chapter # 10 - engineering economy, 7 th editionleland blank and anthony tarquin

7/23/2019 Chapter # 10 - Engineering Economy, 7 th editionLeland Blank and Anthony Tarquin

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Tmauzimgt zm ogj.me.dhc|zor |rmbaontOg`igoorig` Odmgmny! 0zh ojizimg

Aoacgj Bacgf cgj Cgzhmgy Zcrsuig

Dhc|zor 3<

\rmkodz Eigcgdig` cgj Gmg.odmgmnid Czzribuzot

3<'3 Ritf — Zho hi`hor zho ritf! zho hi`hor zho NCRRIgotznogz M||mrzugizy — NCRR ncy bo amporoj emr ‑|oz |rmkodzt„ mr emr dmn|cgy zm

ox|cgj igzm zcr`oz croct'@morgnogz Igzorogzimg — Ncy rotuaz ig hi`hor mr ampor NCRRt! jo|ogjig` mg zho hmp

zho igzorogzimg ceeodzt zho dmn|cgy’t dmn|oziziogottZcx tzrudzuro — Hi`hor zcxot igjudo dmn|cgiot zm rcito zho NCRR cgj ido ortcAinizoj dc|izca — Ainizoj cciacbiaizy me dc|izca rotuazt ig igdroctoj NCRRt ct dmn|cgiot

czzon|z zm jo|amy zho dc|izca nmtz oeeodzioayNcrfoz rczot — hi`hor igzorotz rczot igdrocto zho dmtz me dc|izca! rosuirig` c hi`hor NCRR

3<'2 (c) Osuizy(b) Osuizy(d) Jobz(j) Jobz(o) Osuizy

3<'4 Boemro.zcx NCRR > <'32-(3 — <':<)> <'2< (2</)

3<': (c) Oeeodzio zcx rczo > <'<0 & (<'94)(<'22) > <'20?

Ermn Osuczimg V3<'3^

Boemro.zcx NCRR > <'3?-(3 — <'20?)> <'2<0 (2<'0/)

(b) Bij cnmugz > 0'2 niaaimg-(3 — <'2<0)> *9'<8 niaaimg

3<'? <'29 > cezor.zcx rozurg-(3 — <'42)

Cezor.zcx rozurg > 39'0/

3<'5 RMR nocturo; Toaodz |rmkodzt C cgj O zm zmzca *34 niaaimg' M||mrzugizy dmtz it RMR >2<':/ emr |rmkodz D

\P nocturo; Toaodz |rmkodzt C cgj D zm zmzca *35 niaaimg' M||mrzugizy dmtz it RMR >25'</ emr |rmkodz O



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3<'0 (c) NCRR > PCDD & rosuiroj rozurg > 8/ & :/> 32/

Zho 4/ ritf ecdzmr it dmgtijoroj cezor zho |rmkodz it ocauczoj6 gmz cjjoj zm zho NCRR

(b) Ocauczo zho |rmkodz cgj jozornigo zho RMR' Ie iz it 3?/ cgj Zmn rokodzt zho |rm|mtca!hit NCRR it oeeodzioay 3?/ |or yocr'

3<'8 Zho jobz |mrzimg me *38 niaaimg ro|rotogzt :?/ me zho zmzca'

Zmzca cnmugz me eigcgdig` > 38!<<<!<<<-<':?> *:<!<<<!<<<

3<'9 J.O nix; Jobz > 32 & 2< > *42 niaaimgOsuizy > ? & 3< > *3? niaaimg

/ jobz > 42-(42 & 3?) > 58// osuizy > 3?-:0 > 42/

J.O nix it 58.42

3<'3< (c) Butigott; caa jobz6 J.O > 3<< zm <

Ogìgoorig`; caa jobz6 J.O > 3<< zm <

(b) Butigott; EP > 4<!<<<(E-\!:/!3)> 4<!<<<(3'<:)> *43!2<<

Dhodf it emr *43!2<< zm tzujogz amcg meeido

Ogìgoorig`; EP > 2?!<<<(3) & 2?!<<<(E-\!0/!3)> 2?!<<<(3 & 3'<0)> *?3!0?<

Zpm dhodft; *2?!<<< zm |crogzt cgj *25!0?< zm drojiz ugimg

(d) Butigott; :/

Ogìgoorig`; <'?(</) & <'?(0/) > 4'?/

3<'33 Eirtz Ogìgoorig`; Ercdzimg jobz > 80-30? ≈ ?</

Ercdzimg osuizy > (30?.80)-30? ≈ ?</

Bctidcaay! c ?<.?< J.O nix



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Nijpotz Jooam|nogz; Ercdzimg jobz > (30?.52)-30? > 5:'5/

