engineering economics
DESCRIPTION
course of engineeirn economics in persianTRANSCRIPT
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4.............................................................................................................
4.................................................................................................................... 4..............................................................................................................
5.................................................................................................................. 5..................................................................................................................... 6............................................................................................. 7..................................................................................................... 7.................................................................................................................... 8............................................................................................................................
9............................................................................................................. 01.................................................................................................................... 01..............................................................................................................EP 11.........................................................................................................................
21.................................................................................... 41................................................................................... 61..................................................................................
81...................................................................................................... 81.............................................................................................................. 12...................................................................................................................
22............................................................................................................. 22.......................................................................................................
42............................................................................................................. 42................................................................................ 42......................................................................................................
52................................................................................................................ 52...........................................................................................................
92................................................................................................................... 92..................................................................................................... 03......................................................................................................
03.......................................................................................................... 03...........................................................................................................
03..................................................................................................... 03...............................................................................
13......................................................................... 23..................................................................................
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23........................................................................................................ 33...............................................................................................
43........................................................................................................ 43...............................................................................................................
43.............................................................................................. 63........................................................................................................F P
93......................................................................................... 24.......................................................................................................
24.................................................................................................... 44......................................................................................................
64......................................................................................................... 74.................................................................................................
74................................................................................................... 05................................................................................
05......................................................................................... 05..................................................................................................
45...........................................................BAUE , CAUE ( ) 95..........................................................................
06............................................................................................ 56...................................................................................................
66............................................................................................ 96......................................................................................................................
96................................................................................................. 96............................................................................................................
96............................................................................................ 37................................................................................................
57............................................................... 57..................................................................................................................)XT(
57.................................................. 97.................................................................
08......................................................................................... 28..............................................................................................................
38....................................................................... 58..............................................................................................................
68...................................................................................................... 39...........................................................................................................................
39................................................................................................. 39.......................................................................................................
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201..........................................................................................................)f( 401............................................................( )
401...............................................................................................fi 401...................................................................................................
801.............................................................................................................
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latipaC robaL dnaL tnemeganaM ygolonhceT sdooG secivreS
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eP NM = xx = xO xO eP LK = xx = xO xO
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yticitsalE dnameD fo yticitsalE ecirP
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PPEx
x
% 21 % 1 .
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((.)): xp
pdx Epxd
x = xx
6=xp p001-008 =x x : .
px ==
=== ((.))
xp
pdx Exd
x
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:
2=xp 3 + xp - 2 xp2=x x .
px=
X=+=
x = x
ppd xd
xpp
xp
pdxxx Epxd
x () == xx
xpx == ()
x :
. xpx =+ 3
. n :
yc+ipb+npa =nX
:
= Y
.
Ep xx=== ()
.
===
=+=+=+==
xp
pdEpxd
pxpxxppx
x
xxx
xxxx
-
n = nP
i = iP
= C
. 001= y 4= ip 1,0=c 5,0=b 2- =a
. (
. (
(.)(.)
=+=++=+
nn
nnn
Xp Xpp
: )RT( 61
X.xP=RT
: )RA(71
xP xXPX
X === RART
euneveR latoT euneveR egarevA
np
nx
o
-
RT : )RM(81
Xd = RMRTd
( 1. 01 . 2x2+x5-001=xP :
. ( 3 ( 2
()
.
xxxxxxdd
xdRMRTd
RTRTPX
P
x
x
xx
==+====
==+=+=
=
=
. 0>RM . 0
-
RM = CM
x4-001= xP :
. x02+05 = CT .
RM = CM =xd/CTd= CM x-x = x.xP = RT x- =xd/RTd = RM =xp =x =x-
. x-02=xP : . 2 + x8 + 2x = CT
.a . .b . .c
-X + X- = )+X+X( -X)X-( =CT -X.xP = CT RT = =
: =X =+X- =Xd/d =-=X-=xP =-+=-x+x-= =)(=X.P=RT =+* + =CT
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oititepmoC tcefreP
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= X = c,b,a . :
.
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. A : A
.
01 2 02 3 53 4 04 5 34 6 54 7 44 8 04 9
noitcnuF noitcudorP tcudorP lacisyhP lanigraM gnihsinimiD fo waL ehT
-
53 01
: 62 ( ) .
