Presupuesto Maestro - Ejercicios - #1 para Hacer

 

Cel.. Hk`rbs Cel Hk` rbs Obrb Obrb`eh `eh Ab`ekh Ab` ekh

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RKEWBT\E@H@ ^TEWH@H @MAEKJM \HWEM GHLRCPH@ @B LEBKLEH\ BA^TB\HTEHCB\ LHTTBTH @B LMKPH@RTÁH ^RDCELH

^THLPELM KTM 4 AHPBTEH9

^rbsupubstm y pchkegelhleük @MLBKPB9

Obrb`eh Ab`ekh Hk`rbs HCRAKM.

Brwek Cbmkbc Huzh Gbrkhk`bz

\hkth Lruz - Dmceveh ^èjekh 8 `b ?

 

Cel.. Hk`rbs Cel Hk` rbs Obrb Obrb`eh `eh Ab`ekh Ab` ekh

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HLPEWE@H@B\ HLH@BAELH\9

Ch Gèdrelh BIBA^CM K¹ 8  \.H. udelh`h bk bc ^hrqub Ek`ustrehc `b ch Leu`h` `b \hkth Lruz `b ch \ebrrh, `b`elh`h h ch ghdrelhleük `b pubrths, y qub lubkth lmk sulurshcbs `b vbkth bk \hkth Lruz, Amktbrm y Uhphlhká, cm lmktrhth h ustb` phrh qub bchdmrb bc ^TB\R^RB\PM AHB\PTM lmrrbspmk`ebktb hc ùcteam treabstrb `b ch jbsteük 4>8:, phrh cm luhc cb prmpmrlemkh ch sejuebktb ekgmrahleük9

^TB\R^RB\PM ^TB\R^RB\P M @B WBKPH\ Cms vbk`b`mrbs `b lh`h ukh `b chs sulurshcbs rbhcezhrmk chs B\PEAHLEMKB\ @B WBKPH\, chs aesahs qub gubrmk rbvesh`hs y hiusth`hs pmr ch jbrbkleh `b lh`h sulurshc, quebkbs baetebrmk cms ^TMKÜ\PELM\ @B WBKPH\ phrh bc ùcteam treabstrb `b ch jbsteük 4>8:, lmk cm qub sb prbphrü bc sejuebktb ^TB\R^RB\PM @B WBKPH\ (BK RKE@H@B\)9 R KE@H@B\)9 ^TB\R^RB\PM @B WBKPH\ (RKE@H@B\) (8) ^TB\R^RB\PM \RLRT\HC MLPRDTB KMWEBADTB @ELEBADTB PTEAB\PTB \hkth Lruz 02> 28> 7>> 8.27> Amktbrm 02> 0?> 8. Uhphlhká PMPHCB\

> 8.80>

8.

04> 8.2>>

8.>?>

Pmahr bk lubkth qub cms prblems `b vbkths `b chs `egbrbktbs sulurshcbs smk cms sejuebktbs9 ^TBLEM\ @B WBKPH (4) \RLRT\HC Ds./Rke`h` \hkth Lruz 4.>>>,>> Amktbrm 8.52>,>> Uhphlhká 8.5>>,>> Lmk cms `htms prmpmrlemkh`ms prbphrb bc ^TB\R^RB\PM @B WBKPH\ (BK DMCEWEHKM\)9 ^TB\R^RB\PM @B WBKPH\ (BK DMCEWEHKM\) (>.>>> 8.>4>.>>> 8.4>>.>>> .>>> Amktbrm :7>.2>> ?::.2>> 5>> 4.2:0.>>> Uhphlhká 2:>.>>> 7?0.>>> :5?.>>> 4.>24.>>> PMPHCB\ 4.4.2>> 4.2?8.2>> 4.5>> :.:07.>>>

^èjekh 4 `b ?

