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Chapter # 8 - Engineering Economy, 7 th editionLeland Blank and Anthony Tarquin

Feb 11, 2018

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  • 7/23/2019 Chapter # 8 - Engineering Economy, 7 th editionLeland Blank and Anthony Tarquin

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    1

    Uglrpkgmu pg bm`)go)eja~pbx ~xghlbiuBmfkmbbxkmf Begmgi{, 6 pj b`kpkgm

    Lblam` Hlamc am` Ampjgm{ Paxqrkm

    Eja~pbx :Xapb go Xbprxm Amal{uku4 Irlpk~lb Alpbxmapkvbu

    :-1 Pjb xapb go xbprxm gm pjb kmexbibmpal eauj olg eglrim xb~xbubmpu pjb xapb go xbprxm gm pjbkmexbibmp go kmvbupibmp hbp bbm pjb p g alpbxmapkvbu-

    :-8 Pjb alpbxmapkvb pjap ujgrl` hb ublbepb` ku pjb gmb pjap xbqrkxbu pjb lg bx kmkpkal kmvbupibmp-

    :-5 Jb irup kmelr`b pjb okxup am` pjkx` alpbxmapkvbu km am kmexbibmpal amal{uku-

    :-0 *a+ Pjb kmexbibmp go kmvbupibmp hbp bbm pjb alpbxmapkvbu ku lbuu pjam 18"-*h+ Alpbxmapkvb Z ujgrl` hb ublbepb` hbearub pjb XGX gm pjb kmexbibmp go kmvbupibmp ku

    lbuu pjam pjb IAXX-

    :-2 *a+ Pjb XGX gm pjb kmexbibmp ku lbuu pjam pjb IAXX-*h+ Ublbep alpbxmapkvb A-

    :-? Eammgp `bpbxikmb jkej gmb ujgrl` hb ublbepb` hbearub bvbm pjgrfj kp ku cmg m pjap pjbXGX gm pjb kmexbibmp go kmvbupibmp ku lbuu pjam 88" ~bx {bax, kp ku mgp cmg m ko kp ku bqrpg gx fxbapbx pjam pjb egi~am{u IAXX go 1;"- Am kmexbibmpal XGX amal{uku irup hbegm`repb`-

    :-6

    9 8?-8"Gvbxall XGX 9 S>-5>*:>,>>>+ # >-8>*2>,>>>+Y'15>,>>>

    :-: 5>,>>>*>-12+ # *1>>,>>> 5>,>>>+*XGXT8

    XGX

    + 9 1>>,>>>*>-5>+

    T8

    9 -5?0 *5?-0"+

    :-; Gvbxall XGX 9 S1>>,>>>*>-80+ # 5>>,>>>*>-1:+ # 8>>,>>>*>-5>+Y'?>>,>>>9 >-85 *85"+

    :-1> *a+ {bax >4 Kmexbibmpal EO>9 $)?1,>>>9 )65,>>> ) *)18,>>>+

    *h+ [bax 84 Kmexbibmpal g~bxapkmf egup 9 )10,>>> *)86,>>>+ 9 $15,>>>

    Xb)~rxejaub egup 9 > *)18,>>>+ 9 18,>>>

    Kmexbibmpal EO89 $82,>>>9 15,>>> # 18,>>>

  • 7/23/2019 Chapter # 8 - Engineering Economy, 7 th editionLeland Blank and Anthony Tarquin

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    8

    :-11 > )52,>>> );>,>>> )22,>>>

    [bax Z [ [ ) ZWW

    1 )51,?>> )1;,0>> #18,8>>8 )51,?>>)52,>>> )1;,0>> #06,8>>5 )51,?>> )1;,0>> #18,8>>0 )51,?>> )1;,0>>#:,>>>

