wigni f5 2013 wlis ianvris gamocdis pasuxi - gfpaa.gegfpaa.ge/site/files/sertificirebis...

wigni F5 2013 wlis ianvris gamocdis pasuxi

1

1 a)

A tipis proeqti

B tipis proeqti

$ $

proeqtis mogeba 1,900 1,600

pirdapiri danaxarjebi (418) (320)

kvalificiuri mkvlevarebi

(20, 12 sT @ $35/ sT) (700)

(420)

mkvlevaris asistentebi

(8, 15 sT @ $18/sT) (144)

(270)

proeqtis zRvruli mogeba 638 590

administraciuli danaxarjebi pirdapiri danaxarjebi ar aris, amitom isini

gaangariSebaSi ar monawileobs.

b) davuSvaT, A = periodis ganmavlobaSi ganxorcielebuli A tipis proeqtebis

raodenobas.

B = periodis ganmavlobaSi ganxorcielebuli B tipis proeqtebis raodenobas.

zRvruli mogebis maqsimizacia 638A + 590B.

SezRudvebi:

20A + 12B ≤ 1,344 (kvalificiuri mkvlevarebis saaTebi)

8A + 15B ≤ 1,120 (mkvlevaris asistentebis saaTebi)

A ≥ 20 (ABC jgufTan SeTanxmeba)

B ≤ 60 (maqsimum)

A, B ≥ 0

(arauaryofiTi)


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g) kompaniis mier ganxorcielebuli proeqtebi 2012 wlis 30 ivniss dasrulebuli

oTxkviriani periodisTvis.

dasaSveb mniSvnelobaTa ares ukiduresi zeda wertilebia:

SeerTeba zRvruli mogeba = 638A + 590B

P (20, 0) 12,760

Q (20, 60) 48,160

R (27.5, 60) 52,945

S (33, 57) 54,684 maqsimaluri

T (67.2, 0) 42,874

amgvarad, proeqtebis narevi, romelic kompaniis 2012 wlis 30 ivniss dasru-

lebuli oTxkviriani periodis mogebas maqsimalurad gazrdis, aris 33 A tipis

proeqtisa da 57 B tipis proeqtis ganxorcieleba.

d) optimaluri mogeba miiReba:

zRvruli mogeba (rogorc zemoT iyo naCvenebi) 54,684

minus: administraciuli danaxarjebi (529,000)

periodis mogeba 2,684

dasaSveb

mniSvne-

lobaTa

are

B tipis

proeqtebis

raodenoba


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2.

a) investiciis ukugebis koeficientis gamoyeneba mocemul pirobebSi.

maCvenebelTa dakavSireba pasuxismgeblobis doneebTan

mocemuli informaciidan naTelia, rom qvedanayofebi sainvesticio centrebs

warmoadgenen, ase, rom investiciis ukugebis koeficienti Sefasebis

saTanado maCvenebels warmoadgens.

gaangariSebasTan dakavSirebuli sakiTxebi

kompania investiciis ukugebis koeficientis gamoTvlas axdens wminda aqti-

vebis saSualebiT. SeiZleba gamoyenebuli kapitalis, rogorc aqtivebis

safuZvlis gamoyenebac.

arsebuli sistemis dros axali manqana-danadgarebis Sesyidva xorcieldeba

uSualod qvedanayofis mier gamoyofili sesxis saSualebiT. es zrdis

gamoyenebul kapitals, magram ar zrdis wminda aqtivebs. Sesabamisad,

investiciis ukugebis koeficienti ver asaxavs axal aqtivs, romlis

gamoyenebac SesaZlebelia qvedanayofSi.

gamoyenebuli aqtivebi

grZelvadiani aqtivebi Sefasebulia narCeni sabalanso RirebulebiT.

Sesabamisad, arsebobs safrTxe imisa, rom menejeri gamoiyenebs aqtivebs

imaze didxans, vidre es saWiroa. qvedanayofis wminda aqtivebi Semcirdeba

da amis mizezi iqneba is, rom menejeri ar axdens reinvestirebas sxva

aqtivebSi, radgan es uaryofiTad imoqmedebs misi qvedanayofis investiciis

ukugebis koeficientze.

