Solucionario - Soporte 7a

 

?.-Hb suphrlhrnoc` b`nob n`lpro bhneuio t`c`s b`s cìos poro oshiuror bo drhsnuro chb pr`cunt`. Noco loÿojo, nuobqughr  bhneuio quh eoyo quhcoc` chb cìo ojthrg`r sh vhjch o uj cgstrgmugc`r quh bo rhvhjch o b`s irojfhr`s poro quh obglhjthj o sus ojglobhs. Hsto shlojo, hb suphrlhrnoc` puhch n`lpror bhneuio drhsno o 3 cþborhs bo nofo. Bo bhneuio sh vhjch hj ?1 cþborhs bo nofo y hb cgstrgmugc`r quh vhjch bo bhneuio rhlojhjth hstï cgspuhst` o poior ?.81 cþborhs p`r nofo. Bo hxphrghjngo hstombhnh quh bo chlojco pr`lhcg` ch bhneuio poro loÿojo hs ch =81 nofos n`j ujo chsvgongþj hstïjcor ch >3 nofos. °Nuïjtos nofos ch bhneuio chmh n`lpror hb suphrlhrnoc` loÿojo0

Nu < $?1 - $3 < $4 N` < $3 - $?.81 < $=.81  Q≣

  N u N ` + N u

<

  4

+

=.81 4

< .9187 , J@]L^GJT(.9187)3) < =45.3 ` =45 nofos ch bhneuio

=.- Bo prþxglo shlojo, ^uphr Cgsn`ujt Ogrbgjhs tghjh uj vuhb` ch Juhvo W`rk o B`s Ïjihbhs quh hstï rhshrvoc` o t`co su nopongcoc. Bo bìjho oçrho somh, p`r hxphrghjngo, quh uj pr`lhcg` ch =8 nbghjths (n`j ujo chsvgongþj hstïjcor ch ?8) nojnhboj su rhshrvongþj ` j` sh prhshjtoj ob vuhb`. Bo iojojngo p`r uj m`bht` hs ch ?=8 cþborhs. ^g hb vuhb` hstï s`mrhvhjcgc`, bo bìjho oçrho tghjh bo p`bìtgno ch sumgr ob nbghjth hj hb sgiughjth vuhb` cgsp`jgmbh y corbh o hso phrs`jo uj  m`bht` ch c h vgofh rhc`jc` irotgs poro uj vuhb` dutur`. d utur`. Hb n`st` pr`lhcg` pr `lhcg` ch hsth vgofh rhc`jc` hs ch c h =81 cþborhs. ^uphr  Cgsn`ujt n`jsgchro quh hb n`st` ch vgofor hj ovgþj ch Juhvo W`rk o B`s Ïjihbhs hs uj n`st` grrhnuphrombh °Nuïjt`s osghjt`s chmh s`mrhvhjchr ^uphr Cgsn`ujt0

Nu < $?=8 N` < $=81  Q ≣

N u N ` + N u

+

?=8 =81 + ?=8

< .>>>

, J@]L^GJT(.>>>)?43

Hj nos` ch n`lpror =8 + (-.3>?43)(?8) < ?5.8=83. ^uphr Cgsn`ujt chmh ?7 posofhr`s chb vuhb`.

>.- ]oy‗s ^othbbgth Hlp`rgul qughrh chthrlgjor hb lhf`r toloÿ` ch phcgc` poro su ojthjo quh lïs sh vhjch (hb l`chb` S^???). ]oy hstglþ quh bo chlojco ojuob poro hsth l`chb` shrï ch ? 111 ujgcochs. ^u n`st` p`r lojhfor ujo ujgcoc hs ch ?11 cþborhs ob oÿ` p`r ujgcoc y hstglo quh noco phcgc` nuhsto =8 cþborhs. Xtgbgzojc` hb l`chb` H@_, °Nuïjtos ujgcochs chmh phcgr ]oy noco vhz0

∖

_`pt <

= C^

 E 

∖

<

(

)

= ?111 =8 ?11

 < ==.>4

↝

 ==

 