Ercdzimg osuizy > 52-30? > 4?':/

C||rmxinczoay! c 5?.4? J.O nix

3<'32 Dmn|cgy’t osuizy > ?<(<':<) > *2< niaaimg

Rozurg mg osuizy > ?-2< > <'2? (2?/)

3<'34 Zmzca eigcgdig` > 4 & : & 5 > *34 niaaimg

PCDD > (4-34)(<'3?) & (:-34)(<'<9) & (5-34)(<'<0)> 9':5/

3<'3: (c) PCDD3 > <'?(9/) & <'?(5/) > 0'?/

PCDD2 > <'2(9/) & <'8(8/) > 8'2/

\acg 3 hct c ampor PCDD

(b) Aoz x > dmtz me jobz dc|izca

PCDD3 > 8'2/ > <'?(9/) & <'?xx > 0':/

PCDD2 > 8'2/ > <'2(9/) & <'8xx > 8'</

\acg 3 dmtz me jobz `mot u| ermn 5/ zm 0':/6 \acg 2 ncigzcigt zho tcno dmtz'

3<'3? PCDD > dmtz me jobz dc|izca & dmtz me osuizy dc|izca> (<':)V<'550(8/) & <'444(3</)^ & (<'5)V(<':)(?/) & (<'5)(9/)^> <':V8'550/^ & <'5 V0':/^> 0'9<0/

3<'35 Tmao emr zho dmtz me jobz dc|izca! x

PCDD > 33'3/ > <'0?(0/) & (3. <'0?)(x)x > (33'3 — ?'2?)-<'2?

> 24':/

3<'30 (c) Jozornigo zho cezor.zcx dmtz me jobz dc|izca! Osuczimg V3<':^! cgj PCDD

Cezor.zcx dmtz me jobz dc|izca > 3<(3 . <'45) > 5':/Cezor.zcx PCDD > <'4?(5':/) & <'5?(3:'?/) > 33'55?/



:

Igzorotz dhcr`oj zm rooguo emr zho |rmkodz;

3:'< niaaimg(<'3355?) > *3!544!3<<

(b) Cezor.zcx PCDD > <'2?(3:'?/) & <'0?(5':/)

> 8':2?/

Igzorotz dhcr`oj zm rooguo emr zho |rmkodz;

3:'< niaaimg(<'<8:2?) > *3!309!?<<

Ct nmro cgj nmro dc|izca it bmrrmpoj! zho dmn|cgy ritft hi`hor amcg rczot cgjmpgt aott cgj aott me iztoae' Jobz dc|izca (amcgt) bodmnot nmro ox|ogtio cgjhcrjor zm cdsuiro'

3<'38 Zho ampotz PCDD cauo me 5'0/ mddurt cz zho jobz ercdzimg me <'4 mr *4<!<<< ig amcgt'

Zhit zrcgtaczot igzm eugjig` *0<!<<< ermn zhoir mpg eugjt'

3<'39 (c) Dmn|uzo cgj |amz PCDD emr ocdh J.O nix' Too |amz ig |rmbaon 3<'2< boamp'

J.O nix PCDD3<<.< 3:'?</0<.4< 33'::

5?.4? 3<'?4?<.?< 9'0<4?.5? 9'8:2<.8< 32':8

< . 3<< 32'?<

(b) J.O nix me ?</.?</ hct zho ampotz PCDD cauo'



?

