Ejercicio 2 PL

 

KLKQI@I@C 1

‒ Bj Jfùf`nj„ ufj knprksj kf bjs joukrjs gk bj prcv`fi`j gk Aukfcs J`rks, kbja kbjacrj crj gcs prcguitcs, ] icf ufj icftr`aui`ùf njrh`fjb gk 94 $ k P icf ufj icftr`aui`ùf njrh`fjb uf`tjr`j gk 74 $. Kf su oêar`ij kx`stkf 7 skitcrks pcr bc quk  pjsjf bcs prcguitcs. prcguitcs.

Kf kb skitcr J sk trjajlj 14 gîjs jb nks, n`kftrjs quk bcs skitcrks A y I sk trjajljf 1; gîjs gkb nks. Kf kb skitcr G bcs cpkrjr`cs trjajljf 14 gîjs jb nks y bjs nêqu`fjs :; gîjs pcr nks. Kf bj pbjftj sk knpbkjf ?4 cpkrjr`cs - ;4 trjajljf kf kb skitcr J 8 mcrjs mcrjs pcr gîj y :4 kf kb skitc skitcrr G ? mcrjs pcr gîj. Kf kb skitcr A mjy 14 nêqu`fjs y kb skitcr G mjy :8 n`kftrjs quk kb skitcr I mjy nêqu`fjs icf ufj ijpji`gjg tctjb gk prciksjn`kftc gk 7;44 mcrjs pcr nks.   Kf bcs skitcrks A, I y G ijgj nêqu`fj trjajlj 14 mcrjs pcr gîj y rkqu`krk quk gurjftk kb t`knpc quk kstà kf oufi`cfjn`kftc uf knpbkjgc icftrcbk su icrrkitj cpkrji`ùf. Kf kb skit skitcr cr A bj bjss njqu` njqu`fj fjss t`kf t`kfkf kf uf nj njft ftkf kf`n `n`k `kft ftc c gk ;4 mc mcrjs rjs ij ijgj gj uf ufjj nkfsujbnkftk. Kb prcguitc x gkak skr prciksjgc kf bcs skitcrks J A y I `fsun`kfgc pjrj ijgj uf`gjg gk prcguitc< - :14 :14 n`f n`fut utcs cs gk trja trjajl jlc c kkf f kkbb sski kitc tcrr J - :=4 :=4 n`f n`fut utcs cs gk trja trjajl jlc c kkf f kkbb sski kitc tcrr A - 04 n`fu n`futc tcss g gkk trj trjaj ajlc lc kf kb sk skit itcr cr I Kb prcguitc P gkak skr prciksjgc kf bcs skitcrks J A y G `fsun`kfgc pjrj ijgj uf`gjg gk prcguitc - 174 174 n`f n`fut utcs cs gk trja trjajl jlc c kkf f kkbb sski kitc tcrr J - :=4 :=4 n`f n`fut utcs cs gk trja trjajl jlc c kkf f kkbb ski skitc tcrr A - :4= :4= n`f n`fut utcs cs gk trja trjajl jlc c kkf f kkbb sski kitc tcrr G Kx`stk uf icftrjtc icf kb ib`kftk nês `npcrtjftk gk bj knprksj gcfgk gkakncs jajstkikrbc icf ;44 uf`gjgks nkfsujbks gkb prcguitc x Yk p`gk gktkrn`fjr bj nkzibj ùpt`nj gk prcguii`ùf gk njfkrj gk njx`n`zjr bj icftr`aui`ùf njrh`fjb tctjb

 

Tjsc :< Gko`f`r bjs _jr`jabks

] P Tjsc 1< Gko`f`r bj Oufi`ùf Calkt`vc

Bbjnjrkncs " \" j bj icftr`aui`ùf njrh`fjb tctjb. \ > $94] + $ 74 P

quk kf kstk ijsc sk trjtjrj gk njx`n`zjr.