3.-Cujstrhht‗s Chportolhjt ^t`rh qughrh chsorr`bbor ujo p`bìtgno ch phcgc`s poro hb gjvhjtorg` n`j ujo pr`momgbgcoc ch 78% ch quh j` sh oi`th. Qoro gbustror hb pr`nhcglghjt` quh rhn`lghjco, utgbgnh n`l` hfhlpb` bo p`bìtgno ch phcgc`s ch sïmojos mbojnos. Bo chlojco ch sïmojos mbojnos hs ch 8 111 ob oÿ`. Bo tghjco hstï omghrto b`s >48 cìos chb oÿ`. Noco c`s shlojos (?3 cìos), sh nuhjto hb gjvhjtorg` y sh eonh uj juhv` phcgc`. Bos sïmojos torcoj ?1 cìos hj bbhior. Bo chsvgongþj hstïjcor ch bo chlojco hs ch ngjn` p`r cìo. Hj bo ontuobgcoc, eoy ?81 sïmojos cgsp`jgmbhs. °Nuïjtos sïmojos chmh phcgr0

 Jgvhb ch shrvgng` Q < .78, C < 8111, c  < 8111/>48, S < ?3 cgos, B < ?1 cgos , cgo, y

ώ 

 < 8 phr 

G pujt`s

ώ 

 < >1 p`r shlojo, y

 

4.- Coco bo gjd`rlongþj sgiughjth, d`rlubh uj sgsthlo ch lojhf` ch gjvhjtorg`s. B 4. o chlojco chb pr`cunt` omorno 81 shlojos chb oÿ`.

o) Hstombhzno bo nojtgcoc chb phcgc` y hb pujt` ch rh`rchj. m) Chthrlgjh b`s n`st`s ch lojthjglghjt` y phcgc` ojuobhs. 8 1 cþborhs p`r phcgc` p`r n`lpror nojtgcochs suphrg`rhs n) ^g sh `drhngþ ujo rhcunngþj ch prhng` ch 81

o = 111, °opr`vhneorìo bo `p`rtujgcoc0 °Nuïjt` oe`rrorìo ob oÿ`0

∖

_`pt <

= C^

 E 

∖

<

(

)

= =8981 =81

(

.>> ?1

)

 < ?798.=>

↝

 ?798

z < ?,43   < 8?8 (?) + (?,43) < =8 884 m. ^`sthjghjc` n`st` ,=85.98 @rchj n`st` ,=87.37 n. ^`sthjghjc` n`st` ,>11.11 @rchj n`st` ,=?5.98 Hb n`st` t`tob ojuob n`j chsnuh chsnuhjt` jt` $ 4,8?5. 4,8?5.98 98 - 81 (=8981 (=8981/=1 /=111) 11) < $ 8,598. 8,598.11, 11, sgj chsnuhjt` hs ch $ 4,8?5.=3. Q`r b` tojt`, hb h b oe`rr` shrìo 43>,=3 cþborhs poro hb oÿ`. 9.- Bghuthjojt N`llojchr Coto pbojho rhobgzor su vgofh lhjsuob (noco >1 cìos) o Iollo Eycro Ngty poro rhn`ihr uj sulgjgstr` ch negps gs`bgjhobhs. Hb vgofh bbhvorï obrhchc`r ch c`s c` s cìos. Ojths ch sobgr, Coto eonh hb phcgc` o IEN ^uppby ^t`rh. Coto utgbgzo b`s negps hj uj ìjcgnh pr`lhcg` ch ngjn` p`r cìo (sghth cìos o bo shlojo) n`j ujo chsvgongþj hstïjcor ch bo chlojco ch uj` p`r cìo. Jhnhsgto ujo pr`momgbgcoc ch shrvgng` ch 75%. ^g hj bo ontuobgcoc tghjh >8 negps hj hb gjvhjtorg`,  °Nuïjt`s chmh phcgr0 °Nuïjt` hs b` lïs quh thjcrï quh phcgr0 Ch jgvhb ch shrvgng` Q < 1,75 < 8 p`r cìo, S < >1 cìos, B < = cìos, < ? cþbor ob cìo, y < >8.

q 8  < ?>4.41

↝

 ?>9 dgneos

B` lïs quh bh eh phcgc` shrìo nuojc` o bo loj` hro h ro nhr`.

q 1 += )+ =.18 ( 8.489 )  < ?9?.41

↝

?9= dgneos

 

5.-Fgbb‗s F`m ^e`p n`lpro c`s pghzos (Shicgws y Ygcihts) poro utgbgzorbos hj su sgsthlo ch pr`cunngþj o c`s pr`vhhc`rhs cgdhrhjths. Bos pghzos sh jhnhsgtoj curojth t`c` hb oÿ` ch 8= shlojos. B`s Shicgws sh usoj o uj rgtl` rhbotgvolhjth n`jstojth y sh pgchj sghlprh quh bo nojtgcoc rhstojth mofo ob jgvhb ch v`bvhr o phcgr. B`s Ygcihts sh pgchj o uj pr`vhhc`r  quh bbhio noco trhs shlojos. B`s cot`s ch olm`s pr`cunt`s s`j b`s sgiughjths6

o) °Nuïb hs hb sgsthlo ch n`jtr`b ch gjvhjtorg` poro b`s Shicgws0 Hs chngr, °quç nojtgcoc sh chmh

v`bvhr o phcgr y hj quç pujt`0 m) °Nuïb hs hb sgsthlo ch n`jtr`b ch gjvhjtorg` poro b`s Ygcihts0

o.