    )1;?,0>> )12;,?>> #5?,:>>#8>,8>>

    :-18 [bax Alpbxmapkvb Q Alpbxmapkvb ^ Q ) ^WW> ):2,>>> )2>,>>> )52,>>>1 05,>>> 15,0>> 8;,?>>8 05,>>> 15,0>> 8;,?>>5 05,>>> 15,0>>)2>,>>>#5>>> 6?,?>>0 05,>>> 15,0>> 8;,?>>2 05,>>> 15,0>> 8;,?>>? 05,>>>#:,>>> 15,0>>#5,>>> 50,?>>

    Uri 9 #1;0,?>>

    :-15 *a+ [bax 5 EO xb~xbubmpu pjb okxup egup go A ~lru pjb kmexbibmpal `koobxbmeb km pjbkxammral egupu- Lbp A

    hb pjb okxup egup go A-

    Okxup egup go A4 2>>> # *> ) ^A^

    + 9 18,>>>A

    9 $)6>>>

    *h+ Okxup egup go H4 )8>,>>> 9 ^H^

    ) *)6>>>+H

    9 $)86,>>>

    :-10 *a+ )0>,>>> 9 @kbubl) *)12>,>>>+^ @kbubl9 $)1;>,>>>

    *h+ 11,>>> 9 I/G @kbubl) *)01,>>>+I/G @kbubl9 $)5>,>>>

    *e+ 1?,>>> 9 U@kbubl) *#85,>>>+U@kbubl9 $5;,>>>

    :-12 *a+ )10,>>> 9 )?2,>>> ) ^Amg`ktb ^ Amg`ktb 9 $)21,>>>

    *h+ 2>>> 9 ^ E ) *)81,>>>+^ ^E 9 $)1?,>>>

    *e+ 8>>> 9 ?>>> ) UAmg`ktb UAmg`ktb 9 $0>>>

  • 7/23/2019 Chapter # 8 - Engineering Economy, 7 th editionLeland Blank and Anthony Tarquin

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    5

    :-1? *a+ > 9 )0?>> # 11>>*^'A,k ,;+ #8>>>*^'O,k ,1>+

    Uglvb ogx k h{ pxkal am` bxxgx gx u~xba`ujbbp

    k 9 81-;" ~bx {bax *XAPB ormepkgm gm u~xba`ujbbp+

    *h+k 9 81-;" ~bx {bax < IAXX 9 82"3 ublbep Alpbxmapkvb ^5

    :-16 *a+ Pjb kmexbibmpal XGX bqrapkgm ku4

    > 9 ) 66>,>>> # 05,>>>*^'A, k ,8>+ # 66,>>>*^'O,k ,8>+

    Uglvb ogxk h{ pxkal am` bxxgx gx u~xba`ujbbp

    k 9 1-:" ~bx {bax *XAPB ormepkgm gm u~xba`ujbbp+

    *h+ Kmupall pjb pamc am` uexbbm ukmeb 1-:" < IAXX 9 ?"

    :-1: > 9 )02,>>> # 12,>>>*^'A, k ,?+ # 02,>>>*^'O,k ,5+ # ?>>>*^'O,k ,?+

    Uglvb ogx k h{ jam` rukmf pxkal am` bxxgx gx u~xba`ujbbp-

    Jam`4 Px{ k 9 0>"4 ^V 9 )02,>>> # 12,>>>*8-1?:>+ # 02,>>>*>-5?00+ # ?>>>*>-158:+9 $0612 *k pgg lg +

    Px{ k 9 2>"4 ^V 9 )02,>>> # 12,>>>*1-:800+ # 02,>>>*>-8;?5+ # ?>>>*>->:6:+9 $)5660 *k pgg jkfj+

    H{ kmpbx~glapkgm,k 9 02-?" ~bx {bax

    U~xba`ujbbp 4

    H{ KXX ormepkgm,k 9 02-8" ~bx {bax

    Egmelrukgm4 Ukmebk = IAXX 9 81", ublbep pjb okhbx)ki~xbfmapb` xrhhbx alpbxmapkvb-

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    0

    :-1; > 9 )6>>,>>> # ?2,>>>*^'A, k$,8>+*^'A, k$,8>+ 9 1>-6?;8

    Uglvb ogxk$h{ pxkal am` bxxgx gx u~xba`ujbbp

    k 9 ?-:" ~bx {bax *XAPB ormepkgm gm u~xba`ujbbp+k = IAXX go ?" ~bx {bax3 ublbep `bukfm 0X, pjb igxb bz~bmukvb gmb-

