Solución CP Clase 3

 

Ightnfaeamnm Cahnhiajrn pnrn en Marjiiaùh Insg [rîitaig Iensj 9? Ygeuiaùh

© Ahstatutg Jurgpjg mj [gsdrnmg >

 

 

Insg [rîitaig Iensj 9. Ygeuiaùh  

6

Ygeuiaùh

Jojriaiag > ]jhajhmg jh iujhtn ens saduajhtjs trnhsniiaghjs, igljhtnr quj nitavamnm mje Jstnmg mj Ceuogs mj Jcjitavg sjrình (Jxpegtniaùh, Ahvjrsaùh, Cahnhianiaùh) y sa jstnrìn jh pgsatavg g hjdntavg. @ji`gs

Nitavamnm

Alpgrtj mje jojriaiag mj en Nlgrtazniaùh mje Ahlgvaeaznmg

mgtniaùh

n

en

[gsatavg

Hjdntavg

Jxpegtniaùh

[gsatavg

Jxpegtniaùh

[gsatavg 

Ahvjrsaùh

Hjdntavg

Igfrg mj ahdrjsgs cahnhiajrgs

Jxpegtniaùh Jxpegtniaù h

[gsatavg [gsata vg

Dnstgs cahnhiajrgs cahnhiajrgs

Jxpegtniaùh

[gsatavg

Maslahuiaùh mj en iujhtn mj ieajhtjs

Jxpegtniaùh Jxpegtniaù h

[gsatavg [gsata vg

Nlpeaniaùh mj inpatne

Cahnhianiaùh Cahnhia niaùh

[gsata [gsatavg vg

Ahvjrsaùh

[gsatavg

Ahdrjsgs cahnhiajrgs

Jxpegtniaùh Jxpegtniaù h

Hjdntavg

[ndg mj dnstgs cahnhiajrgs

Jxpegtniaùh Jxpegtniaù h

Hjdntavg

Zh fnhig hgs gtgrdn uh prástnlg

Cahnhianiaùh Cahnhia niaùh

[gsata [gsatavg vg

Ahvjrsaùh

Hjdntavg

Nuljhtg mj en iujhtn mj Nirjjmgrjs rjspjitg ne jojriaiag nhtjragr Iglprn mj ahlgvaeaznmg ahlgvaeaz nmg lntjrane

Sjhtn mj ahlgvaeaznmg ahlgvaeaznmg ahlntjrane

Gtgrdnlgs uh prástnlg n gtrn jlprjsn n igfrnr jh 6 nþgs

AHY]A]Z]G JZVG[JG MJ [GYDVNMG

®

 

Hgtn ]áihain prjpnrnmn pgr je Ahstatutg Jurgpjg mj [gsdrnmg. Jstj ightjhamg js prgpajmnm mje Ahstatutg Jurgpjg mj [gsdrnmg. Yu macusaùh, rjprgmuiiaùh g usg tgtne g pnriane pnrn iunequajr gtrg prgpùsatg qujmn prg`afamn. ]gmgs egs mjrji`gs rjsjrvnmgs.  

 

Insg [rîitaig Iensj 9. Ygeuiaùh  

9

Maslahuiaùh mj en iujhtn mj Nirjjmgrjs

Jxpegtniaùh Jxpegtniaù h

Hjdntavg

Nuljhtg mj ens jxastjhians jxastjhian s

Jxpegtniaùh Jxpegtniaù h

Hjdntavg

Yj mjvujevj je :;% mj hujstrn mjumn igh prgvjjmgrjs

Jxpegtniaùh

Hjdntavg

Yj pndn mavamjhmgs mavamjhmgs n egs niiaghastns

Cahnhianiaùh

Hjdntavg

Nuljhtg mj en iujhtn mj mjumgrjs

Jxpegtniaùh Jxpegtniaù h

Hjdntavg

Nlgrtaznlgs pnrtj pjhmajhtj mj uh prástnlg

Cahnhianiaùh Cahnhia niaùh

Hjdntavg

Maslahuiaùh mj ens jxastjhians

Jxpegtniaùh

[gsatavg

Jojriaiag 6 Ineiuej je Jstnmg mj Ceuogs mj Jcjitavg mj en saduajhtj jlprjsn pnrn je nþg x.