3<'2< (c) Zho t|rocjthooz thmpt c ?</ . ?</ nix zm hco zho ampotz PCDD cz 9'0</'

(b) Nuazi|ay zho jobz rczo (dmaung D) by 3'3 zm cjj zho 3</ (dmaung J) cgj mbtoro zhogop |amz' Gmp jobz me 4?/ (J.O me 4?.5?) hct zho ampotz PCDD > 3<'38/'

3<'23 (c) < > 2!8<<!<<< — 395!<<<(\-C!i+!3<) — 2!8<<!<<<(\-E!i+!3<)

i+ > 0'</ (RCZO eugdzimg mg t|rocjthooz)

Boemro.zcx dmtz me jobz dc|izca it 0'</ |or yocr

(b) Zcx tcig`t > 395!<<<(<'44) > *5:!58<

GDE > 395!<<< . 5:!58< > *343!42<

< > 2!8<<!<<< — (343!42<)(\-C!i+!3<) — 2!8<<!<<<

i+ > :'0/ (RCZO eugdzimg)

Cezor.zcx dmtz me jobz dc|izca it :'0/ |or yocr



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3<'22 (c) < > 39!<<<!<<< — 3!2<<!<<<(\-C!i+!3?) — 2<!<<<!<<<(\-E!i+!3?)

i+ > 5'?4/ (t|rocjthooz)

Boemro.zcx dmtz me jobz dc|izca it 5'?4/ |or yocr

(b) Zcx tcig`t > 3!2<<!<<<(<'29) > *4:8!<<<

GDE > 3!2<<!<<< . 4:8!<<< > *8?2!<<<

< > 39!<<<!<<< — (8?2!<<<)(\-C!i+!3?) — 2<!<<<!<<<

i+ > :'04/ (t|rocjthooz)

Cezor.zcx dmtz me jobz dc|izca it :'04/ |or yocr

3<'24Bmgj igzorotz > <'<5(4!3<<!<<<) > *94!<<< oory 5 nmgzht2Jiijogj toni.cgguca goz dcth eamp > *94!<<<(3 . <'42) > *54!2:<

Zho rczo me rozurg osuczimg |or 5.nmgzht mor 3?(2) toni.cgguca |orimjt it;

< > 4!3<<!<<< — 54!2:<(\-C!i+!4<) — 4!3<<!<<<(\-E!i+!4<)

i+ > 2'<:/ |or 5 nmgzht (t|rocjthooz)

(c) Gmnigca i+-yocr > 2(2'<:) > :'<8/ |or yocr

(b) Oeeodzio i+-yocr > (3'<2<:)2 — 3 > <'<:32 (:'32/ |or yocr)

3<'2: (c) Bcgf amcgCgguca amcg |cynogz > 8<<!<<<(C-\!8/!8)

> 8<<!<<<(<'30:<3)> *349!2<8

\rigdi|ca |cynogz > 8<<!<<<-8 > *3<<!<<<Cgguca igzorotz > 349!2<8 — 3<<!<<< > *49!2<8Zcx tcig` > 49!2<8(<':<) > *3?!584Oeeodzio igzorotz |cynogz > 49!2<8 — 3?!584 > *24!?2?Oeeodzio cgguca |cynogz > 24!?2? & 3<<!<<< > *324!?2?

Zho CP.bctoj i+ roaczimg it;

< > 8<<!<<<(C-\!i+!8) —324!?2?



0

(C-\!i+!8) > 324!?2? > <'3?::38<<!<<<

i+ > :'9?/ (RCZO eugdzimg)

Bmgj ittuoCgguca bmgj jiijogj > 8<<!<<<(<'<5) > *:8!<<<Zcx tcig` > :8!<<<(<':<) > *39!2<<Oeeodzio bmgj jiijogj > :8!<<< — 39!2<< > *28!8<<

Zho CP.bctoj i+ roaczimg it;

< > 8<<!<<<(C-\!i+!3<) . 28!8<< . 8<<!<<<(C-E!i+!3<)

i+ > 4'5</ (RCZO mr IRR eugdzimg)

Bmgj eigcgdig` it dhoc|or'

(b) Boemro zcxot; Bmgjt dmtz 5/ |or yocr! phidh it aott zhcg zho 8/ amcg' Zho cgtporboemro zcxot it zho tcno ct zhcz cezor zcxot'