    :-8> Vxkpb xapb go xbprxm bqrapkgm ogx kmexbibmp hbp bbm H am` A-

    > 9 )?2,>>> # 82,>>>*^'A, k ,5+*^'A, k ,5+ 9 8-?>>>

    Uglvb ogxk h{ kmpbx~glapkgm km kmpbxbup pahlbu gx u~xba`ujbbp

    k 9 6-2" < IAXX go 8>"3 ublbep a``kpkvb A *u~xba`ujbbp+

    :-81 *a+ Egmupxrep pahrlapkgm pg fbp kmexbibmpal eauj olg -

    KmexbibmpalEauj olg u, $1>>> eauj olg , $1>>>

    [bax P{~b Ob P{~b Al *Al ) Ob+WWW> )12> )8:> )15>1 );8 )60 1:8 );8 # 5> ) 12> )60 15:5 );8 )60 1:0 );8 # 5> )60 # 6> 2:

    > 9 )15> # 1:*^'A, k ,0+ # 18>*^'O,k ,8+ # 0>*^'O,k ,0+

    U~xba`ujbbp4 Bmpbx kmexbibmpal eauj olg u am` rub KXX ormepkgm pg `ku~la{

    k 9 86-5"

    Ukmeb 86-5" = IAXX 9 8>"3 ublbep p{~b Al *u~xba`ujbbp+

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    2

    *h+ am` *e+ ^lgpu axb `bvblg~b` rukmf k amk valrbu- @bekukgm ku pjb uaib pg ublbep Al-

    :-88 > 9 );>>,>>> # AGE*^'A,0>",5+> 9 );>>,>>> # AGE*1-2::;+

    AGE 9 $2??,05>

    Xbqrkxb` xb`repkgm 9 2??,05> 0>>,>>>9 $1??,05> ~bx {bax

    :-85 *a+ > 9 )2?,>>>*A'^,k ,;+ # :;>> # *18,>>> :;>>+*A'O,k ,;+

    Uglvb ogxk h{ pxkal am` bxxgx gx u~xba`ujbbp

    k 9 :-2" < IAXX3 ublbep @x{lge *u~xba`ujbbp+

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    ?

