Solucion de Problemas Formulacion MPL

 

ZIOWJ@IK HG ^VIFOGECZ HG AIVEWOCJ@IK E^O

Oc @khustr`c ZCEZWKM hgfg hgj`h`r go kuegri hg tgogv`sirgs hg 86― y :6― c prihuj`r gk ukc hg sus acfr`jcs, oc `kvgst`mcj`úk hg egrjchi `kh`jc vgktcs c oi eãx`ei 36> tgogv`sirgs hg 86― y 2> hg :6― jchc egs. egs. Go kôegri eãx`ei hg bircs-biefrg h`spik`fog gs hg 32>> bircs pir egs, uk tgogv`sir hg 86¸¸rgqu`grg 6> bircs-biefrg bircs- biefrg y uki :6― rgqu`grg 38 bircs-biefrg, bircs -biefrg, jchc tgogv`sir hg 86― prihujg mckckj`cs hg $us => y jchc uki hg :6― hc ukc mckckj`c hg $us 7>. Wk h`str`fu`hir gstã hg cjugrhi c jieprcr tihis ois tgogv`sirgs prihuj`his s`geprg gk juckhi ki gxjghc go eãx`ei `kh`jchi pir go gstuh`i hg egrjchi. Aireuog go eihgoi hg primrcecj`úk o`kgco.

 ZIO  ZIOWJ WJ@@ ÚK JWCHVI VGZWEGK

tgogv`sirgs   ^rihujj`úk hg tgogv`sirgs Xv 86―  86―  Xv :6―  :6― 

Vgjursis

Qgktcs Qgktcs Ecki ifrc

3 6>

3 38

Mckckj`cs ($us./u) ($us./u)  

=>

7>

3) Hga`k`j`úk hg Qcr`cfogs

R34 ^rihujj`úk hg Xv 86― (u/egs) R64 ^rihujj`úk hg Xv :6― (u/egs) 6) Aukj`úk Ifdgt`vi

A.I.

Ecx. T



 =>R3 + 7>R6  ($us/egs) 

:) Vgstr`jj`ikgs Gstrujturcogs

Qgktcs

V 3

Qgktcs

V 6

E.I.

V :

3R3 

≨ 36> 3 R6  ≨ 2>

6> R3  +

38 R6  ≨ 32>>

8) Vgstr`jj`ikgs hg ki Kgmct`v`hch

R3, R6  ≧ >  > 

H`spik`f`o`hch Vgqugr`e`gkti

≨ 36> ≨ 2> ≨ 32>>

 

Oc geprgsc jikstrujtirc C^IOI, h`spikg hg his t`pis hg vioqugtcs Q3 y Q6 pcrc trckspirtcr ifrc . Zcf`gkhi qug h`spikg hg 1 Qioqugtcs t`pi Q3 jik 3>> tikgochcs hg crgkc c ukc ifrc. jcpcj`hch hg 36 tikgochcs y jik uk jisti hg 0>> 0 >> Fs pir v`cdg, y hg 3> Qioqugtcs t`pi Q6 jik ukc jcpcj`hch hg 7 tikgochcs y jik uk jisti hg 7>> Fs pir v`cdg. ¹Juão gs go kôegri hg vioqugtcs qug sg hgfg uscr pcrc qug go jisti sgc eåk`ei9

 ZIOWJ  ZIO WJ@@ ÚK JWCHVI VGZWEGK

Qioqugtc  X`pis hg Qioqugtc  Q3 Q6

Vgjursis Jcp. Xrckspirtg H`sp. Qioqugtcs H`sp. Qioqugtcs

36 3

Jistis (Fs./v`cdg)  (Fs./v`cdg) 

0>>

7 3 7>>

3) Hga`k`j`úk hg Qcr`cfogs

R34 Xrckspirtg gk oc vioqugtc t`pi Q3 (uk`hchgs hg v`cdg) R64 Xrckspirtg gk oc vioqugtc t`pi Q6 (uk`hchgs Q6  (uk`hchgs hg v`cdg) 6) Aukj`úk Ifdgt`vi A.I.