3<'2? (c) Cgguca amcg |cynogz it zho dmtz me zho *35<!<<< jobz dc|izca' Eirtz! jozornigo zhocezor.zcx dmtz me jobz dc|izca'

Jobz dmtz me dc|izca; boemro.zcx (3.Zo) > 9/(3. <'22) > 0'<2/Cgguca igzorotz 35<!<<<(<'<0<2) > *33!242Cgguca |rigdi|ca ro.|cynogz > 35<!<<<-3? > *3<!550Zmzca cgguca |cynogz > *23!899

(b) Osuizy dmtz me dc|izca; 5'?/ |or yocr mg *:<!<<< it *25<< cggucaay'

Toz u| zho t|rocjthooz pizh zho zhroo toriot' Osuizy rczo it 5'?/! amcg igzorotz rczo it0'<2/! cgj |rigdi|ca ro.|cynogz rczo it 5'?/ tigdo zho cgguca cnmugz piaa gmz ocrgigzorotz cz zho osuizy rczo me 5'?/' Zho jieeorogdo ig \P cauot it;

Jieeorogdo > 2<<!<<< . \P osuizy amtz — \P me amcg igzorotz |cij— \P me amcg |rigdi|ca ro.|cynogz gmz tcoj ct osuizy

> *.25! 935

Zhit nocgt zho \P me zho toaaig` |rido ig zho euzuro nutz bo cz aoctz *25!935 nmrozhcg zho durrogz |urdhcto |rido zm ncfo c |mtizio rozurg mg zho igotznogz!cttunig` caa zho durrogz gunbort roncig tzcbao'

(d) Cezor.zcx PCDD > <'2(5'?/) & <'8(9/)(3.<'22)> 5'935/



8

3<'25 Dmtz me osuizy dc|izca > 3<-(3 . <'<?)(34<)

> 8'3/

3<'20 By Osuczimg V3<'0^

Ro > <'92-24 & <'<42> <'<02 (0'2/)

3<'28 Zho zpm zcx rczot cro zho tcno emr osuizy eigcgdig` bodcuto tzmdf jiijogjt |cij zmtzmdfhmajort cgj mpgort cro gmz zcx jojudzibao aifo igzorotz it emr dmr|mrczo jobz'

3<'29 Ro > <'<42 & 3':3(<'<48)

> <'<8?5 (8'?5/)

3<'4< Jiijogj nozhmj; Ro > <'0?-33'?< & <'<4> <'<9?2 (9'?2/)

DC\N; Ro > <'<?? & 3'4(<'<4)> <'<9: (9':/)

3<'43 Jiijogj nozhmj; Ro > JU3 -\ & `> <'94-38'8< & <'<3?> <'<5:: (5'::/)

DC\N; (Zho rozurg cauot cro ig |ordogzt)Ro > Re & β(R n . Re )

> :'? & 3'39(:'9? — :'?)> ?'<:/

DC\N otzinczo me dmtz me osuizy dc|izca it 3':/ ampor'



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3<'42 Actz yocr DC\N dmn|uzczimg; Ro > :'< & 3'3<(?'3 — :'<)> :'< & 3'23 > ?'23/

Zhit yocr DC\N dmn|uzczimg; Ro > 4'9 & 3'38(?'3 — 4'9)> 4'9 & 3':2 > ?'42/

Osuizy dmtzt tai`hzay nmro ig |crz bodcuto zho dmn|cgy’t tzmdf bodcno nmro macziaobctoj mg cg igdrocto ig bozc' Catm! zho tceo rozurg rczo jodroctoj <'3/ ig zho tpizdh ermn_T zm Ourm bmgjt'

3<'44 (c) Zmzca osuizy cgj jobz eugj it *3? niaaimg'

Osuizy PCDD > rozcigoj ocrgig`t ercdzimg (dmtz) & tzmdf ercdzimg (dmtz)> :-3?(0':/) & 5-3?(:'8/)> 4'894/

Jobz PCDD > ?-3?(9'8/) > 4'250/

PCDD > 4'894 & 4'250 > 0'35/

NCRR > PCDD & :/> 0'35 & :'<> 33'35/

(b) Jobz dc|izca òzt c zcx brocf6 osuizy jmot gmz'