)( f = d/xd =PPM =PM
: .
)(f = x =PT
: .
/)(f = /x =PA
tcudorp lacisyhp lanigraM
X
05
04
03
02
01
1 2 3 4 5 6 7 8 9 01
l
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( A :
A .
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(
: ... .
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. 92 82
.
. .
. .
)x(f + K = C CVT XFT CT
23 13
X/)x(f + X/K = X/C CVA XFA CA
)x(g )x(f = CT RT =
. = )x( g )x( f =xd / D )x(g = )x(f
: CM=RM
tsoC latoT = CT tsoC dexiF latoT = XFT tsoC elbairaV latoT = XVT tsoC egarevA = CA tsoC dexiF egarevA = XFA tsoC elbairaV egarevA = XVA
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%( 4 % 5 )06 - % ( 5/5 % 0) -
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0521 0001 0001 0521
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8/5 00003( ) :
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()
51 05592 09132 02 05062 02523 52 57142 52524 03 57032 09635
.
=
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42 6261 % 6 42 : .
6261 42 6761 80244 6271 423418
6771 29999941 6281 961203672
6781 6758259805 6291 11510994739
6791 8348467886271
000001 A : . . 000601
= -
= 000601 -000001 = 0006
=
% = =
. % 5 000002 B : .
= 000002%(*5= )00001 = 000002+00001=000012
*001
-
. = (*1+ )
= 000002(*1%+5= )000012
.
. 011 % 01 001
.
33
ROR( = - / ) = /
. ROR .
.
( P )43 -1
(F )53 -2
)ROR( nruteR fo etaR htroW tneserP htroW erutuF
-
(A )63 -3
(i )73( ) -4
(n )83 -5
+
.
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tsoC launnA mrofinU etaR tseretnI doireP tseretnI fO rebmuN
n
1 2 3 1-n n
-
005 4 0001 :. % 01 .
.
F P
=+=+ FPiPPi ()
=+=++=+ FFiPiiPi ()() ) ( ) ( =+ FFFi
=+ FPi ()
n =+=+ () FFiPi nnn ) (
() PFIn =+ )() FPin
=+ )
0001=P
%01 =i
005=A
4 3 2 1 0
005=A 005=A 005=A
4 =n %01 =i ? =F
?=F
-
. n)i+1( ( . n)i+1( / 1 (
A P .
)()n (()
n
ii+ PAi
=+()
+ (()n =+
n
I APII
A F
(()) iFAi
) =+ n()
in =+ ( AFi
?=P
A
03 n -1 n 2 1
A A A A
=i
P
F
n
-1 n -2 n 2 1 0
=i
-
)n , %i , Y / X(
:
= ) , ,P/F(
.
:
?= )01 , %7/3 ,P/A( 0/4241 = 0/83241 = )01 , %7 ,P/A( 0/0941 = 0/30941 = )01 , %8 ,P/A(
? = c 0/3 = 7 7/3 = a d / b = c / a 0/4241 0/0941 = d 1 = 7 8 = b 0/6600 = 0/83441 = 0/89100 + 0/4241 = X 0/89100 = c
b c a
d
%7
%7/3
%8
0/4241
?=X
0/0941
-
p F )n , %i , F/P( )n, %i, F/P(F=P F P )n , %i , P/F( )n, %i, P/F(P=F P A )n , %i , A/P( )n, %i, A/P(A=P A P )n , %i , P/A( )n, %i, P/A(P=A A F )n , %i , F/A( )n, %i, F/A(F=A F A )n , %i , A/F( )n, %i, A/F(A=F
. % 5 : 00005 51 .
. . 000,000,1 51
:
)n ,%i ,F/A(F =A 0098701 =) 12/875 (00005 = )51 , %5 ,A/F(00005 = )n ,%i ,A/F(A =F
. ( )
51 41 31 21 11 01 9 8 7 6 5 4 3 2 1 0%5 =i
00005=A
000,000,1=F
-
. % 51 :
:
AP + AP= TP )2, %51 ,F/P( )3, %51 ,A/P(AP = )2, %51 ,F/P('AP =AP 1/627 =) 0/657 ( ) 2/382 ( 0001 = )8, %51 ,F/P( )5, %51 ,A/P(A = )8, %51 ,F/P( 'AP =AP 1/446 =) 0/723 ( ) 3/253 (0051 = 3/073 = 1/446 + 1/627 =TP
?='AP
31 21 11 01 9 8 7 6 5 4 3 2 1
0051=A 0001 =A
= TP
31 21 11 01 9 8 7 6 5 4 3 2 1
%51 =i
0051=A 0001 =A
?=TP
?='AP
AP
AP
-
: x . 10 % .
