty
B5>53 Xrjbuntkj` e`b Jpfretkj`s E`eaysks
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