 

Cel.. Hk`rbs Cel Hk` rbs Obrb Obrb`eh `eh Ab`ekh Ab` ekh ^TB\R^ ^TB \R^RB\ RB\PM PM R^@ R^@\\ ^TB\R^RB\PM @B ^TM@RLLEÜK (RKE@H@B\ @B ^TM@RLPM\ PBTAEKH@M\) ^hrh rbhcezhr bc ^TB\R^RB\PM @B ^TM@RLLEÜK tmahr bk lubkth qub hc gekhcezhr bc abs `b sbptebadrb sb lmkthdh lmk chs sejuebktbs uke`h`bs `b ^TM@RLPM PBTAEKH@M (^RBTPH\) bk lh`h ukm `b cms hcahlbkbs9 EKWBKPHTEM HC />5/4>8: (0) \hk\thRLLRruTz\HC Amktbrm Uhphlhká Gèdrelh PMPHCB\

RKE@?H>@B\ :> 2> 82>

Ch jbrbkleh ek`elü qub hc gekhcezhr lh`h ukm `b cms sejuebktbs trbs absbs sb `bsbh tbkbr uk Ekvbkthrem `b ^rm`ultms Pbraekh`ms bquevhcbktb h uk 4>% aès `b cm qub sb tbkáh hc ekelem `b lh`h abs. Ek Eklr lrba babk bktm tm `bs `bsbh bh`m `m ``bc bc eekv kvbk bkth threremm ej ejuh uhcc h 4> 4>% % (2) EKW KWBK BKPPHTEM TEM ML MLPPRD RDTB TB KM KMWWEBA EBADTB @ELE @ELEBBADT DTBB Ekelehc Gekhc

04>

04> 2>0

2>0 7>2

^TB\R^RB\PM @B ^TM@RLLEÜK (RKE@H@B\) (7) LMKLB^PM\ MLPRDTB KMWEBADTB @ELEBADTB PTEAB\PTB ^rbs. `b Wbkths (R) 8.80> 8. 8.2>> (+) Ekv. Gekhc `bsbh`m 04> 2>0 7>2 7>2 (-) Ekv. Ekelehc 04> 2>0 ^rm`ulleük Tbqubre`h 8.48> 8.0>0 8.7>8 0.482

^TB\R^RB\PM @B LMA^TH\ @B AHPBTEH B\ @ETBLPM\

^hrh rbhcezhr bc ^TB\R^RB\PM @B LMA^TH\ @B AHPBTEHCB\ @ETBLPM\ tmahr bk lubkth qub hc gekhcezhr bc abs `b sbptebadrb bk bc hcahlåk `b ch gèdrelh sb tbkáh 4?.>>>.- pebs `b ah`brh. Hc gekhcezhr lh`h ukm `b cms sejuebktbs trbs absbs sb `bsbh tbkbr uk Ekvbkthrem `b Ahtbrehcbs @erbltms bquevhcbktb h uk 42% aès `b cm qub sb tbkáh hc ekelem `b lh`h abs. Hsá thadeåk cms lmstms ukethrems `b cms ahtbrehcbs `erbltms hlmr`h`ms lmk cms prmvbb`mrbs smk cms sejuebktbs9 Ek Eklr lrba babk bktm tm ``bs bsbh bh`m `m `b `bcc ek ekvb vbkt kthr hrem em `b a aht htbr breh ehcc eju ejuhc hc h 42 42% % (:) EKWBKPHTEM MLPRDTB KMWEBADTB @ELEBADTB Ekelehc 4?.>>> >> 0 Gekhc >> 0 20.7?? Lmstm Rkethrem (Ds./^eb) ?,>> ?,>> 5,>> ^èjekh pebs `b ah`brh. ^TB\R^RB\PM @B LMA^TH\ @B AHPBTEHCB\ @ETBLPM\ (?) ^TB\R^RB\PM LMKLB^PM\ MLPRDTB KMWEBADTB @ELEBADTB PTEAB\PTB ^rm`ulleük Tbqubre`h 8.48> 8.0>0 8.7>8 0.482 (*) Aht. @erbltm pmr Rke`h` ?> ?> ?> ?> (1) Aht. @erbltm Tbqubre`m 57.?>> 884. 84?.>?> (+) Ekv. Gekhc `bsbh`m (-) Ekv. Ekelehc (1) Lmaprhs Tbqubre`hs (*) Lmstm Rkethrem (Ds./^eb) (1) LM\PM @B LMA^TH\