:
PT = P+ P +P 100000 = x(P/A, 10% ,3) + 2x(P/A, 10% ,3)(P/F, 10% ,3) + 3x(P/A, 10% ,4)(P/F, 10% , 6 ) 100000 = x ( ) +X( )( )+X( )( ) X=
1 2 3 4 5 6 7 8 9 10
PT=100,000
0
x x x
x x x
x x x x
i=
P P P
100,000
x x x
x x x
x x x x
1 2 3 4 5 6 7 8 9 10
-
( )
.
:
P G
(/,,%)()()
()
PGPGini
nii
iinn PG
n
=
++
=+
A G
(,,%)()
AGAGinin
in AG
=
=++
5
521 051
571 002
522
052
4 3 2 1 0
52=G
6 7
001
-
. % 5 . :
.
5
007 006 009 008
0001 0011
4 3 2 1 0
? = TP
7 6
005
0031 0021 0041
01 9 8
5
005=A
4 3 2 1 0
? = AP
01 9 8 7 6
(1)
-
. : .
GP + AP = TP )01, %5 , G/P( 001 + )01 , %5 ,A/ P( 005 = TP 6207/50 =) 13/526 (001+) 7/7127 ( 005 = TP
.
n , ... , 2 = t )j + 1(-tA = tA
-
n 1-n 3 2 1 0
A A
-nA nA
A
002 001 005 004
006
? = GP
008 007 009
01 9 8 7 6 4 3 2 1 0 5
(2)
001=G 003
-
= i = j = t
t = tA = 1A
ijij
PAji
AAjtnnn
tt
=++=+=
()()
(),...,
iji
() =+= PAn ()
= PAPAijn (,,,)
. j # i 0 = j 0 > j
jijij
PAFPjnPFin (,,(),,) =
. % 8 : 5
00005 % 01 . . .
00005 =A
5 = n %01 = i %8 = j
)5 , %8 , %01 ,A/P( A = P
551912 = ) 4/1383 (00005 = P
. % 01
..
%
=+== ==
iPAn
ij
-
.
%1*21% = 21 % 1 :
.
1 t)t/r + 1( =ei
ei =
r =
t = 14
. % 1 :
%21 * %1 = r
21/86 = 1 21)21 / %21 + 1 ( = ei
00003 00001 : % 6 00051
01 .
etaR tseretnI evitceffE etaR detseretnI lanimoN sdoireP gnidnuopmoC fO rebmuN
0 1 2 3 4 5 6 7 8 9 01
00001
00003
00051
? =F
-
%6/90 = 0/9060 = 1 - 2 )2/ 0/60 + 1( = ei
)4 , %6/90 ,P/F(00051 + ) 6 , %6/90 ,P/F(00003 + )01, %6/90 ,P/F(00001 = F
97/738 =
. .
:
% 21 .
. % 1
% 21
=+ t
t e ir
.
.
nt)t/r +( P = F
gnidnuopmoC suounitnoC
n 3 2 1
-
= r
= t
. = n
n.reP= nt)t/r +( mil P =F
t
2/82817 = e n.reP = F )n ,r ,P/F(P = F
nr eF = P
)n ,r ,F/P(F = P
1 - re=ei.
% 21 00001 : . 51
%1 = 21 / %21
081 = 51 * 21
? = )081 , %1 ,A/F(00001 = )081, %1 ,A/F(A = F
%21/86 =1 21)21/ %21 + 1( = t)t/r+( = eI
)51 ,ei ,A/F(A = F
000,01*21/86 =
-
( % )21 000002 : ( . ) 5
)5 , %21 ,P/F(P =F
024463 = ) 1/1228 (000002 =F
-
34 -1
44 -2
-3
54 -4
-5
.
. " "
.
WPN " " .