Sedarebisas, ufro Zveli qvedanayofi, magaliTad, A ufro ukeTes Sedegs

aCvenebs, vidre SedarebiT axali qvedanayofi, radgan misi gamoyenebuli

kapitali ufro mcirea.

gamoyenebuli mogebis monacemi

menejerisa da qvedanayofis Sesafaseblad erTi da igive monacemi gamoiyeneba.

aucilebelia erTmaneTisgan gavmijnoT danaxarjebi, romlebic kontrolir-

deba menejeris mier (menejeris Sesafaseblad) da danaxarjebi, romlebic

Tavidan iqneboda acilebuli qvedanayofis daxurviT (qvedanayofis Sesafaseb-

lad).

amocanaSi mocemuli informaciidan rTulia danaxarjebis amgvari dayofa,

Tumca naTelia, rom saTavo ofisis gadanawilebuli danaxarjebi gaangari-

Sebidan unda gamoiricxos.

gamoyenebuli barieris ganakveTi

kompania TiToeuli qvedanayofisTvis sxvadasxva mizans ayalibebs. amis

upiratesoba isaa, rom TiToeuli qvedanayofis ganakveTebis formireba

SeiZleba moxdes imgvarad, rom igi asaxavdes riskis sxvadasxva dones da


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iZleodes imis sakmaris rwmunebas, rom qvedanayofisTvis gansazRvruli

miznebi realuria.

Tumca A qvedanayofisTvis dadgenili ganakveTi (16%) ufro naklebia, vidre

mTliani kompaniis finansuri danaxarji (18%). es warmoSobs potenciur

problemas, kerZod menejeri mainc miiRebs materialur waxalisebas, miuxe-

davad imisa, rom misi qvedanayofis mogeba ver dafaravs kompaniis

dafinansebis danaxarjs, magaliTad, Tu qvedanayofis investiciis ukugebis

koeficienti 17%-is toli iqneba.

kidev erTi problema isaa, rom sxva qvedanayofis menejerebi aRSfoTdebian

A qvedanayofis menejeris materialuri waxalisebis sqemis gamo, radgan

CaTvlian, rom mas ufro iolad misaRwevi amocana gaaCnia. aman SesaZloa

maTi demotivacia gamoiwvios.

kompaniis mier investiciis ukugebis koeficientis gamoyenebasTan dakavSirebuli

tipuri sakiTxebi

investiciis ukugebis koeficientis gamoyenebis yvelaze gavrcelebuli

problema miznebis potenciuri SeuTavseblobaa. A qvedanayofis investiciis

ukugebis koeficienti (rogorc dadgenilia) 2012 wlisTvis Seadgenda

40%-s. Sesabamisad, qvedanayofis menejeri uaryofs yvela im proeqts,

romlis investiciis ukugebis koeficienti 40%-ze naklebi iqneba 2013

wels, radganac amgvari investiciis ukugebis koeficienti gaauaresebs

qvedanayofis saqmianobis Sedegebis maCvenebels. kompaniis mizani aris

investiciis ukugebis 16%-iani koeficienti (an 18%-ixileT zemoT),

Sesabamisad bevri proeqti, romelic misaRebia mTlianad kompaniisTvis,

SesaZloa qvedanayofis menejerma ar ganaxorcielos.

investiciis ukugebis koeficienti, zogadad, kargi maCvenebelia sxvadasxva

zomis qvedanayofebis saqmianobis Sedegebis erTmaneTTan Sesadareblad, ro-

gorc es kompania `vaiomingis~ SemTxvevaSia.

kompania `vaiomingi~ SesaZloa cdilobdes aqcionerTa keTildReobis maqsi-

malur gazrdas. investiciis ukugebis koeficienti mogebaze damyarebuli

maCvenebelia da gaaCnia susti korelacia aqcionerTa kapitalTan. proeqti

unda Sefasdes fuladi nakadebis diskontirebis gziT, raTa miRweul iqnes

aqcionerTa maqsimaluri keTildReoba.