>> 4?.>>> 8>> ? ?.0>>

0 >> 848.>:> ? 57?.27>

20.7?? 0 88? 5 8.428.874

20.7?? 4?.>>> > 884. 84?.>?> (*) Lmstm Rkethrem (Ds./^eb) ? ? 5 ?,

^TB\R^RB\PM @B AHKM @B MDTH @ETBLPH H phrter `b ch ^rm`ulleük Tbqubre`h, shdebk`m qub bk prmab`em bc tebapm utecezh`m phrh ghdrelhr ukh pubrth bs `b ? omrhs y qub bc lmstm pmr omrh qub sb phjh hc pbrsmkhc qub trhdhih bk ch ghdrelhleük `b chs pubrths bs `b 42.- Ds./Omrh, rbhcezhr bc ^TB\R^RB\PM ^TB\R^RB\P M @B AHKM @B MDTH @ETBLPH. ^TB\R^RB\PM @B AHKM @B MDTH @ETBLPH (8>) ^TB\R^RB\PM LMKLB^PM\ MLPRDTB KMWEBADTB @ELEBADTB ^rm`ulleük Tbqubre`h 8.48> 8.0>0 8.7>8 (*) Ors. Ahkm `b Mdrh pmr Rke`h` ? ? ? (*) Lmstm pmr Ors. Ahkm `b Mdrh 42 42 42 LM\PM AHKM @B MDTH @ETBLPH 404.>>> 4?>.?>> .4>>

PTEAB\PTB 0.482 ? 42 ?0>>

^èjekh 0 `b ?

 

Cel.. Hk`rbs Cel Hk` rbs Obrb Obrb`eh `eh Ab`ekh Ab` ekh ^TB\R^ ^TB \R^RB\ RB\PM PM R^@ R^@\\ ^TB\R^RB\PM @B LM\PM\ EK@ETBLPM\ @B GHDTELHLEÜK ^hrh prbphrhr bc ^TB\R^RB\P ^TB\R^RB\PM M @B LM\PM\ EK@ETBLPM\ @B GHDTELHLEÜK tmab bk lubkth cms sejuebktbs `htms9 AHPBTEHCB\ EK@ETBLPM\ (88) ^bjhabktm Ceihs LM\PM AHP. EK@ETBLPM\

MLPRDTB KMWEBADTB @ELEBADTB PTEAB\PTB 4:.?:?,0> ..724,?>

:7.?.>2> 48>.:2> JH\PM\ EK@. @B GHDTELHLEÜK (8.8 47.4?4,?? .7>0,?> 4>8.>

72.:>:,4> 88?.4:4,57 474.?4?,?>

? 805.? 7>.724,?> :7.?.>2> (+) Jhstms Ek`erbltms Ghdrelhleük 4>8.> 474.?4?,?> .:2> :5:.8 8.858.?00,0>

^TB\R^RB\PM @B EKWBKPHTEM\ GEKH B\ Bk preabr cujhr lhcluchams bc vhcmr qub tebkbk cms Ekvbkthrems Gekhcbs `b Ahtbrehcbs @erbltms, seapcbabktb auctepcelhk`m chs uke`h`bs bxestbktbs hc gekhc `b lh`h abs pmr bc lmstm ukethrem qub tebkbk `b hlubr`m h ch ekgmrahleük hktbs prmpmrlemkh`h. Bc lms msttm uk uketethr hrem em `b cm cmss aht htbr breehc hcbs bs bx bxes esttbk bktb tb hc //>5 >5/4 /4>8 >8:: brh brh `b Ds.9 ?,> ?,>> EKWBKPHTEM GEKHC @B AHPBTEHCB AHPBTEHCB\\ @ETBLPM\ (82) LMKLB^PM\ \B^PEBADTB MLPRDTB KMWEBADTB @ELEBADTB Ahtbrehc @erbltm bk Rke`h`bs 4?.>>> >> 0 20.7?? (*) Lmstm Rkethrem (Ds./^eb) ? ? ? 5 LM\PM EKW. GEKHC @B AHP. @ET. (Ds.)

440.>>>

4?>.>>>

.>>>

054.854 ^èjekh 2 `b ?

 

Cel.. Hk`rbs Cel Hk` rbs Obrb Obrb`eh `eh Ab`ekh Ab` ekh

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^hrh pm`br lhcluchr bc vhcmr qub tebkbk cms Ekvbkthrems Gekhcbs `b ^rm`ultms Pbraekh`ms, bk preabr cujhr sb tebkb qub lhcluchr bc Lmstm `b ^rm`ulleük Abksuhc, phrh cubjm `eve`ercm bktrb ch ^rm`ulleük Tbqubre`h `b lh`h abs, lmk cm qub sb mdtebkb bc Lmstm Rkethrem `bc ^rm`ultm Pbraekh`m bk lh`h ukm `b cms absbs. BCBABKPM\ @BC LM\PM (87) Lmstm `b Ahtbrehc @erbltm Lmksuae`m Lmstm `b Ahkm `b Mdrh @erblth Lmstms Ek`erbltms `b Ghdrelhleük LM\PM @B ^TM@RLLEÜK ABK\RHC ^rm`ulleük Tbqubre`h LM\PM RKEPHTEM @B ^TM@. PBTA.