0WPN
. WP
. :
. %01 RRAM . B A :
dohteM htroW tneserP )tifeneB( tsoC launnA mrofinU tnelaviuqE 44 dohteM tsoC ot tifeneB
-
A B
0052 0053
009 007
002 053
5 5
8875 = )5 , %01 ,F/P( 002 ) 5 , %01 ,A/P( 009 + 0052 = AWP
6395 = ) 5 , %01 ,F/P( 053 - ) 5 , %01 ,A/P( 007 + 0053 = BWP
. A
:
. .
.
. . : % 51 .
A B
00011 00081
0053 0013
0001 0002
6 9
-
. 81 6 9
)21 , %51 ,F/P(00011 + )6 , %51 ,F/P(0001 )6 , %51 ,F/P(00011 + 00011 =AWP 95583 = )81 , %51 ,A/P( 0053 + )81 , %51 ,F/P(0001 )21 , %51 ,F/P(0001
: B
+ )81 , %51 ,F/P(0002 - )9 , %51 ,F/P(0002 )9 , %51 ,F/P(00081 + 00081 =BWP 48314 = )81 , %51 ,A/P(0013
0001
00081 00081
0013=A 81
0002=VS
0013=A
0001 0001=VS
00011 00011 00011
: A
0053=A
-
A BWP
-
BAUE , CAUE ( )
.
( ) .
.
.
:
.
= P
= n
= VS
. ...
+ )n ,%i ,F/A(VS-)n ,%i ,P/A(P =CAUE
0005 00008 : 0009 . 8 .
% 6 .
08312 =) 8 , %6 ,F/A( 0005 0009 + )8, %6 ,P/A(00008 =CAUE
.
-
)n,%i,P/A(
.
.
. % 51 CAUE : .
A B
00062 00063
008 003
00011 0069
0002 0003
6 01
24481 = 008 + 00011 + )6, %51 ,F/A( 0002 )6, %51 ,P/A(00062 = ACAUE
52961 = 003 + 0069 + )01, %51 ,F/A(0003 )01, %01 ,P/A(00063 = BCAUEE
. ACAUE < BCAUE B
-
)i(
nruteR fO etaR =ROR
nruteR fo etaR evitcarttA muminiM =RRAM
: .
RRAM = > ROR
RRAM < ROR
.
ROR :
.
=WPN
ROR = i = CWP BWP CWP=BWP
:
=+ )n,%i,F/P(VS + )n,%i ,A/P(A+ P-
005 0001 :
. 0051
0=)5,%i,F/P( 0051 + )3 ,%i,F/P(005 + 0001 -
-
:i
( ) -1
-2
-3
. i = %61/59 .
. :
01 001 0005 . 01 0007
:
000,5 =P
01=N
001 =A
007 =F
5
001=A
4 3 2 1
0005 = P
01 9 8 7 6
0007=F
-
-000,5+001( A/P , i %,01+ )0007( F/P , i %,01=)0
) (
F=01*001+0007=0008
0005=0008( F/P , i %,n)
(F/P , i %,n = )0005/0008 = 0/526
% 4
-
=0000+ )n,%i,F/A(VS+A+)n,%i,P/A(P-
= i
= RRAM .
. = ROR
. . RRAMROR
. . RRAM
-
RRAM RRAM .
. 0= WPN
. 0= AUEN
.
.
. .
4 -2
. :
XBWP X XCWP
YBWP Y YCWP
ZBWP Z ZCWP
WBWP W WCWP
BWP
ZBWP YBWP
WBWP
XBWP
XCWP YCWP ZCWP WCWP CWP
ZY
X
=WPN %a=RRAM
W
-
%a=RRAM 54 RRAM ROR 54 RRAM ROR
. Z Y X . W
Y 54 YX : Y,X
. Y 54 ZY : Y,Z
.
.
.
-1 . RRAM
-2
. -3
. . -4
RRAM
.
: . % 01 .
-
X Y 002 007
59 021 05 051
6 21
.
)21, %01 ,F/P( 05 )6, %01 ,F/P( 002 +)6, %01 ,F/P(05 002 =CWP X 962 = 746 =)21, %01 ,A/P(59 =BWP 256 =)21, %01 ,F/P(051 - 007 =CWP Y 818 =)21 , %01 ,A/P(021 =BWP
BWP 008 007 006 005 004 003 002 001
001 002 003 004 005 006 007 008 CWP
=WPN
54
Y
X
818
746
256 962
-
. 54 %01=RRAM YX .