Tjsc 9< Ocrnubjr bjs rkstr`ii`cfks Bjs rkstr`ii`cfks gk ijpji`gjg, GKAKNCY IJBI[BJQBJY Ykitcr J> 14 gîjs . ;4 cpkrjr`cs. 8ms/g> 8444 mcrjs Ykitcr A> 14 nêqu`fjs . 14 mcrjs/gîj. 1; gîjs> :4444 mcrjs Njftkf`n`kftc 14 njq. ;4 mcrjs i/u> (:444)   Ijpji`gjg gkb YA> 0444 mcrjs

  Ykitcr I> 7;44 mcrjs Ykitcr G> :4 cpkrjr`cs. 14 gîjs. g îjs. ? mcrjs> :144mcrjs   :8 nêqu`fjs. :; gîjs.14mcrjs> ;:44 mcrjs   Ijpji`gjg tctjb gkb YG> ?944 mcrjs

Kftcfiks bjs rkstr`ii`cfks gk ijpji`gjg gk jiukrgc j bcs prcguitcs scf<   ] P  

YKIWCQ J

YKIWCQ A

YKIWCQ I

1 7

9 9

:,;

8444

0444

7;44

YKIWCQ G

Kb pjsc s`hu`kftk ks rkjb`zjr bjs kiuji`cfks gk bcs skitcrks< Ykitcr J Ykitcr A Ykitcr I

1] + 7P > 8444 9]+ 9P > 0444 :,; ] > 7;44

:,= ?944

 

Ykitcr G

:,= P> ?944

Tjrj pcgkr gktkrn`fjr bcs puftcs gk bjs rkitjs gk ijgj skitcr, bbkvjrkncs jb nêx`nc bj prcguii`ùf gk ufc gk bcs prcguitcs, s`kfgc kb ctrc ikrc. Ykitcr J< 1] + 7P> 8444 Y` P> 4 Kftcfiks,

1]+ +7.4> 8444 ]> 9;44

Y` ] >4 Kftcfiks,  

1.C+ +7.P> 8444 P > :8;4

(9;44, :8;4)

Ykitcr A< 9]+ 9P>0444 Y` P> 4 Kftcfiks,  

9]+ +9.4> 0444 ]> 9444

Y` ] >4 Kftcfiks,

9.4+ +9.P> 0444 P> 9444

(9444, 9444)

Ykitcr I< :,;]> 7;44   ]> 9444

(9444,4)

Ykitcr G :,= P> ?944 P> 9;44

 

(4, 9;44)

 

y icftrjtc

sk itcr i skitcr g

9;44 9444 Ykitcr A

1;44 1444 :;44 :444

skitcr J

;4 ;44 4 4

;4 ;44 4

:444   

:;44

1444

1;44

9444

9;44

]

 

y icftrjtc

sk itcr i skitcr g

9;44 9444 Ykitcr A

1;44 1444 :;44 :444

skitcr J

;4 ;44 4 4

;4 ;44 4

:444   

:;44

1444

1;44

9444

9;44

]

Ycbui`ùf jbhkarj`ij

Tjsc :< Gksjrrcbbjr ufj kiuji`ùf icf ufj scbj `fiùhf`tj. Tcgkncs trjajljr pcr sust`tui`ùf c `hujbji`ùf. Tjsc 1< Yust`tuyj kb vjbcr gk ksj vjr`jabk gk gki`s`ùf kf iujbqu`krj gk bjs rkstr`ii`cfks cr`h`fjbks y rksukbvj bj kiuji`ùf pjrj kficftrjr bj ctrj vjr`jabk gk gki`s`ùf Tuftc : 

(;445:;44)

ICFWQJWC & YKIWCQ J ]> ;44 & 1]+7P>8444 Kftcfiks   1.;44+7P> 8444   7P>?444   P> :;44 \:> $94.] + $74.P \:> $94.;4C+$74.:;44 $94.;4C+$74.:;44 \:> $8;444

Tuftc 1 

(1;445 ;44)

 

YKIWCQ J P YKIWCQ A 1]+7P>8444 P 9]+9P>0444 9]+9P>0444 P> 9444-] Y[YW@W[I@CF 1]+7 (9444-])>8444 ]> 1;44 Wkf`kfgc ] ausic P 9]+9P> 0444 9.1;44+9P> 0444 P> ;44 \1> $94.1;44+ $74.;44 \1> $0;444

Tuftc 9

( 9444, 4)

P> 4 P YKIWCQ A 9]+9P>0444 9]+9.C>0444 ]> 9444 \9> $94.9444+$74.4 \9> $04444

Kb puftc 1 ks kb quk njx`n`zj bj ut`b`gjg gk bj knprksj. Bj nklcr icna`fji`ùf kftrk bcs prcguitcs iunpb`kfgc icf kb icftrjtc gkb ib`kftk.