E`k. T



 0>>R3 + 7>>R6  (Fs) 

:) Vgstr`jj`ikgs Gstrujturcogs

Jcp. trckspirtg

V 3

H`sp. vioqugtcs

V 6

H`sp. vioqugtcs

V :

36R3 + 7 R6  R3

8) Vgstr`jj`ikgs hg ki Kgmct`v`hch

R3, R6  ≧ >  > 

≧ 3>> ≨1

R6  ≨ 3>

H`spik`f`o`hch Vgqugr`e`gkti

≧ 3>> ≨ 1  1  ≨ 3>  3> 

 

  J`grti acfr`jcktg prihujg his crtåjuois, C y F, pcrc oi qug rgqu`grg rgqu`grg oc ut`o`zcj`úk hg his sgjj`ikgs hg prihujj`úk4 sgjj`úk hg eiktcdg y sgjj`úk hg p`kturc. Go crtåjuoi C rgqu`grg ukc birc hg trcfcdi gk oc sgjj`úk hg eiktcdg y his gk oc hg p`kturc< y go crtåjuoi F, trgs bircs gk oc sgjj`úk hg eiktcdg y ukc birc gk oc hg p`kturc. Oc sgjj`úk hg eiktcdg sioi pughg pu ghg gstcr gk aukj`ikce`gkti kugvg bircs h`cr`cs, e`gktrcs qug oc hg p`kturc sioi ijbi bircs jchc håc. Go fgkga`j`i qug sg ift`gkg prihuj`gkhi prihuj`gkhi go crtåjuoi F gs hg 8> $us y go hg C gs hg 67 $us. Jcojuoc oc prihujj`úk h`cr`c h`cr`c hg ois crtåjuois C y F qug ecx`e`zc go fgkga`j`i.

 ZIOWJ WJ@@ ÚK  ZIO JWCHVI VGZWEGK

crtåjuois  ^rihujj`úk hg crtåjuois  C F

Vgjursis Zgjj`úk eiktcdg Zgjj`úk p`kturc

3 6

: 3

Fgkga`j`is ($us./u) ($us./u)  

67

8>

3) Hga`k`j`úk hg Qcr`cfogs

R34 Jckt`hch hg crtåjuois t`pi C c prihuj`r (u/h`c) R64 Jckt`hch hg crtåjuois t`pi F c prihuj`r (u/h`c) 6) Aukj`úk Ifdgt`vi

A.I.

Ecx. T



 67R3 + 8>R6  ($us/h`c) 

:) Vgstr`jj`ikgs Gstrujturcogs

Zgjj`úk eiktcdg

V 3

3R3 + :R6 

≨ 0

Zgjj`úk p`kturc

V 6

6R3 + 3R6 

≨ 2

8) Vgstr`jj`ikgs hg ki Kgmct`v`hch

R3, R6  ≧ >  > 

H`spik`f`o`hch Vgqugr`e`gkti

≨ 0  0  ≨ 2  2 

 

Oc geprgsc hg eihcs ‟COECKTC―  trcfcdc c pogki rgkh`e`gkti hurcktg 87 bircs c oc sgeckc. Oc geprgsc acfr`jc jce`scs, pcktcoikgs y trcdgs. Jchc jce`sc og hgdc uk fgkga`j`i hg 8 $us, ois pcktcoikgs 7 $us y ois trcdgs 37 $us. Oc prihujj`úk pir birc hg oc geprgsc gs hg 3> jce`scs, 37 pcktcoikgs y 7 trcdgs. Ocs vgktcs pis`fogs sik hg :>> jce`scs, 8>>  pcktcoikgs y 7> trcdgs. Juco gs go egdir pock hg prihujj`úk pcrc oc geprgsc pcrc qug iftgkmc eãx`eis fgkga`j`is.

 ZIOWJ  ZIO WJ@@ ÚK JWCHVI VGZWEGK

Vgjursis

Jce`scs 3

Qgktcs jce`scs Qgktcs pcktcoikgs Qgktcs trcdgs Jcp. ^rihujj`úk (u/br) Fgkga`j`i ($us/uk`hch)

^rihujtis  ^cktcoikgs

Xrcdgs

3 3> 8

37 7

3 7 37

3) Hga`k`j`úk hg Qcr`cfogs

R34 Jckt`hch hg jce`scs c prihuj`r (uk`hchgs/sgeckc) R64 Jckt`hch hg pcktcoikgs c prihuj`r (uk`hchgs/sgeckc) R:4 Jckt`hch hg trcdgs c prihuj`r (uk`hchgs/sgeckc) 6) Aukj`úk Ifdgt`vi

A.I.