A ha i a n e >.3;3

C a hn e >.0>=

6.;3;

6.93;

-9;;

-=:=

-:=3

16

>.3;;

6.93;

Jx astjhians

4;;

>;;;

-9;;

I eajhtj s

0;;

>.660

-=60

]j sgrj rìn

>;;

>96

-96

9.6;3

=.>4=

NI] ASG HG IGVVAJH] J Ahlgv aeaznmg lntj rane NNA L

NI] ASG IGVVAJH] J

]G] NE NI]ASG

AHY]A]Z]G JZVG[JG MJ [GYDVNMG

®

Sn r an i aùh

 

Hgtn ]áihain prjpnrnmn pgr je Ahstatutg Jurgpjg mj [gsdrnmg. Jstj ightjhamg js prgpajmnm mje Ahstatutg Jurgpjg mj [gsdrnmg. Yu macusaùh, rjprgmuiiaùh g usg tgtne g pnriane pnrn iunequajr gtrg prgpùsatg qujmn prg`afamn. ]gmgs egs mjrji`gs rjsjrvnmgs.  

 

Insg [rîitaig Iensj 9. Ygeuiaùh  

=

Ahai an e [N ] VALGHAG HJ ] G

C ah n e

Sn r an i aùh

6.;06

6.641

>.=;;

>.=;;

V j sj r v n s

:;;

306

[á rmamns y dn hnhian s

>06

>14

>.>6=

>.01:

3;3

19;

16

>>0

=63

0=4

9.6;3

=.>4=

I n patne sgiane

[N YASG

[ r g v j j mg r j s N irj j mgrj s pgr sj rv aiags M j umn s fn hin rans ]G]NE [NYASG Q

 

 

->06  

 

->:

-96=  

 

;

-63 -=6>

[N]VALGHAG HJ]G

Sj htns

:.;;;

I gstj mj v j htns Gtrgs dnstgs mj j x pegtniaùh Nlgrtazniaùh mj e ahlgv aeaznmg

Fj hj cai ag mj j x pegtn i aùh (J FA]) D nstgs cahnhiaj rgs

Fj hj cai ag n htj s mj alpuj stgs Alpuj stgs

®

-::: -16

9:3 -4=

606 -0:

Fj hj cai ag mj spuá s mj alpuj stgs

AHY]A]Z]G JZVG[JG MJ [GYDVNMG

-9.114

>14

 

Hgtn ]áihain prjpnrnmn pgr je Ahstatutg Jurgpjg mj [gsdrnmg. Jstj ightjhamg js prgpajmnm mje Ahstatutg Jurgpjg mj [gsdrnmg. Yu macusaùh, rjprgmuiiaùh g usg tgtne g pnriane pnrn iunequajr gtrg prgpùsatg qujmn prg`afamn. ]gmgs egs mjrji`gs rjsjrvnmgs.  

 

Insg [rîitaig Iensj 9. Ygeuiaùh  

:

N) CEZOGY MJ JCJI]ASG [GV NI]ASAMNMJY MJ JP[EG]NIAÙH Vjsuetnmg joj riaiag nhtjs alpujstgs

606

Noustjs ne rjsuetnmg

>33

.N lgrtazniaghj s

16

.Dnstgs cahnhiajrgs

4=

Snraniaghjs gpjrntavns

-940

.Jx astjhians

-9;;

.I eajhtjs

-=60

.[rgv jjmgrjs

96=

.N irjjmgrjs

63

Gtrgs Gtrgs ceuogs mj jxpegtniaùh

->:1

.[ndgs mj ahtjrjsjs

-4=

.[ndgs pgr alpujstg sgfrj fjhjcaiags

-0:

-01  < ]G]NE F) CEZOGY MJ JCJI]ASG [GV NI]ASAMNMJY MJ AHSJVYAÙH [ndgs pgr iglprn ahlgvaeaznmg

-9;;

-9;;

 < ]G]NE I) CEZOGY MJ JCJI]ASG [GV NI]ASAMNMJY MJ CAHNHIANIAÙH Jlasaùh prástnlg

=6>

 < ]G]NE J) SNVANIAÙH CEZOG JCJI]ASG

=6> 96

Jcjitavg g jquavnejhtjs ne iglajhzg mje jojriaiag Jcjitavg g jquavnejhtjs ne cahne mje jojriaiag

>;; >96

Jojriaiag 9 Igh egs saduajhtjs snemgs, ighstruyn je Fnenhij mj Yatuniaùh y ineiuej je Cghmg mj Lnhagfrn?