    *h+ Pjb iazkiri IAXX ku k 9 :-2"- Am{ IAXX = :-2" km`keapbu ublbepkgm go @x{lge-

    :-80 _axkahlb u~bb` jau pjb laxfbx kmkpkal kmvbupibmp-

    > 9 )82,>>>*A'^, k ,?+ # 0>>> # 0>,>>>*A'O,k ,?+

    Uglvb ogxk h{ pxkal am` bxxgx gx u~xba`ujbbp

    k 9 81-:" *XAPB ormepkgm++

    k = IAXX 9 1:"3 ublbep vaxkahlb u~bb`, pjb jkfjbx kmvbupibmp alpbxmapkvb

    :-82 Okm` XGX ogx kmexbibmpal eauj olg gvbx LEI go 0 {baxu-

    > 9 )51,>>>*A'^, k ,0+ ) 2>>> # 0>,>>>*^'O,k ,8+*A'^,k ,0+ # 1:,>>>*A'O,k ,0+

    Uglvb ogxk h{ pxkal am` bxxgx gx u~xba`ujbbp

    k 9 :->" *u~xba`ujbbp+

    k < IAXX 9 1:"3 ublbep @HH valvbu

    :-8? *a+ BIP jau a laxfbx kmkpkal kmvbupibmp pjam J^

    > 9 )8>>,>>>*A'^, k ,2+ # 2>,>>> # ?>,>>>*A'O,k ,2+

    Uglvb ogxk h{ pxkal am` bxxgx gx u~xba`ujbbp

    k 9 10-2" *XAPB ormepkgm+k < IAXX3 ublbep j{`xarlke iaejkmb *J^+

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    6

    *h+ Fxa~j go AV go egupu vbxuru k valrbu

    :-86 *a+ Jb rub` gvbxall k valrbu xapjbx pjam kmexbibmpal k valrbu-

    *h+ @bpbxikmbk am` egi~axb pg baej IAXX-

    IAXX 9 5>"4 k 9 82-1" < IAXX3 ublbep A

    IAXX 9 8>"4 k 9 82-1" = IAX X3 ublbep H

    *e+ Xamckmf kmegmukupbme{ geerxu ogx xbvbmrb alpbxmapkvb egi~axkugm jbm pjb IAXX kuubp lg bx pjamk - Ap IAXX 9 8>", pjku geerxu am` A ku kmegxxbepl{ ublbepb` ko gvbxall XGX valrbu axb rub` au pjb hauku go ublbepkgm-

    :-8: @g)mgpjkmf alpbxmapkvb-

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    :

    :-8; Xbvbmrb alpbxmapkvbu3 ealerlapb gvbxall XGX okxup am` egi~axb pg IAXX 91>"-

    k00 9 0-8" *blkikmapb+k22 9 ?->" *blkikmapb+k:: 9 1>-6" *xbpakm+

    Xamc xbiakmkmf alpbxmapkvb h{ kmexbaukmf kmkpkal kmvbupibmp4 @M, ::

    @M vu ::4 > 9 )?1,>>> # 62>>*^'A, k ,8>+*^'A, k ,8>+ 9 :-1555

    Uglvb ogxk h{ pxkal am` bxxgx gx u~xba`ujbbp

    k 9 1>-6" ~bx {bax *XAPB ormepkgm+

    k = IAXX 9 1>"3 ublbep :: Ih~u

    :-5> Xbvbmrb alpbxmapkvbu3 ealerlapb gvbxall XGX okxup am` egi~axb pg IAXX 912"- Pjbm xamc xbiakmkmf alpbxmapkvbu aeegx`kmf pg kmexbaukmf kmkpkal kmvbupibmp *kmelr`kmf @M+ am`egi~axb kmexbibmpall{- XGX valrbu `bpbxikmb` h{ XAPB ormepkgm-

    kkFbm)1 9 )18-?" *blkikmapb+kkFbm)8 9 )8-6" *blkikmapb+kkFbm)5 9 0-5" *blkikmapb+kkFbm)0 9 16-:" *xbpakm+

    kFbm)0 vu @M4 > 9 )62>,>>> # 51>,>>>*^'A,k ,5+ # 18>,>>>*^'O,k ,5+

    k 916-:"3 ublbep kFbm)0

    :-51 Egup alpbxmapkvbu- Xamc alpbxmapkvbu aeegx`kmf pg kmexbaukmf kmkpkal kmvbupibmp am` egi~kmexbibmpall{4 8, 1, 5, 2, 0-k valrbu `bpbxikmb` h{ XAPB ormepkgm gm a u~xba`ujbbp-

    1 vu 84 > 9 )8>>> # 55>>*^'A, k ,0+k 9 1?1"3 blkikmapb 8

    5 vu 14 > 9 )52>> ) 1>>>*^'A, k ,0+k < >"3 blkikmapb 5

    2 vu 14 > 9 )1>,>>> # 2>>*^'A, k ,0+k < >"3 blkikmapb 2

    0 vu 14 > 9 )1:,>>> # 5:>>*^'A, k ,0+k 9 )?-0"3 blkikmapb 0

    Ublbep iaejkmb 1

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    ;

    :-58 Xamc alpbxmapkvbu aeegx`kmf pg kmexbaukmf kmkpkal kmvbupibmp *kmelr`kmf @M+ am`egi~axb kmexbibmpall{4 @M, @, A, E, B, H

    *a+ @M vu @4k 9 11" < IAXX blkikmapb @@M vu A4k 9 1>" < IAXX blkikmapb A

    @M vu E4k 9 6" < IAXX blkikmapb E@M vu B4k 9 18" = IAXX blkikmapb @MB vu H4k 9 12" = IAXX blkikmapb B