∖

_`pt <

= C^

 E 

∖

<

(

)

= ?1111 ?81 ?81

(

.=1 ?1

)

 < ?==3.93

↝

 ]

?==8 ujgcochs ↝

5=3 ujgcochs

 m. q +?) (8111/8=)(>+?) + 8 „ G < >71 „ G

7.-Bo chlojco ch ujo pghzo hs ch ? 111 ujgcochs ob oÿ`. Noco phcgc` ehne` nuhsto ?1 cþborhs; hb n`st` ojuob ch lojhfor bos pghzos hj hb gjvhjtorg` hs ch = cþborhs noco uj`. o) °_uç nojtgcoc sh chmh phcgr0 m) ^up`jghjc` quh eoy uj chsnuhjt` ch ?11 cþborhs p`r phcgc` sg sh pgchj 811 ujgcochs ` lïs. °^h chmhj eonhr phcgc`s ch 811 pghzos ` hs jhnhsorg` ophiorsh o bo chngsgþj t`loco hj o)0

o.

 m.

∖

_`pt <

= C^

 E 

∖

<

(

)

= ?111 ?1 =

 < ?11 ujgcochs

?111  C _ SN A _< ?11<  ^ +  E < ?11 = _

?1

+

?11 =

=

 < $=11

811 ?111 _  C ( ?1∝?11 )+ = SN A _< 811 <  ^ +  E < = 811 = _  < $>=1

Q`r b` tojt`, rhjujngor ob chsnuhjt`, t`covìo hs lïs morot` phcgr ?11 ujgcochs o bo vhz.

 

?1.-  Bo chlojco ojuob ch uj pr`cunt` hs ch ?8 411 ujgcochs. Bo chlojco shlojob hs ch >11 ujgcochs n`j ujo chsvgongþj hstïjcor ch 71 ujgcochs. Hb n`st` ch eonhr uj phcgc` hs ch >?.=1 cþborhs y hb tghlp` poro rhngmgrb` hs ch nuotr` shlojos. Hb n`st` ojuob ch lojhf` ch gjvhjtorg` hs ch 1.?1 cþborhs p`r ujgcoc. Hjnuhjtrh hb pujt` ch v`bvhr o phcgr b` jhnhsorg` poro thjhr ujo pr`momgbgcoc ch shrvgng` ch 75 p`r nghjt`. ^up`jio quh hb ihrhjth ch pr`cunngþj tghjh quh rhcungr hb gjvhjtorg` ch shiurgcoc ch hsto pghzo 81%. ^g b` eonh, °nuïb shrï bo pr`momgbgcoc ch shrvgng`0

(

<  E  <

`pt 

∖

)

= ?8411 >?.=1

= C^

_

∖

 < >?=1 ujgcochs

.?1

 Bώ  11(3) + (=.18)?51 < ?=11.1 + >47 < ?847 ^g hb st`nk ch shiurgcoc sh rhcunh hj uj 81 p`r nghjt`, hjt`jnhs ^^ < ?58 ujgcochs.  z <

ss, p`r b` quh bo pr`momgbgcoc ch shrvgng` hs 53,5%

??.- Bo chlojco cgorgo ch uj pr`cunt` hs ch ?11 ujgcochs, n`j ujo chsvgongþj hstïjcor ch =8 ujgcochs. Hb phrg`c` ch rhvgsgþj hs ch ?1 cìos y hb tghlp` ch hjtrhio hs ch 4 cìos. Hj hb l`lhjt` ch bo rhvgsgþj, eoy 81 ujgcochs hj hxgsthjngo. ^g sh chsho ujo pr`momgbgcoc ch shrvgng` ch 75%, °nuïjtos ujgcochs sh chmhj phcgr0

Ch jgvhb ch shrvgng` Q < 1.75, < ?11 p`r cìo, S < ?1 cìos, B < 4 cìos < =8 cìos, y < 81. q