Solucionario Ejercicios 3 de Ingeniería Económica

 

 

[`bukm`jgrm` Fhfrkmkm`s ; lf Mjafjmfrîg Fk`jûnmkg Gpfbbml`s 8 ………………………..……………….  J`norfs 8 …………………………………………….  Dfkeg8 9;/96/?9?9

[fkkmûj 8 \`lgs. Gsmajgturg 8 Mjafjmfrîg Fk`jûnmkg. L`kfjtf 8 Aumbbfrn` Ogy`jg K. K.  

Mjstrukkm`jfs8 mjlmkgkm`jfs jfkfsgrmgs quf lfofrç tfjfr fj kufjtg fb fstulmgjtf pgrg fb lfsgrr`bb` lf bg fvgbugkmûj.

7 .-  Kmsk` [ystfns fspfrg vfjtgs quf sf lfskrmofj fj bg sfkufjkmg lf dbuh` lf fdfktmv` lglg p`r (4 999 + 6c), fj bg quf c fstç fxprfsglg fj g÷`s y fb dbuh` lf fdfktmv` fj nmbb`jfs. Lftfrnmjf g) fb vgb`r lfb arglmfjtf A, o) fb n`jt` lf dbuh` lf fdfktmv` fj fb g÷` 4 y k) fb vgb`r lf j pgrg fb arglmfjtf sm fb dbuh` lf fdfktmv` tfrnmjg fj fb g÷` 7?. [`bukmûj8 Bufa` lfb kçbkub` lfb prmnfr y øbtmn` dbuh` y lf bg rfnujfrgkmûj lf b`s pfrm`l`s sf puflf lftfrnmjgr b` s`bmkmtgl`8 Lfb arçdmk` j>c+7 g) Vsgjl` bg rfbgkmûj8 KDj>Kgjtmlgl Ogsf+(j-7) A↟A>(KDj-KOgsf) /(j-7) A>4949-4999/ (7;-7) >49/7?>6 Nmbb`jfs3 A>6 o) G÷` 4 (c>4) sf lg kugjl` j>1 KD1>KOgsf+(j-7) A ↟ KD1>4999+(1-7)*6 ↟ KD1>4999+;9>49;9 3 KD1>49;9

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k) j>c+7, [m c>7? ↟ j>7;. ?.- Vjg k`npg÷îg dgrngkíutmkg mnp`rtgjtf pr`j`stmkg quf fj b`s g÷`s p`r vfjmr p`lrîg vfrsf mjv`bukrglg fj bmtmam`s rfbgkm`jgl`s k`j b`s fdfkt`s k`bgtfrgbfs quf sf pfrkmofj fj uj` lf sus nflmkgnfjt`s gjtmlfprfsmv`s. G dmj lf prfpgrgr d`jl`s lfstmjgl`s fspfkmgbnfjtf pgrg fst`, bg fnprfsg qumfrf tfjfr lmjfr` lmsp`jmobf lfjtr` lf sfms g÷`s, quf e`y tmfjf uj vgb`r prfsfjtf lf $69 999 999. Bg k`npg÷îg fspfrg rfsfrvgr $4 999 999 fb prmnfr g÷` f mjkrfnfjtgr fstg kmdrg lf ngjfrg ujmd`rnf fj kglg uj` lf b`s kmjk` g÷`s smaumfjtfs. [m bg fnprfsg fspfrg `otfjfr 7?% gjugb s`orf fb lmjfr` quf rfsfrvf, °kuçjt` lfof mjkrfnfjtgr kglg g÷` bg kgjtmlgl rfsfrvglg g dmj lf gbkgjzgr su `ohftmv`0

 

 

[`bukmûj8 Lf gkufrl` gb arçdmk`8 j>43 m>7?%, G>4 (Fj Nmbb`jfs)3 Yt>69(Fj Nmbb`jfs) Yt>Yg+Ya…. (7)3 Yg>G (Y/G, m, j) … (?)3 Ya>A (Y/A, m, j) … (;) _ffnpbgzgjl` (?) y (;) fj (7)8