Eãx. T



8R3 + 7R6  + 37R:  ($us/sgeckc) 

:) Vgstr`jj`ikgs Gstrujturcogs

Qgktcs

V 3

Qgktcs

V 6

Qgktcs

V :

Jcp. ^rih.

V 8 

R3 

≨ :>>  :>>  R6 

≨ 8>>  8>>  R:  ≨ 7>  7> 

:R3 + 6R6  + 1R:  ≨ 3:7>  3:7> 

8) Vgstr`jj`ikgs hg ki Kgmct`v`hch

R3, R6, R: ≧ >  >  Kitc4 Vgstr`jj`úk hg jcpcj`hch hg prihujj`úk  x

3

3>

 x



6

37

 x



:

7

 87

: x3  6 x 6  1 x: :>

 87

: x3  6 x 6  1 x:  3:7>

H`spik`f`o`hch 

:>> (u/sgeckc) 8>> (u/sgeckc) 7> (u/sgeckc) 87 (br/sgeckc)

 

 Oc geprgsc hg jikagjj`ikgs ‟@ECMGK― prihujg jce`scs y trcdgs hg vgst`r pcrc vcrikgs. Jchc jce`sc rgqu`grg 6 brs.- biefrg y 3 birc hg ecqu`kchi< jchc trcdg rgqu`grg 3> brs.biefrg y 8 bircs hg ecqu`kchi. ^crc oc jikagjj`úk hg ukc jce`sc sg rgqu`grg 3 egtri hg tgoc y pcrc uk trcdg : egtris hg tgoc. Cefcs tgocs sik h`agrgktgs. Zg h`spikg sgeckco hg 2> egtris hg tgoc pcrc jce`scs y 0> egtris hg tgoc pcrc trcdgs. Zg trcfcdc 7 håcs c oc sgeckc jik 3> ipgrcr`is y 8 ecqu`kcs hg jisturcr. Ocs ut`o`hchgs sik4 6> Fs./ jce`sc y 2> Fs./ trcdg. Juco gs go egdir pock hg prihujj`úk pcrc oc geprgsc.

 ZIOWJ  ZIO WJ@@ ÚK JWCHVI VGZWEGK

^rihujtis Jce`scs Xrcdgs 6 3> 3 8 3 : 6> 2>

Vgjursis

Ecki ifrc (b-b/u) Ecqu`kcr`c (b-e/u) Ect. pr`ec J. (et/u) Ect. pr`ec X. (et/u) Wt`o`hch (Fs/uk`hch) 3) Hga`k`j`úk hg Qcr`cfogs

R34 Jckt`hch hg jce`scs c prihuj`r (uk`hchgs/sgeckc) R64 Jckt`hch hg trcdgs c prihuj`r (uk`hchgs/sgeckc) 6) Aukj`úk Ifdgt`vi

A.I.

Eãx. T



 6>R3 + 2>R6  (Fs/sgeckc) 

:) Vgstr`jj`ikgs Gstrujturcogs

E.I.

V 3

6R3 + 3>R6  ≨ 8>>  8>> 

Ecq.

V 6

R3 +

E.^.

V :

R3 

E.^.

V 8 

8R6  ≨ 31>  31>  ≨ 2> :R6  ≨ 0>

8) Vgstr`jj`ikgs hg ki Kgmct`v`hch

R3, R6 ≧ >  >  Kitc4 H`spik`f`o`hch ecki hg ifrc y ecqu`kcr`c 7

h`cs

*

 sge  sge 7

h`cs  sge  sge

2bircs 3h`c

*

2bircs 3h`c

 

*3> biefrgs



 

* 8ecqu`kcs



 8>>

31 31> >

b b 

 sge  sge b e 

 sge  sge

 

 

H`spik`f`o`hch

8>> (b-b/sgeckc) 31> (b-e/sgeckc) 2> (et/sgeckc) 0> (et/sgeckc)

 