Cezor.zcx dmtz me jobz > 9'8/(3. <'42) > 5'55:/

Cezor.zcx PCDD > osuizy dmtz & jobz dmtz> :-3?(0':/) & 5-3?(:'8/) & ?-3?(5'55:/)> 5'33/

Cezor.zcx NCRR > 5'33 & :'< > 3<'33/

3<'4: C acrò J.O nix mor zino it gmz hocazhy eigcgdicaay bodcuto zhit igjidczot zhcz zho|ortmg mpgt zmm tncaa me c |ordogzcò me hit mr hor mpg cttozt (osuizy mpgorthi|) cgj itritfy emr drojizmrt cgj aogjort' Phog zho odmgmny it ig c ‘zi`hz nmgoy tizuczimg’cjjizimgca dcth cgj jobz dc|izca (amcgt! drojiz dcrjt! ozd') piaa bo hcrj zm mbzcig cgj oryox|ogtio ig zornt me zho igzorotz rczo dhcròj'

3<'4? Ie zho J.O nix me zho |urdhctor it zmm hi`h cezor zho buymuz cgj acrò igzorotz|cynogzt (jobz torido) cro rosuiroj! zho gop dmn|cgy’t drojiz rczig` ncy bo jo`rcjoj'Ig zho oogz zhcz cjjizimgca bmrrmpoj eugjt cro goojoj! iz ncy gmz bo |mttibao zm mbzcigzhon' Cciacbao osuizy eugjt ncy hco zm bo jo|aozoj zm tzcy ceamcz mr `rmp ctdmn|ozizimg dhcaaogòt zho dmnbigoj dmn|cgiot' Tudh oogzt ncy ti`gieidcgzay pocfogzho odmgmnid tzcgjig` me zho dmn|cgy'



3<

3<'45 (c) Eirtz eigj dmtz me osuizy dc|izca utig` DC\N! phidh it zho NCRR

Ro > 4'< & <'9?(?'<) > 0'0?/

Eigj i+ mg osuizy igotznogz me *2?<!<<< cgj GDE me *:8!<<<

< > .2?<!<<< & :8!<<<(\-C! i+!0)

i+ > 8'</ 7 0'0?/

Zho ogzuro it cddo|zcbao

(b) Emr ?</ osuizy eigcgdig` cz 0'0?/ cgj ?</ jobz eigcgdig` cz 8/

PCDD > NCRR > <'?<(0'0?/) & <'?<(8/)> 0'80?/

Zho ogzuro it cddo|zcbao bodcuto 8'</ 7 0'80?/

3<'40 3<</ osuizy eigcgdig`

NCRR > 0'?/ it fgmpg' Jozornigo \P cz zho NCRR

\P > .2?<!<<< & 4<!<<<(\-C!0'?/!3?)> .2?<!<<< & 4<!<<<(8'82032)> .2?<!<<< & 25:!83:> *3:!83:

Tigdo \P 7 <! 3<</ osuizy eigcgdig` noozt zho NCRR rosuironogz

5</.:</ J.O eigcgdig`

Amcg |rigdi|ca > 2?<!<<<(<'5<) > *3?<!<<<Amcg |cynogz > 3?<!<<<(C-\!0/!3?)

> 3?<!<<<(<'3<909)> *35!:59 |or yocr

Dmtz me 5</ jobz dc|izca it 0/ emr zho amcg'

PCDD > <':(0'?/) & <'5(0/) > 0'2/NCRR > 0'2/

Cgguca GDE > |rmkodz GDE . amcg |cynogz> *4<!<<< — 35!:59 > *34!?43

Cnmugz me osuizy igotzoj > 2?<!<<< . 3?<!<<< > *3<<!<<<



33

Dcaduaczo \P cz zho NCRR mg zho bctit me zho dmnnizzoj osuizy dc|izca'

\P > .3<<!<<< & 34!?43(\-C!0'2/!3?)> .3<<!<<< & 34!?43(8'99490)> *23!590

Tigdo \P 7 <6 c 5<.:< J.O nix catm noozt zho NCRR rosuironogz'Dmgdautimg; Bmzh eigcgdig` |acgt ncfo zho |rmkodz odmgmnidcaay czzrcdzio'