moklevadianoba

A qvedanayofis menejeris kontraqti unda ganaxldes uaxloes momavalSi,

Sesabamisad, arsebobs safrTxe, rom igi ecdeba moklevadiani investiciis

ukugebis koeficientiT manipulirebas, grZelvadiani efeqturobis xarjze.

magaliTad, Seamcirebs investiciebs.

b) investiciis ukugebis koeficientis alternativa

investiciis ukugebis koeficientis ZiriTadi alternativaa narCeni Semosavlis

gaangariSeba TiToeuli qvedanayofisTvis, sadac:


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narCeni Semosavali = wminda mogebas – qvedanayofis aqtivebis saprocento ganakveTi

es aris absoluturi maCvenebeli, romelic, rogorc wesi, gamoricxavs miznebis

SeuTavseblobas, investiciis ukugebis ganakveTisgan gansxvavebiT.

2010 2011 2012

$000 $000 $000

dadgenili wminda mogeba 180 400 640

damatebuli saTavo ofisis danaxarji 1,320

1,400

1,440

koreqtirebuli wminda mogeba 1,500 1,800 2,080

minus: gamoTvlili saprocento danaxarji

(gaangariSeba)

288

288

256

narCeni Semosavali 1,212

1,512

1,824

gaangariSeba

wminda aqtivebi* ($000) 1,800 1,800 1,600

riskiT Sesworebuli saprocento ganakveTi 16% 16% 16%

saprocento danaxarji 288 288 256

* rogorc es zemoT aris aRniSnuli, gamoyenebuli kapitalis CarTva gaan-

gariSebaSi ufro ukeTesi iqneboda, Tumca Cven amisTvis sakmarisi informacia

ara gvaqvs. analogiurad, Tqven SeiZleba daasabuToT, rom narCeni Rirebu-

lebisTvis unda momxdariyo kapitalis Rirebulebis (18%) gamoyeneba.

g) qvedanayofisa da menejeris saqmianobis Sedegebi

qvedanayofis saqmianobis Sedegebi

qvedanayofis mTliani finansuri saqmianobis Sedegebi bolo sami wlis

ganmavlobaSi gaumjobesda Semdegi mimarTulebebiT:

kontrolirebadi mogeba gaizarda 39%-iT, 1,500,000 dan 2,080,000-mde;

narCeni Semosavali dadebiTia da gaizarda 50%-iT, 1,212,000-dan 1,824,000-

mde;

dadgenili investiciis ukugebis koeficienti gaizarda oTxjer. (SeniSvna: Tu investiciis ukugebis koeficienti gadaiTvleba koreqtirebulebi

mogebis cifriT, maSin zrda iqneba 83%-dan 130%-mde;

wminda marJa gaizarda 11.4%-dan 14.4%-mde.

Tumca, saerTo jamSi, suraTi dadebiTi ar aris:


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saerTo mogebis marJa daeca 66.7%-dan 63.9%-mde. amis mizezi SesaZloa

iyos fasis Semcireba an warmoebis efeqturobis dacema;

bazris wili daeca 10.6%-dan 8.6%-mde, rac mianiSnebs bazarze

konkurentunarianobis Sesustebaze. amis SesaZlo mizezebi ganxilulia

qvemoT.

menejeris saqmianobis Sedegebi

Zalian rTulia menejerisa da qvedanayofis saqmianobis efeqturobaSi gan-

sxvavebis moZebna. magaliTad, ramdenia menejeris wvlili mogebis zrdaSi, an

SesaZlebeli iyo Tu ara, rom zrda ufro didi yofiliyo? menejerisTvis

dadgenilia investiciis ukugebis miznobrivi koeficienti da man es maCve-

nebeli mniSvnelovnad gazarda. Sesabamisad, SeiZleba imis mtkiceba, rom

menejeris Sroma saTanadod unda anazRaurdes.