    Pjbxbogxb, ublbep H

    *h+ @M vu @4k 9 11" < IAXX blkikmapb @@M vu A4k 9 1>" < IAXX blkikmapb A@M vu E4k 9 6" < IAXX blkikmapb E@M vu B4k 9 18" < IAXX blkikmapb B@M vu H4k 9 15" < IAXX blkikmapb H

    Pjbxbogxb, ublbep @M

    :-55 *a+ Mgmb javb am gvbxall XGX pg IAXX3 u blbep @g)mgpjkmf

    *h+ Xbpakm H, @ am` B ukmeb pjbkx gvbxall XGX = IAXX

    H vu- @ 9 5:-2"3 blkikmapb H

    @ vu- B 9 ?-:"3 blkikmapb B

    Pjbxbogxb, ublbep @

    *e+ Ublbep H, @, am` B

    :-50 Xamckmf4 @M, @, A, E, B, H- Rubk 9A'^ au pjb kmexbibmpal ibaurxb3 IAXX ku 10-;"-

    @ vu- @M4k 9 1?-6"3 blkikmapb @M, cbb~ @

    A vu- @4 k 9 2>>'0>>> 9 18-0"3 blkikmapb A, cbb~ @

    E vu- @4 k 9 ;>>'?>>> 9 12"3 blkikmapb @, cbb~ E

    B vu- E4 k 9 :>>'6>>> 9 11-0"3 blkikmapb B, cbb~ E

    H vu- E4 k 9 81>>'10,>>> 9 12"3 blkikmapb E, cbb~ H

    Ublbep H

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    1>

    :-52 *a+ Xamc alpbxmapkvbu4 B,@,E,H,A3 blkikmapb B,@ am` A hbearub gvbxall XGX < IAXX

    E vu- H4k 9 10"3 blkikmapb H3 ublbep alpbxmapkvb E

    *h+ Xamc alpbxmapkvbu4 B,@,E,H,A3 blkikmapb B hbearub gvbxall XGX < IAXX

    E vu- @4k 9 52", blkikmapb @H vu- E4k 9 10", blkikmapb EA vu- H4k 9 18", blkikmapb H *Mgpb pjapk bzaepl{ bqralu IAXX+

    Ublbep alpbxmapkvb A

    :-5? Gml{ iaejkmbu 8 am` 5 javb gvbxall XGX fxbapbx pjam 88"- Kmexbibmp hbp bbm 8 am` 5*5)pg)8 egi~axkugm+ ku mgp drupkokb`3 ublbep iaejkmb 8-

    :-56 *a+ Ublbep ~xgdbepu A am` H

    *h+ Irup `g kmexbibmpal amal{uku hbp bbm A am` H rukmfk 9A'^

    A vu- H4k 9 *6>>'1>,>>>+ 9 6" ~bx {bax

    k < IAXX 9 6-2"3 blkikmapb A, ublbep ~xgdbep H

    :-5: Amu bx ku *h+

    :-5; Amu bx ku *`+

    :-0> Amu bx ku *h+

    :-01 Amu bx ku *`+-

    :-08 Amu bx ku *e+

    :-05 [bax A H H ) A > )1>,>>> )10,>>> )0>>>1 #82>> #0>>> #12>>8 #82>> #0>>> #12>>5 #82>> #0>>> #12>>0 #82>> #0>>> #12>>2 #82>> #0>>> #12>>

    Uri 9 #52>>Amu bx ku *h+

    :-00 Amu bx ku *a+

    :-02 Amu bx ku *h+

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    :-0? Amu bx ku *e+

    :-06 Amu bx ku *e+

    :-0: Amu bx ku *e+

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    18

    Uglrpkgm pg Eaub Upr`kbu, Eja~pbx :

    Ugibpkibu, pjbxb ku mgp a `bokmkpkvb amu bx pg a eaub upr`{ bzbxekub- Jbxb axb bzai~lb xbu~gmubu-