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Yt> G (Y/G, m, j) + A (Y/A, m, j) Lfspfagjl` A8 A> SYt-G (Y/G, m, j)^/ (Y/A, m, j) … ((Ya+69) (Y/D,79%,7) …. (7)  Ya>G7(Y/G, a, m, j) >49(4.5667) > (Yt(G/Y,79%,6)>779.4; G>$7794;9

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6% G?8 G?>G7(7+a) m>76% gjugb Lgt`s8 j>63 m>76%3 a>6%3 a >6%3 Yt>=99nmb Fj ujg arglmfjtf af`nítrmkg sf 9 7 ? ; < 6 kunpbf quf8 Yt>G7(Y/G, a, m, j) G7>Yt/ (Y/G, a, m, j) G7 G? Yfr`8 (Y/G3 a%, m%, j) >S7-S(7+a)/(7+m)^ Zj^/(m-a) _ffnpbgzgjl`8 a>6%3 m>76%, j>6 (Y/G,6%,76%,6)) >;.46=99/ (;.46????65.65 Fb k`st` lf bg tfbg fb g÷` ? fs $?65659.

6.- Vjg fnprfsg lf k`jsubt`rîg fj mjafjmfrîg quf k`tmzg fj bg o`bsg pgag uj o`j` g kglg mjafjmfr` gb dmjgb lfb g÷` k`j ogsf fj bg utmbmlgl quf sf `otmfjf lurgjtf fsf pfrm`l`. [m bg mjvfrsmûj mjmkmgb lf bg k`npg÷îg duf lf $7 ?99 999, °quí tgsg lf rfjlmnmfjt` eg `otfjml` s`orf su mjvfrsmûj sm fb o`j` lf kglg mjafjmfr` eg sml` lf $; 999 p`r kglg uj` lf b`s 79 øbtmn`s g÷`s0 [up`jag quf bg fnprfsg tmfjf sfms mjafjmfr`s y quf fb o`j` n`jftgrm` rfprfsfjtg 6% lf bg utmbmlgl lf bg k`npg÷îg. [`bukmûj8 m>00 O`j` >%6Vtmbmlgl Vtmbmlgl>O`j`/6% Vtmbmlgl Vtmbmlgl>$;999x4/6%>;49999 9 7 ? = Fj fb argdmk` sf lftfrnmjg bg fqumvgbfjkmg k`j fb dgkt`r Y/G Y>G(Y/G,m,j) G>Vtmbmlgl>$;499993 G>Vtmbmlgl>$;4999 93 j>79 g÷`s Y>$7”?99999 7?99999 m, tgsg gjugb fdfktmvg. _ffnpbgzgjl` vgb`rfs8 7?99>;49(Y/G,m,79) ↟Dgkt`r (Y/G,m,79)>;.;;;; (Y/G,m,79)>;.;;;;

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  Ouskgjl` fj tgobgs Y/G y j>7 j>79 9 sf tmfjf quf8 ?6%-------------;.6196 m -----------------;.;;;; -----------------;.;;;; ;9%-------------;.9=76 [f mjtfrp`bg b`s vgb`rfs lf tgb d`rng quf8 (m-?6%)/(;9%-?6%)>(;.;;;;-;.6196)/(;.9=76-;.6196) Lfspfhgjl` m>?6+?.?1.?6+?.?1.?1.69

G>9 3 Yt>Y ↟Y>G7(Y/G,m,6)3Yt>G?(Y/G,m,6)+Ya G7(Y/G,m,6)> G?(Y/G,m,6)+Ya A(Y/A,m,6)>(G7-G?)(Y/G,M,6) (Y/A,m,6)/(Y/G,m,6)>(7.4 Ouskgn`s fj \gobgs pgrg quf vgb`r lf M sf kunpbf bg maugblgl. ???+9.61=5>??.61% ??%---------7.495= m>??.61% gjugb 5.- Vjg fnprfsg pr`lukt`rg lf vçbvubgs lf k`jtr`b lf pbçstmk` tmfjf uj d`jl` lf $699 999 pgrg rffnpbgz` lf fqump`. [m bg k`npg÷îg agstg $16 999 p`r g÷` fj fqump` jufv`, °kuçjt`s g÷`s t`ngrç rflukmr fb d`jl` g nfj`s lf $16 999 k`j ujg tgsg lf mjtfrís lf 79% gjugb0 [`bukmûj8 699-16>