Tumca, bazris wilis Semcireba, garkveulwilad, SeSfoTebis safuZvels iZ-

leva. misi axsna nawilobriv SeiZleba ori Zalian mniSvnelovani xarjiT:

samecniero-kvleviTi da sacdel-sakonstruqtoro danaxarji Zalian dabali

Cans da Semcirebulia aseve misi wili, gayidvebTan mimarTebaSi. es SeiZleba

mianiSnebdes imas, rom menejeri cdilobda, Seemcirebina investireba axal

produqtSi da amiT SeenarCunebina investiciis ukugebis maRali

koeficienti.

reklamis danaxarjebi SenarCunebulia 6%-is farglebSi, gayidvebTan mimar-

TebaSi, Tumca, SesaZloa es ganakveTi dabali iyos, Tu gaviTvaliswinebT

imas, rom bazari swrafad mzardia. isev da isev SeiZleba iTqvas, rom

menejerma gadawyvita, ar gaekeTebina investireba momavali mogebianobis

zrdaSi da amiT moaxdina investiciis ukugebis maRali koeficientis

SenarCuneba.

saboloo jamSi, sakmao safuZveli arsebobs SeSfoTebisTvis, radgan

menejeri mimarTavs moklevadian strategias da ar axorcielebs

investirebas momavali zrdisTvis.

gaangariSebebi

2010 2011 2012

% % %

investiciis ukugebis koeficienti, koreqtirebuli

mogebis gamoyenebiT

83 100 130

bazris wili 10.6 10.3 8.6

wminda marJa, koreqtirebuli mogebis gamoyenebiT 11.4 12.9 14.4

saerTo mogebis marJa _ ZiriTadi danaxarjebis

gamoyenebiT

66.7 65.7 63.9

samecniero-kvleviTi danaxarjis wili gayidvebSi 0.45 0.29 0.33

sareklamo danaxarjis wili gayidvebSi 5.8 6.0 6.0


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3.

a) nedleulisa da masalebis erTi tonis normatiuli danaxarjebi

X masala 60% erT tonaze $30-is

odenobis danaxarjebi $

Y masala 40% erT tonaze $45-is

odenobis danaxarjebi 18

100% 18

normatiuli danakargi 10% 36

normatiuli raodenoba 90%

normatiuli danaxarjebi warmoebuli produqciis erTi normatiuli tonisTvis =

$36/90% = $40.

masalis fasis gadaxra

ianvari Tebervali marti

$ $ $

Y masala:

faqtobrivi fasi $45-is odenobiT =

normatiul fass

amgvarad, masalis fasis gadaxraa 0 0 0

X masala:

yvela masalis mTliani danaxarjebi 32,400 31,560 38,600

minus: Y masalis danaxarjebi (360 ×

$45) 16,200

16,200

16,200

X masalis faqtobrivi danaxarjebi 16,200 15,360 22,400

gamoyenebuli X masalis normatiuli

fasi:

ianvari: 540 tonis danaxarjebi unda

iyos (× $30) 16,200

Tebervali: 480 tonis danaxarjebi

unda iyos (× $30)

14,400

marti: 700 tonis danaxarjebi unda

iyos (× $30)

21,000

X masalis fasis gadaxra 0 960 a 1,400 a


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nomenklaturis gadaxra

ianvari

faqtobrivi

nomenklatura

(tona)

normatiuli

nomenklatura

(tona)

nomenklaturis

gadaxra

(tona)

X masala 540 (60%) 540 0

Y masala 360 (40%) 360 0

900 900 0

Tebervali

faqto-

brivi

nomen-

klatura

(tona)

norma-

tiuli

nomenk-

latura

(tona)

nomenkla-

turis

gadaxra

(tona)

norma-

tiuli

fasi

($)

nomenkla-

turis

gadaxra

($)

X masala 480 (60%) 504 24 x 30 720 x

Y masala 360 (40%) 336 24 a 45 1,080 a

840 840 360 a

marti

faqtob-

rivi

nomen-

klatura

(tona)

norma-

tiuli

nomen-

klatura

(tona)

nomen-

klaturis

gadaxra

(tona)

norma-

tiuli

fasi

($)

nomenkla-

turis

gadaxra

($)