3<'48 (c) Eigj dmtz me osuizy dc|izca utig` DC\N'

Ro > :/ & 3'22(?/) > 3<'3/

NCRR > 3<'3/

Eigj i+ mg ?</ osuizy igotznogz'

< > .?!<<<!<<< & 3!4?<!<<<(\-C!i+!?)

i+ > 3<'9/ (RCZO mg t|rocjthooz)

Zho igotznogz it ncr`igcaay cddo|zcbao tigdo i+ 7 NCRR me 3<'3/

(b) Jozornigo PCDD cgj toz NCRR > PCDD' Emr ?</ jobz eigcgdig` cz 8/!

PCDD > NCRR > <'?(8/) & <'?(3<'3/) > 9'<?/

Zho igotznogz it cddo|zcbao! tigdo 3<'9/ 7 NCRR me 9'<?/

3<'49 (c) Dcaduaczo zho zpm PCDD cauot emr eigcgdig` cazorgczio 3 cgj 2

PCDD3 > <':(9/) & <'5(3</) > 9'5/

PCDD2 > <'2?(9/) & <'0?(3<'?/) > 3<'32?/

_to c||rmcdh 3! pizh c J.O nix me :</.5</

(b) Aoz x3 cgj x2 bo zho ncxinun dmtzt me jobz dc|izca emr ocdh |acg! rot|odzioay

Cazorgczio 3; 3</ > PCDD3 > <':(9/) & <'5(x3)

x3 > 3<'50/

Jobz dc|izca dmtz dmuaj igdrocto ermn 3</ zm 3<'50/

Cazorgczio 2; 3</ > PCDD2 > <'2?(9/) & <'0?(x2)



34

3<':3 (c) Tzcg; Tzmdf cauo igdrocto; <'3<(2<!<<<) > *2<<<Osuizy cauo cz yocr.ogj; *22!<<< mr c 3</ igdrocto

Zhorotc; Dmgjm cauo igdrocto; <'3<(3<<!<<<) > *3<!<<<Osuizy cauo cz yocr.ogj; *4<!<<< mr c ?</ igdrocto

(b) Tzcg; Tzmdf cauo jodrocto; .<'3<(2<!<<<) > *.2<<<Osuizy cauo cz yocr.ogj; *38!<<< mr c 3</ igdrocto

Zhorotc; Dmgjm cauo jodrocto; .<'3<(3<<!<<<) > *.3<!<<<Osuizy cauo cz yocr.ogj; *3<!<<< mr c ?</ jodrocto

(d) _gjor hi`h aoorcò tizuczimgt! zho `cig mr amtt it nuazi|aioj by zho aoorcò ecdzmr' Ie zho igotznogz `mot jmpg c tncaa cnmugz! zho hi`h aoorcò amtot nudh nmro zhcgzho ugaoorcòj igotznogz (*2<<< amtt emr Tzcg t' c *3<!<<< amtt emr Zorotc)' Pizh`cigt! zho rozurg mg osuizy dc|izca it nudh acròr emr zho hi`hay aoorcò igotznogz!

buz iz ncy bo nudh nmro ritfy'

3<':2 Pi > 3-8 > <'32?

3<':4 Τti > 5< & :< & 8< & 4< & 2< > 24<

P3 > 5<-24< > <'25P2 > :<-24< > <'30P4 > 8<-24< > <'4?P: > 4<-24< > <'34P? > 2<-24< > <'<9 (Tun it 3'<<)

3<':: T > 3 & 2 & 4 &‥ & 3< > 3<(33)-2 > ??

(c) PD > 4-?? > <'<??

(b) PK > 3<-?? > <'382

3<':? Rczig`t by czzribuzo pizh 3<< emr nmtz in|mrzcgz'Amìd; E > 3<<

_ > ¾ E > ?<T > <'0 _ > <'0(?<) > 4?R > 2T > 2(4?) > 0<

Czzribuzo In|mrzcgdo TdmroE 3<<T 4?_ ?<R 0<

2??