Oc geprgsc @EH ZVO  eckt`gkg su prihujj`úk gk sgr`g hg j`grtc j`grtc oåkgc hg prihujtis sgm sgmôk ôk su hgeckhc. Oc mgrgkj`c qu`grg hgh`jcr oc jcpcj`hch hg prihujj`úk c : prihujtis gk pcrt`juocr pcrt`juocr.. Oc s`mu`gktg tcfoc rgsueg oc jcpcj`hch h`spik`fog qug pughg o`e`tcr c ocs eãqu`kcs4 X`gepi pir uk`hch (e`k-ecq/ uk`hch)

X`pi hg

X`gepi H`spik`fog

Jrgecoogrc hg h`rgjj`úk

Gsp`mc

Fcrrc hg tirs`úk

(e`k-eãq/sgeckc) 

Jirtchirc

3

=

7

6=>>

Xirki

7>

:>

37>

78>>

Argzchirc

1>

6>

=>

6=>>

Ecqu`kcr`c 

Oc ectgr`c pr`ec qug sg ut`o`zc pcrc oc acfr`jcj`úk hg ocs p`gzcs gs go cjgri qug jugstc 6 $us/lm. y sg h`spikg sgeckcoegktg hg 2>> lm, oc jckt`hch ut`o`zchc pir p`gzc gs hg 6 lm< 8 lm< y :> lm. rgspgjt`vcegktg. Go jisti hg prihuj`r ukc uk`hch hg jc jchc hc prihujti gstc fcschi h`rgjtcegktg gk go t`gepi hg ecqu`kcr`c. Go jisti pir birc pcrc ocs eãqu`kcs gs : $us, 37 $us y 32 $us rgspgjt`vcegktg. Go prgj`i hg vgktc pir uk`hch pcrc ois p prihujtis rihujtis gs hg 1> $us, 6= $us y 32> $us rgspgjt`vcegktg. rgspgjt`vcegktg. Hgtgre`kcr oc jckt`hch ipt`ec c acfr`jcr pcrc ecx`e`zcr go fgkga`j`i kgti titco.

 ZIOWJ WJ@@ ÚK  ZIO 3) Hga`k`j`úk hg Qcr`cfogs

R34 Jckt`hch hg jrgecoogrcs c acfr`jcr (uk`hchgs/sgeckc) R64 Jckt`hch hg gsp`mcs c acfr`jcr (uk`hchgs/sgeckc) R:4 Jckt`hch hg fcrrcs hg tirs`úk c acfr`jcr (uk`hchgs/sgeckc) 6) Aukj`úk Ifdgt`vi

A.I.

Eãx. T



 67.87R3 + 7.37R6 + 13.67R:  ($us/sgeckc) 

:) Vgstr`jj`ikgs Gstrujturcogs

Jirtchirc V 3 Xirki V 6 Argzchirc V : E^. (cjgri) V 8

R3 + =R6 + 7R:  ≨ 6=>> 7>R3 + :>R6 + 37>R:  ≨ 78>> 1>R3 + 6>R6 + =>R:  ≨ 6=>>  6=>>  6R3 + 8R6 + :>R:  ≨ 2>>

8) Vgstr`jj`ikgs hg ki Kgmct`v`hch

R3, R6, R: ≧ >  > 

 

Kitc4 Wt`o`hch pcrc oc aukj`úk ifdgt`vi ^rihujtis

Jisti ecqu`kcr`c

Jisti ectgr`c pr`ec

Jisti titco

Jrgecoogrc Gsp`mc Fcrrc hg tirs`úk

3(>.>7)+7>(>.67)+1>(>.:)5:>.77 =(>.>7)+:>(>.67)+6>(>.:)53:.27 7(>.>7)+37>(>.67)+=>(>.:)572.=7

6*6 5 8 6*8 5 2 6*:> 5 1>

:8.77($us/u) 63.27($us/u) 332.=7($us/u)

Wt`o` Wt` o`h hch 5 ^r ^ r gj` j`i i Qgktc Qgktc ‚   Ji J isti  Wt`o`hch4

Jrgecoogrc

1>  ‚  :8.77 5 67.87 ($us/u)

 Gsp`mc

6=  ‚  63.27 5 7.37 ($us/u)

 Fcrrc

32> ‚  332.=7  332.=7 5 13.67 ($us/u)

 