X masala 700 (60%) 636 64 a 30 1,920 a

Y masala 360 (40%) 424 64 x 45 2,880 x

1,060 1,060 960 x

raodenobis gadaxra

ianvari

warmoebuli produqciis 810 tona unda gamoiyenos (× 10/9) 900 tona

gamoiyena (540 + 360) 900 tona

raodenobis gadaxra 0 tona

Tebervali

warmoebuli produqciis 765 tona unda gamoiyenos (× 10/9) 850 tona

gamoiyena (480 + 360) 840 tona

raodenobis gadaxra 10 tona x


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masalis erTi tonis normatiuli fasi $36

raodenobis gadaxra ($) $360 x

marti

warmoebuli produqciis 900 tona unda gamoiyenos (× 10/9) 1,000 tona

gamoiyena (700 + 360) 1,060 tona

raodenobis gadaxra 60 tona a

nedleulisa da masalebis erTi tonis

normatiuli fasi $36

raodenobis gadaxra ($) $2,160 a

saboloo angariSi

ianvari Tebervali marti

masalis fasis gadaxra

X masala 0 960 a 1,400 a

Y masala 0 0 0

masalis nomenklaturis gadaxra 0 360 a 960 x

masalis raodenobis gadaxra 0 360 x 2,160 a

masalis gamoyenebis gadaxra 0 0 1,200 a

masalis mTliani gadaxra 0 960 a 2,600a

b) ianvris Tvis warmoeba zustad normativebis Sesabamisia. Y masalis fasi normati-

vebis Sesabamisia mTeli periodis ganmavlobaSi. X masalis fasi Tebervlis

normativze $2-iT ($960/480) maRalia, $2-iT ($1,400/700) maRalia aseve

martis normativze. ase gagrZelebis SemTxvevaSi, saWiro gaxdeba X masalis

normatiuli fasis gazrda. nomenklaturaSi X masalis wili Seicvala da

TebervalSi gaxda 57% (480/840), xolo martSi _ 66% (700/1,060).

TebervalSi danaxarjebis zrda, romelic naCvenebia, rogorc nomenklaturis

$360-is odenobis araxelsayreli gadaxra, gamowveulia iafiani X masalis

nacvlad, Zvirad Rirebuli Y masalis gamoyenebiT. TebervalSi raodenoba

gaizarda. gazrdili raodenoba SeiZleba ganvixiloT, rogorc 9 tonis [(840 ×

90% - 765)] odenobis mogeba normis zeviT, romlis normatiuli danaxarjebia (×

$40 =) $360. Semcirda aseve Tebervlis warmoeba.

martis TveSi X masalis (romelic iaffasiania) gamoyenebis wilis mniSvnelovani

zrda gamowveulia nomenklaturis xelsayreli gadaxriT, magram aman SeiZleba

gamoiwvios raodenobis mniSvnelovani araxelsayreli gadaxrac. martSi warmoeba

SedarebiT maRali iyo, vidre ianvarsa da TebervalSi, es ki SesaZloa,

raodenobis araxelsayreli gadaxris mizezi iyos.


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zogadad, rogorc Cans, nomenklaturasa da raodenobas Soris arsebobs

urTierTkavSiri. Tu Y masalis wili gaizrdeba (romelic nomenklaturis

araxelsayrel gadaxras iwvevs iqidan gamomdinare, rom Y masala ufro Zvirad

Rirebulia), gaumjobesdeba raodenobis gadaxrac, rogorc es TebervalSi moxda.

martSi ki sawinaaRmdego situacia iyo.

SesaZloa aseve urTierTkavSiri arsebobdes raodenobasa da warmoebis moculobas

Soris: TebervalSi warmoeba dabali, xolo raodenoba maRali iyo, maSin, roca

martSi warmoeba maRali, xolo raodenoba dabali iyo.

4. DDecember 2010 question 4


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5. December 2010 question 5


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wigni f5 2013 wlis ianvris gamocdis pasuxi - gfpaa.gegfpaa.ge/site/files/sertificirebis...

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