3:

Poi`hzig`! Pi > Tdmro-2??

Czzribuzo Pi E <'49T <'3:

_ <'2<R <'203'<<

3<':5 Rczig`t by czzribuzo pizh 3<< emr nmtz in|mrzcgz'

Am`id; $3 > <'9<($?) > <'9<(3<<) > 9<$2 > <'3<(3<<) > 3<$4 > <'4<(3<<) > 4<$: > 2($4) > 2(4<) > 5<$? > 3<<

$5 > <'8<($:) > <'8<(5<) > :8

Czzribuzo In|mrzcgdo3 92 34 4: 5? 3<5 :'8

44'8

Poi`hzig`! Pi

> Tdmro-44'8

Czzribuzo Pi]]]]]] 3 9-44'8 > <'202 3-44'8 > <'<44 4-44'8 > <'<9: 5-44'8 > <'38? 3<-44'8 > <'4<5 :'8-44'8 > <'3:



3?

3<':0 Dcaduaczo Pi > in|mrzcgdo tdmro-tun cgj tmao emr R k

Uido |rotijogz

Czzribuzo! In|mrzcgdo Uik cauot]]]]

i tdmro Pi 3 2 4]]3 2< <'3< ? 0 3<2 8< <':< :< 2: 324 3<< <'?< ?< 2< 2?

Tun > 2<< 9? ?3 :0 > R k cauot

Toaodz cazorgczio 3 tigdo R3 it acròtz'

Cttitzcgz ido |rotijogz

Czzribuzo! In|mrzcgdo Uik cauot]]]]

i tdmro Pi 3 2 43 3<< <'?< 2? 4? ?<2 8< <':< :< 2: 324 2< <'3< 3< : ?

Tun > 2<< 0? 54 50 > R k cauot

Pizh R3 > 0?! toaodz cazorgczio 3

Rotuazt cro zho tcno! oog zhmu`h zho U\ cgj Cttz' U\ rczoj m||mtizo mg ecdzmrt 3 cgj 4'Hi`h tdmro mg czzribuzo 3 by Cttz' U\ it bcacgdoj by zho U\’t tdmro mg czzribuzot 2 cgj 4'

3<':8 (c) Toaodz C tigdo \PC

it acròr'

(b) Dcaduaczo R k cgj uto ncgcòr tdmrot emr czzribuzot'

Pi > In|mrzcgdo tdmroTun

Czzribuzo! In|mrzcgdo R k]]]]]]] i by ncgcòr Pi C B]]3 8< <':8 <':8 <':42 4? <'23 <'<0 <'234 4< <'38 <'38 <'35: 2< <'32 <'<4 <'32

35? <'05 <'92

Zhoroemro! toaodz B



35

(d) Dcaduaczo R k cgj uto zrcigor tdmrot emr czzribuzot'

Czzribuzo In|mrzcgdo R k]]]]]] i (by zrcigor) Pi C B]]3 8< <'25 <'25 <'24

2 8< <'25 <'<9 <'254 3<< <'42 <'42 <'29: ?< <'35 <'<: <'35

43< <'03 <'9:

Toaodz B

Dmgdautimg; 2 nozhmjt igjidczo B cgj 3! zho \P nozhmj! igjidczot C

3<':9 Cgtpor it (d)

3<'?< Cgtpor it (b)

3<'?3 Cgtpor it (c)

3<'?2 Cgtpor it (b)

3<'?4 Osuizy > :3-03 > ?0'0/Jobz > 4<-03 > :2'4/

Cgtpor it (j)

3<'?: PCDD > ?-3<(34'0) & 2-3<(8'9) & 4-3<(0'8)> 3<'90/

Cgtpor it (d)

3<'?? Boemro.zcx RMR > cezor.zcx RMR-(3. Zo)> 33'2/-(3.<'49)> 38':/

Cgtpor it (d)

3<'?5 Hitzmridca PCDD > <'?(33/) & <'?(9/) > 3</

Aoz x > dmtz me osuizy dc|izca

PCDD > osuizy ercdzimg(dmtz me osuizy) & ercdzimg me jobz(dmtz me jobz)

3</ > <'2?(x) & <'0?V9/(3'2)^



30

x > (3< . 8'3)-<'2? > 0'5/

Cgtpor it (c)

3<'?0 Τti > ?? & :? & 8? & 4< & 5< > 20?