  Oc aãfr`jc hg gefut`his ‟ZCKXC AG― prgpcrc jbir`zis pcrr`oogris. Gstis pcrc jiks`hgrcrsg scouhcfogs kgjgs`tck 6>% hg mrcsc mrcsc i egkis. Oc jcrkg hg rgs jikt`gkg 31% hg mrcsc mrcsc y jugstc 6> Fs/lm. Oc jcrkg hg jgrhi jikt`gkg :7% hg mrcsc y jugst jugstcc 31 Fs/lm. Juco hgfgrã sgr oc jief`kcj`úk ipt`ec hg jcrkg pcrc prgpcrcr gxcjtcegktg 7>> lm. hg jbir`zis (go pgsi hg ois jikh`egktis gs hgsprgj`cfog).

 ZIOWJ WJ@@ ÚK  ZIO JWCHVI VGZWEGK

jcrkg  X`pi hg jcrkg  Vgs Jgrhi

Vgjursis

% Mrcsc Jbir`zi Jisti (Fs./Lm.)

31% 3

:7% 3

6>

31

3) Hga`k`j`úk hg Qcr`cfogs

R34 Jckt`hch hg jcrkg hg rgs c egzjocr (Lm.) R64 Jckt`hch hg jcrkg hg jgrhi c egzjocr (Lm.)  (Lm.)  6) Aukj`úk Ifdgt`vi

A.I.

Eåk. T



 6>R3 + 31R6  (Fs.) 

:) Vgstr`jj`ikgs Gstrujturcogs

Mrcsc

V 3

Jbir`zi

V 6

>.31R3 + >.:7R6  ≨ 3>> R3 +

R6  5 7>>

8) Vgstr`jj`ikgs hg ki Kgmct`v`hch

R3, R6  ≧ >  >  Kitc4 Kitc4  Vgqugr`e`gkti hgo pirjgktcdg hg mrcsc >.6 * 7> 7>> > lm    3> 3>> > lm    



Vgqugr`e`gkti

6>% 7>> Lm.

 

Wk rgjikij`hi `kvgrs`ik`stc h`spikg hg :>>.>>> $us pcrc `kvgrt`r gk fiosc. Zg rgjie`gkhck his t`pis hg cjj`ikgs. Ocs hgo t`pi C, qug r`khgk go 3>% y ocs hgo t`pi F, qug r`khgk go 2%. Zg hgj`hg `kvgrt`r uk eãx`ei hg 32>.>>> $us gk ocs hgo t`pi C y jiei eåk`ei 1>.>>> gk ocs hgo t`pi F. Chgeãs qugrgeis qug oc `kvgrs`úk gk ocs hgo t`pi C sgc c oi eãx`ei go hifog hg oc `kvgrs`úk gk F. ¹Juão t`gkg qug sgr oc h`str`fuj`úk hg oc `kvgrs`úk pcrc qug q ug go `kvgrs`ik`stc rgj`fc go eãx`ei `ktgràs ckuco9 AIVEWOCJ@IK E^O 3.- Hga`k`r Qcr`cfog hg hgj`s`úk R₃4 @kvgrs`úk cjj`ikgs X`pi C ($us)  ($us)   R₆4 @kvgrs`úk cjj`ikgs X`pi F ($us) 6.- Aukj`úk Ifdgt`vi A.I. Ecx`e`zcr T 5 >,3R₃ + >,>2R₆ ($us)  ($us)  :.- Vgstr`jj`ikgs Gstrujturcogs V₃4 R₃ + R₆ ≨ :>>>>>  :>>>>>  V64 R3

≨ 32>>>>  32>>>> 

V:4

R₆ ≧ 1>>>>  1>>>> 

V84

R3 ≨ 6R6  6R6 

8.- Vgstr`jj`ikgs hg Ki Kgmct`v`hch R₃≧ > < R₆ ≧ >  > 

 