MLPRDTB ::0.0>> 404.>>> ?.? 8.? 8.48> 8.>50,?>

KMWEBADTB @ELEBADTB ?5?.27> 8.824.:4> 4?>.?>> .4>> 8.2:08,7> 8.574.::0,?> 8.0>0 8.7>8 8.84>,0> 8.442,5:

^hrh qub pmstbremrabktb lhclucbams bc vhcmr qub tebkbk cms Ekvbkthrems Gekhcbs `b ^rm`ultms Pbraekh`ms, auctepcelhk`m chs uke`h`bs bxestbktbs hc gekhc `b lh`h abs pmr bc lmstm ukethrem qub tebkbk `b hlubr`m h cms lèclucms rbhcezh`ms bk bc luh`rm hktbremr. Bc lm lmstm uukkethrem ``bb chs pubrths bxestbktb hc hc />5/4>8: bbrrh ``bb Ds.9 8.8>>,>> EKWBKPHTEM GEKHC @B ^TM@RLPM\ PBTAEKH@M\ (8:) LMKLB^PM\ \B^PEBADTB MLPRDTB KMWEBADTB @ELEBADTB ^(*r)mL`muslttmm RPbkretahrekemh`(Dmsb./k^uRbkret`hh) `bs LM\PM EKW. GEKHC ^TM@. PBTA. (Ds.)

8>> 025.?87

8.824>>0,0> 270.7?8,7>

8.474>22,5: :08.:8>,72

^TB\R^RB\PM @B LM\PM @B M\ HTPÁLR M\ WBK@E@M\ Bk dhsb h cms prbsupub prbsupubstms stms bchdmrh` bchdmrh`ms ms hktbremra hktbremrabktb bktb `b cms trbs bcba bcbabktms bktms `bc lmst lmstmm (Ahtb (Ahtbrehc rehc @erbltm, Ahkm `b Mdrh @erblth y Jhstms Ek`erbltms `b Ghdrelhleük), lmam `bc ekvbkthrem ekelehc y gekhc `b prm`ultms tbraekh`ms, prbphrb bc –^TB\R^RB\PM –^TB\R^RB\P M @B CH ^TM@RLLEÜK WBK@E@H‑ LM\PM @B CH ^TM@RLLEÜK WBK@E@H (8?) @BPHCCB MLPRDTB KMWEBADTB @ELEBADTB ::0.0>> ?5?.27> 8.824.:4> Lmstm `b Ahtbrehc @erbltm Lmksuae`m 404.>>> 4?>.?>> .4>> Lmstm `b Ahkm `b Mdrh @erblth ?.? Lmstms Ek`erbltms `b Ghdrelhleük 8.574.::0,? LM\PM @B ^TM@RLLEÜK A ABBK\RHC 8.? 8.2:08,7> > 025.?87 270.7?8,7> (+) Ekv. Ekelehc ^rm`ultms Pbraekh`ms ?0>> 8.858.?00,0> 0.?7>.240,0> 78.57? 84>.>>> 02.>>>

PMPH JH\PM\ BK WBKPH\

428.4?0

4?4.8:4

>>.-, chs `bprblehleük `b sus hltevms geims pmr  Ds. 8>.>>>.- y cms sbjurms pmr Ds. 42.>>>.-, cms jhstms vhrehdcbs bk rbchleük h chs vbkths tmthcbs sbráhk9 cms veètelms, lmk bc 7%, cms eapubstms, lmk uk %. ^TB\R^RB\PM ^TB\R^RB\P M @B JH\PM\ H@AEKE\PTH H@AEKE\PTHPEWM\ PEWM\ (4>) KMWEBADT @ELE @ELEBA BADT DTBB PT PTEA EAB\ B\PT PTBB @BPHCCB MLPRDTB B ^rbsupubstm `b Wbkths (Dmcevehkms) 4.4.2>> 4.2?8.2>> 4.5>> :.:07.>>>   Weètelms (7% smdrb chs vbkths tmthcbs) 80> 070.:7> Eapubstms (4> 4