P3 > ??-20? > <'2<

Cgtpor it (b)

3<'?8 T > 3 & 2 & 4 &‥ & 8 > 8(9)-2 > 45

PD > 5-45 > <'355

Cgtpor it (c)



38

Tmauzimg zm Dcto Tzujy! Dhc|zor 3<

Zhoro it gmz capcyt c joeigizio cgtpor zm dcto tzujy oxorditot' Horo cro oxcn|ao rot|mgtot

PHIDH IT BOZZOR . JOBZ ME OS_IZY EIGCGDIG@=

3' Toz NCRR > PCDD

PCDD > (/ osuizy)(dmtz me osuizy) & (/ jobz)(dmtz me jobz)

Osuizy; _to Os' V3<'0^

Ro > <'?< & <'<? > 8'44/3?

Jobz; Igzorotz it zcx jojudzibao6 uto Ost' V3<'?^ cgj V3<'5^'

Zcx tcig`t > igzorotz(zcx rczo)> Vamcg |cynogz — |rigdi|ca |mrzimg^(zcx rczo)

Amcg |cynogz > 0?<!<<<(C-\!8/!3<) > *333!004 |or yocrIgzorotz > 333!004 — 0?!<<< > *45!004

Zcx tcig`t > (45!004)(<'4?) > *32!80<

Dmtz me jobz dc|izca it i+ ermn c \P roaczimg;

< > amcg cnmugz — (cgguca |cynogz cezor zcxot)(\-C!i+!3<)> 0?<!<<< — (333!004 — 32!80<)(\-C!i+!3<)

(\-C!i+!3<) > 0?<!<<< - 98!9<4 > 0'?842

i+ > ?'40/ (RCZO eugdzimg)

\acg C (?<.?<); NCRR > PCDDC > <'?(?'40) & <'?(8'44) > 5'8?/

\acg B (<.3<</); NCRR > PCDDB > 8'44/

2' C; ?<—?< J—O eigcgdig`

_to roaczimgt ig dcto tzujy tzczonogz cgj zho rotuazt ermn Suotzimg $3'

ZI > 4<<!<<< — 45!004 > *254!220Zcxot > 254!220(<'4?) > *92!34<

Cezor.zcx GDE > 4<<!<<< — 0?!<<< — 45!004 — 92!34<> *95!<90

Eigj |acg iC+ ermn CP roaczimg emr *0?<!<<< me osuizy dc|izca



39

< > (dmnnizzoj osuizy dc|izca)(C-\!iC+!g) & T(C-E! iC+!g) & cezor zcx GDE< > .0?<!<<<(C-\!iC+!3<) & 2<<!<<<(C-E!iC+!3<) & 95!<90

iC+ > 0'50/ (RCZO eugdzimg)

Tigdo 0'50/ 7 PCDDC > 5'8?/! |acg C it cddo|zcbao'

B; <—3<< J—O eigcgdig`

_to roaczimgt it zho dcto tzujy tzczonogz

Cezor zcx GDE > 4<<!<<<(3—<'4?) > *39?!<<<

Caa *3'? niaaimg it dmnnizzoj' Eigj iB+

< > .3!?<<!<<<(C-\!iB+!3<) & 2<<!<<<(C-E!iB+!3<) & 39?!<<<

iB+ > 5'53/ (RCZO eugdzimg)

Gmp 5'53/ 1 PCDDB > 8'44/! |acg B it rokodzoj'

Rodmnnogjczimg; Toaodz |acg C pizh ?<.?< eigcgdig`'

4' T|rocjthooz thmpt zho hcrj pcy (jooam|t jobz.roaczoj dcth eampt emr ocdh yocr) cgj zho octypcy (utot dmtzt me dc|izca ermn $3) zm |amz PCDD' Iz it thc|oj jieeorogzay zhcg zho PCDDduro ig Ei`uro 3<.2'

chapter # 10 - engineering economy, 7 th editionleland blank and anthony tarquin

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