    XGX AMAL[UKU VKPJ BUPKIAPB@ LK_BU PJAP _AX[

    1- ^V ap 18" ku ujg m km xg 8;- Ublbep ubxvbx %8 *m 9 :+ kpj pjb laxfbup V valrb-

    8- %1 *m 9 5+ ku blkikmapb`- Kp jau k < IAXX 9 18"- ^bxogxi am kmexbibmpal amal{uku go %1 *m9 0+ am` %8 *m 9 2+- Eglrim J ujg u k 9 1;-2"- Mg ~bxogxi am kmexbibmpal egi~axkugmgo %8 ogx m 9 2 am` m 9 :- Pjku ku mgp mbebuuax{ ukmeb mg bzpxa kmvbupibmp ku mbebuuax{ pgbz~am` eauj olg h{ pjxbb {baxu- Pjb k ku kmokmkp{- Kp ku ghvkgru4 ublbep %8 *m 9 :+-

    5- ^V ap 8>>>" = $>->2- k ku kmokmkp{, au ujg m km ebll C02, jbxb am bxxgx ogx KXX*C04C00+ku km`keapb`-

    Ugib xgvu jk``bm

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    15

    Uglrpkgm pg Eaub Upr`kbu, Eja~pbx :

    Ugibpkibu, pjbxb ku mgp a `bokmkpkvb amu bx pg a eaub upr`{ bzbxekub- Jbxb axb bzai~lb xbu~gmubu-

    JGV A MBV BMFKMBBXKMF FXA@RAPB EAM JBL^ JKU OAPJBX

    1- Eauj olg u ogx baej g~pkgm axb uriiaxktb` ap pg~ go pjb u~xba`ujbbp- Xg u ;)1; ujg ammralbupkiapbu ogx g~pkgmu km kmexbaukmf gx`bx go kmkpkal kmvbupibmp4 5, 8, 1, 0, 2-

    8- Irlpk~lb k valrbu4 Gml{ ogx g~pkgm %83 pjbxb axb 5 ukfm ejamfbu km eauj olg am` erirlapkvbeauj olg ubxkbu- Mg valrbu gpjbx pjam 1>-1" axb ogrm` km pjb > pg 1>>" xamfb-

    5- @g kmexbibmpal XGX amal{uku aopbx xbigvkmf %1 am` %8- Ubb xg 88- 0)pg)5 egi~axkugm{kbl`u 0;-;", 2)pg)0 jau mg xbprxm hbearub all kmexbibmpal eauj olg u axb > gxmbfapkvb- ^V ap 82" ku $6:2 ogx %0, jkej ku pjb laxfbup ^V- A ku alug pjb laxfbup ogx %0-

    Egmelrukgm4 Ublbep g~pkgm %0 pxa`b)grp kpj oxkbm`-

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    10

    0- ^V vu- k ejaxpu ogx all 2 g~pkgmu axb gm pjb u~xba`ujbbp-

    G~pkgmu A~~xgzkiapbegi~axb` hxbacbvbmWWWW

    1 am` 8 8?"5 am` 2 868 am` 2 5:1 am` 2 085 am` 0 2>

    2- Ogxeb pjb hxbacbvbm xapb go xbprxm hbp bbm g~pkgmu %0am` %5 pg hb bqral pg IAXX 9 82"- Rub pxkal am` bxxgxgx Fgal Ubbc kpj a paxfbp ebll go F88 pg bqral 82" am`ejamfkmf ebll go E? *pbi~lapb ap xkfjp+- Iacb pjb valrbukm {baxu 2 pjxgrfj : go g~pkgm %5 bqral pg pjb valrb kmebll E?, ug pjb{ xbolbep pjb ejamfbu- Pjb amu bx ghpakmb`ujgrl` hb ahgrp $1>;>, jkej ku aeprall{ $1,>;>,>>> ogxbaej go 0 {baxu-

    Xbqrkxb` ikmkiri ubllkmf ~xkeb ku 0*1>;>,>>>+ 9 $0-5?ikllkgm egi~axb` pg pjb erxxbmp a~~xakub` valrb go $8

    ikllkgm-