31)  Eugfogs ‟BWVXCHI―  acfr`jc : jocsgs hg s`ooikgs jchc ukc rgqu`grg ukc tàjk`jc h`agrgktg hg acfr`jcj`úk. Go s`ooúk hg oudi rgqu`grg :7 bircs hg ecki hg ifrc y 0 bircs hg ecqu`kchi y prihujg ukc ut`o`hch hg 67 $us, go s`ooúk gstãkhcr rgqu`grg :> bircs hg ecki hg ifrc y = bircs hg ecqu`kchi y prihujg ukc ut`o`hch hg 6> $us< go s`ooúk gjikúe`ji rgqu`grg 67 bircs hg ecki hg ifrc y 7 bircs hg ecqu`kchi y prihujg ukc ut`o`hch hg 36 $us. Zg h`spikg 32>> bircs hg ecki hg ifrc y 87> bircs hg ecqu`kchi jchc egs. Oc hgeckhc egksuco oogmc eãx`ei 6> uk`hchgs pcrc ois eihgois hg oudi y 67 pcrc ois eihgois hg

gstãkhcr. Aireuocr uk eihgoi ectgeãt`ji pcrc hgtgre`kcr go egdir pock hg prihujj`úk.

 ZIOWJ  ZIO WJ@@ ÚK JWCHVI VGZWEGK

Z. oudi

Vgjursis

E.I. (b-b/u) Ecqu`kcr`c e/u)

^rihujtis Z. Z. gstãkhcr gjikúe`ji

(b-

:7 0

:> =

Hgeckhc Hgeckhc Z. oudiZ. gstãkhcr Wt`o`hch ($us/uk`hch)

3

3

67

6>

67 7

36

R34 Jckt`hch hg s`ooikgs hg oudi c acfr`jcr (uk`hchgs/egs) R64 Jckt`hch hg s`ooikgs gstãkhcr c acfr`jcr (uk`hchgs/egs) R:4 Jckt`hch hg s`ooikgs gjikúe`ji c acfr`jcr (uk`hchgs/egs) 6) Aukj`úk Ifdgt`vi

Eãx. T



 67R3 + 6>R6 + 36R:  ($us/egs) 

:) Vgstr`jj`ikgs Gstrujturcogs

E.I.

V 3

:7R3 + :>R6 + 67R:  ≨ 32>>

+Z3 (Biomurc)

Ecq.

V 6

0R3 + =R6 + 7R:  ≨ 87>

+Z6 (Biomurc)

Hge.

V : 

Hge.

V 8

R3  R6 

≨ 6>  6> 

+Z: (Biomurc)

≨ 67  67 

+Z8 (Biomurc)

8) Vgstr`jj`ikgs hg ki Kgmct`v`hch

R3, R6, R: ≧ >  > 

32>> (b-b/egs) 87> (b-e/egs) 6> 67 (u/egs) (u/egs)

3) Hga`k`j`úk hg Qcr`cfogs

A.I.

H`spik`f`o`hch

 

66) Oc geprgsc BCKZC Z.C. acfr`jc y vgkhg his t`pis hg fiefcs b`hrãuo`jcs4(3) oc kireco y (6) mrckhg. Go prijgsi csij`chi jik oc acfr`jcj`úk hg ocs fiefcs `epo`jc trgs cjt`v`hchgs4 gkscefochi, p`kturc y prugfcs (jiktrio hg jco`hch). Ois rgqugr`e`gktis hg rgjursis pcrc gkscefocdg, p`kturc y prugfc sg eugstrck gk oc tcfoc K´ 3. Oc jiktr`fuj`úk c ocs ut`o`hchgs  pir oc vgktc hg ukc fiefc kireco gs $us 7>, gk tckti qug oc ut`o`hch pir ukc fiefc mrckhg gs $us =7. gx`stgk h`spik`fogs pir sgeckc 82>> bircs hg t`gepi hg gkscefocdg, 302> hg t`gepi hg p`kturc y 0>> bircs hg t`gepi hg prugfc. Ocs gxpgr`gkj`cs cktgr`irgs hg vgktc

sgócock qug oc geprgsc pughg gspgrcr vgkhgr juckhi egkis :>> fiefcs kirecogs y 32> hg ocs mrckhgs pir sgeckc. C oc geprgsc og mustcråc hgtgre`kcr oc jckt`hch hg jchc t`pi hg  fiefc qug hgfg acfr`jcr sgeckcoegktg jik go ifdgti hg ecx`e`zcr sus ut`o`hchgs. XCFOC K´ 3 ^rijgsi hg eckuacjturc (bircs/uk`hch)