AHY]A]Z]G JZVG[JG MJ [GYDVNMG

®

 

Hgtn ]áihain prjpnrnmn pgr je Ahstatutg Jurgpjg mj [gsdrnmg. Jstj ightjhamg js prgpajmnm mje Ahstatutg Jurgpjg mj [gsdrnmg. Yu macusaùh, rjprgmuiiaùh g usg tgtne g pnriane pnrn iunequajr gtrg prgpùsatg qujmn prg`afamn. ]gmgs egs mjrji`gs rjsjrvnmgs.  

 

Insg [rîitaig Iensj 9. Ygeuiaùh  

3

Iu j h tn

Ynem g

Jquapgs prgijsg ahcgrlniaùh

:. 3;;

[rgpajmnm A hmustrane

>. :3=

M jumns n e/p

>;. :30

V jsjrvns

>. :3;

Lntjrans pralns Mjumgrjs

>. :3= =. :13

[rgvjjmgrjs ahlgvaeaz nmg e/p

=. :6=

Mjumns n i/p

3. 014

Irámatgs i/p

:. 694

Inon

9. 6:=

Ighstruiiaghjs

=:. ;;;

Nirjjmgrjs pgr prjst. Yjrv.

6. :3=

Ljrinmjrìns

6. 014

Irámatgs n e/p

6. 4=;

V jsuetnmg jojriaiag

=:3

Gfeadniaghjs y fghgs e/p

:. =>1

Ieajhtjs V jsuetnmg hjd . Nþgs Nhtjr.

6. :;; -6.:3=

Jejljhtgs ]rnhspgrtj

6=. :;;

[rgvjjmgrjs

0. :6:

SVM i/p

>. =44

Npeainiaghjs ahcgrlîtains

::1

Gfead niaghjs y fghgs i/p

:. 6=6

Fnhigs

>. 6;;

Inpatne

3;. ;;;

Ahtjrjsjs n i/p mj SVM

:;9

AHY]A]Z]G JZVG[JG MJ [GYDVNMG

®

 

Hgtn ]áihain prjpnrnmn pgr je Ahstatutg Jurgpjg mj [gsdrnmg. Jstj ightjhamg js prgpajmnm mje Ahstatutg Jurgpjg mj [gsdrnmg. Yu macusaùh, rjprgmuiiaùh g usg tgtne g pnriane pnrn iunequajr gtrg prgpùsatg qujmn prg`afamn. ]gmgs egs mjrji`gs rjsjrvnmgs.  

 

Insg [rîitaig Iensj 9. Ygeuiaùh  

4

-Fnenhij mj Yatuniaùh? x- >

NI ]ASG HG I GVVAJH]J

x

41.139 HJ]G

Lntj ra ne

4:.>;;

Inpa tne =:.;;; Vj sue tnmg jo j ria iag 6=.:;; Vj sjrvns :.3;; Vj Vjsu suetn etnmg mg hjd hjd.. Nþgs Nþgs Nht Nhtjr jr..

Ighs tr ui i a ghjs Je jljhtgs ]r n hs pgr tj Jqua pgs pr gijs g a hcgr ln i a ùh

Ahlntj rane

:1.=:6 3;.;;; =:3 >.:3; -6.: -6.:3 3=

6.>69

[r gpa jmn m A hmus tra n e

>.:3=

Npe a in i a ghjs a hcgrlî ta i n s

[NYASG HG I GVVAJH]J

6;.:>>

:: 1

Ca hnhia j rg

6.4=; 6.4=; Mj umns n e /p

Ir áma tgs n e /p

NI ]ASG HG I GVVAJH]J

69.660

Jx a stj hia ns

=.=3>

Ln tjr a n s pr a ln s

Gfe a dnia ghj s y fghgs e /p

>;.:30 :.=>1

>.:3= 6.014 [rgvjjmgr [rgvjjmgrjs js ahlgvaea ahlgvaeaznmg znmg e/p =.: =.:6= 6=

Ljr in mjr ìn s

Mj umgrj s

4.;13 Mjumgr js

=.:13

Ie a jhtjs

6.:;;

Ahvj rsa ghj s i/p

[NYASG I GVVAJH]J

69.660

4.6>4

A htjr js js n i /p mj SVM

:; 9

Gfeadniaghjs y fghgs i/p >.=44 Mjumns n i/p

Ir áma tgs i/p SVM i /p

Jcj ita vg

=.=:= In o n Fn hi gs

:.694

:.6=6

[rgvjj mgrjs Nirjj rjjmg mgrjs rjs pgr pgr prjst prjst.. Yjrv. Yjrv. 9.6:= Ni

3.014 0.:6: 6.:3 .:3=

>.6;;

]G]NE NI]ASG

>;9.>1> ] ]G G]NE [ NY ASG Q H J]G

>;9.>1>

-Cghmg mj Lnhagfrn? CL < Inpatnejs [jrlnhjhtjs ’ Nitavg Hg Igrrajhtj CL < (:1.=:6 + 6;.:>>) ’ 41.193 CL < ;

AHY]A]Z]G JZVG[JG MJ [GYDVNMG

®

 

Hgtn ]áihain prjpnrnmn pgr je Ahstatutg Jurgpjg mj [gsdrnmg. Jstj ightjhamg js prgpajmnm mje Ahstatutg Jurgpjg mj [gsdrnmg. Yu macusaùh, rjprgmuiiaùh g usg tgtne g pnriane pnrn iunequajr gtrg prgpùsatg qujmn prg`afamn. ]gmgs egs mjrji`gs rjsjrvnmgs.  

 

Insg [rîitaig Iensj 9. Ygeuiaùh  

CL < Nitavg Igrrajhtj ’ [nsavg Igrrajhtj CL < 69.660 ’ 69.660 CL < ; Yj mn je jxtrnþg insg jh je quj je Cghmg mj Lnhagfrn js ;, hg jxastj. Egs Vjiursgs [jrlnhjhtjs sgh adunejs ne Nitavg Hg Igrrajhtj2 js mjiar, je Nitavg Igrrajhtj prjsjhtn en lasln iunhtìn quj je [nsavg Igrrajhtj. Jstg djhjrn uh mjsjquaeafrag cahnhiajrg pgrquj neduhgs rjiursgs mje Nitavg Igrrajhtj sgh mj inrîitjr pjrlnhjhtj (pgr jojlpeg, lnhtjhjr uhn inhtamnm mjtjrlahnmn mj lntjran praln jh je nelniáh pgr sjduramnm y pnrn jvatnr uhn cnetn mj nprgvasaghnlajhtg quj pnrneaij je prgijsg prgmuitavg) y, pgr tnhtg, mjfjh cahnhianrsj igh Inpatnejs [jrlnhjhtjs y hg mj igrtg penzg2 y mj jstn lnhjrn, pujmj quj hg sj pujmnh `nijr crjhtj n neduhgs pnsavgs n igrtg penzg. [gr jojlpeg, sa n > mj jhjrg mje nþg x+> `ny quj `nijr crjhtj n en mjumn n igrtg penzg (3.014 ₥), hg `nfrìn je   sucaiajhtj mahjrg maspghafej pnrn jeeg (9.6:= ₥ + >6;; ₥).  ₥).  

AHY]A]Z]G JZVG[JG MJ [GYDVNMG

®

 

Hgtn ]áihain prjpnrnmn pgr je Ahstatutg Jurgpjg mj [gsdrnmg. Jstj ightjhamg js prgpajmnm mje Ahstatutg Jurgpjg mj [gsdrnmg. Yu macusaùh, rjprgmuiiaùh g usg tgtne g pnriane pnrn iunequajr gtrg prgpùsatg qujmn prg`afamn. ]gmgs egs mjrji`gs rjsjrvnmgs.  

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