X`pi  Kireco Mrckhg

Gkscefog :.1 8.2

^`kturc 3.1 3.2

Jiktrio hg Jco`hch >.1 >.1

 ZIO  ZIOWJ WJ@@ ÚK   JWCHVI VGZWEGK

^VIHWJXIZ Fiefc Kireco Fiefc Mrckhg

Vgjursis

Gkscefog ^`kturc Jiktrio jco`hch

:.1 3.1 >.1

8.2 3.2 >.1

Wt`o`hch ($us/u)

7>

=7

3) Hga`k`j`úk hg Qcr`cfogs

R34 Jckt`hch hg fiefcs kireco c acfr`jcr (uk`hchgs/sgeckc) R64 Jckt`hch hg fiefcs mrckhg c acfr`jcr (uk`hchgs/sgeckc) 6) Aukj`úk Ifdgt`vi A.I. Eãx. T



 7>R3 + =7R6  ($us/sgeckc) 

:) Vgstr`jj`ikgs Gstrujturcogs

Gkscefog

V 3

:.1R3 + 8.2R6  ≨ 82>>

^`kturc

V 6

3.1R3 + 3.2R6  ≨ 302>

J. Jco`hch

V :

Qgktcs FK

V 8 

Qgktcs FM

V 7 

>.1R3 + >.1R6  ≨ 0>> R3

8) Vgstr`jj`ikgs hg ki Kgmct`v`hch

R3, R6 ≧ >  > 

≧ :>> R6 ≧ 32>

H`spik`f`o`hch

82>> (br/sgeckc) 302> (br/sgeckc) 0>> (br/sgeckc)

 

36) Oc bcj`gkhc ‟L-IVI― ut`o`zc h`cr`cegktg 2>> o`frcs hg co`egkti gspgj`co pcrc mckchi. Go co`egkti gspgj`co gs ukc egzjoc hg ecåz y sge`ooc hg siyc, jik ocs s`mu`gktgs jiepis`j`ikgs4 O`frc pir o`frc hg co`egkti ^ritg`kcs A`frc Jcoj`i >.>0 >.>6 >.>>3

Co`egkti

Ecåz Zge`ooc hg siyc

>.1

>.>1

>.>>6

Jisti ($us/O`frc) >.:

>.0

Ois rgqugr`e`gktis rgqugr`e`gktis h`gtàt`jis h`cr`is gst`puock gst`puock pir oi egkis uk :>% hg pritgåkcs, juckhi eujbi uk 7% hg a`frc y co egkis >.3% hg jcoj`i. Go gkjcrmchi hg oc bcj`gkhc hgsgc hgtgre`kcr go jisti eåk`ei h`cr`i hg oc egzjoc hg co`egkti.

 ZIOWJ  ZIO WJ@@ ÚK JWCHVI VGZWEGK

Co`egkti

Vgjursis

Ecåz >.>0 >.>6 >.>>3 3 >.:

^ritgåkc A`frc Jcoj`i Jiksuei Jisti ($us/of) 3) Hga`k`j`úk hg Qcr`cfogs

Zge`ooc hg siyc >.1> >.>1 >.>>6 3 >.0

R34 Jckt`hch hg ecåz c egzjocr (of/håc) R64 Jckt`hch hg sge`ooc hg siyc c egzjocr (of/håc) 6) Aukj`úk Ifdgt`vi

A.I.

Eåk. T



 >.:R3 + >.0R6  ($us/håc) 

:) Vgstr`jj`ikgs Gstrujturcogs

^ritgåkc A`frc

V 3 V 6

Jcoj`i

V :

Jiksuei

V 8

>.>0R3 + >.>6R3 +

>.1>R6  ≧ 68> >.>1R6  ≨ 8>

>.>>3R3 + >.>>6R6  ≧ >.2 R3 +

R6  5 2>>

8) Vgstr`jj`ikgs hg ki Kgmct`v`hch

R3, R6 ≧ >  >  Kitc4 Vgqugr`e`gkti hg ocs jiepis`j`ikgs

:>% hg ^ritgåkc4 7% hg A`frc4

>.: * 2>> 5 68> >.>7 * 2>> 5 8>

8%

>.3% hg Jcoj`i4  >.>>3 * 2>> 5 >.2

>.37%

Vgqugr`e`gkti

≧ :>% ≨ 7%  7%  ≧ >.3% >.3% 5 2>> (of/håc)