02 . : 2
. %6 .
3074=BWP X 0002=CWP 9237=BWP Y 0004=CWP 9208=BWP Z 0005=CWP
.
BWP 0008
0006 0004 0002
0002 0004 0006 CWP
RRAM =
Y
X
Z
C
B
A
=WPN
-
. ( 54 ) % 6 -1
. . Y . 54 YX -2 Y . 54 ZY -3
.
: 3 .
%6 =RRAM , 02 =n .
D B A C E
CWP 0001 0002 0004 0006 0009 BWP 0711 0014 0936 0167 0587
. A
BWP 0009 0008 0007 0006 0005 0004 0003 0002 0001 0
0001 0002 0003 0004 0005 0006 0007 0008 0009 00001 CWP1
=RRAM E
CA
B
D
=WPN 0587
01677
0936
0014
-
. RRAM 54 0=WPN : 1 . : 2 . : 3 (0=WPN . ) BWP=CWP : 4
:
. -1 . -2 )RRAM( -3
. -4
.
: %6=RRAM 02 .
. A B C D E
0004 0002 0006 0001 0009 936 014 167 711 587
. :
D B A C E 0001 0002 0004 0006 0009
711 014 936 167 587
. B D 0001
392 014-711=392 0002-0001=0001
%92 =ROR )02 ,%i ,A/P(392 =0001
-
. B . % 6
: A B
0002 %01 =ROR 922
. A % 6
: C A 0002 %2 =ROR 921
A . =RRAM %6 . C
:E A
0005 c %0 ~ROR 641
. 5 A
.
() / ) ( = C / B .
-
)CWP / BWP( = )WP / WP ( =)C/B( -
CAUE / BAUE = AUE / AUE =C/B
-
0 = > C-B 1 = > C/B
. 0< C-B 1 < C/B
.
. : () 0000001 () 000051 1 () 00005 () 00003 () 000001 2
. % 01 02
. .
(,,%)+=
==+CAUEAP
BAUEC . B
. :
. :
: .
: .
CWP/ BWP= C/ B CAUE/ BAUE= C/ B
. )C/ B( > 1 =
. )C/ B(
-
: .
A B C D E
0001 0002 0004 0006 0009 CWP 0431 0074 0337 0378 0009 BWP 1/43 2/53 1/38 1/64 1 C/B
. ( )
B A 0001 =CWP B 1 > 3/63 = C / B 0633 =BWP C B 0002 =CWP C 1 > 1/23 = C / B 0362 =BWP C D 0002 =CWP C 1 < 0/07 = C / B 0041=BWP
C E 0005 =CWP C 1 < 0/33 = C / B 0761=BWP
. C .
-
.
:
.
( ) -1 ( ) -2 ( ) -3 ( ) -4 ( ) -5
:
.
-
. n / )VS-P( = D
= D = P
= VS ( ) = n
. m n , , 3 , 2 , 1 =m D.m-P = mVB noitaicerpeD eulaV kooB
-
01( ) 000,08 : 5 . 00001 .
()
=== =
VBPDnDPVS
= P = VB =m VS = Dn -P = nVB n =m D -mVB =mVB
-
.
Mn
PVSDYS
mDnm
,,...,
()
= =+
m = mD
....( ) = n = m ( ) = P
= VS
()
==+=
DYSmnnn
m
)DYOS( dohteM stigiD sraey eht fo muS
-
-
00001 01 00008 : ) .
( )DYOS(
().
(().)
(().)()
().
()
()
=+=
=+
=+=
=+
=+===
==
VB
PVSDYSVBmnm
D
PVSDYS
Dnm
DYSnn
VSnP
m
m
-
. " " n/2
. . )d(-mVB = mD m)d-(P =mVB -m)d-(P.d = mD
= d .
.
)BD( dohteM ecnalaB gninilceD
PVS (().)()DYS
=+ mVBPmnm
-
. n)d-(P = nVB =VS n)d-( = P/VS n/)P/VS( - = d
0/881 : .
00008 = P 01 = n -m)d-(P.d = mD 8/909 = 4-1 ) 0/881 1(000,08 * 0/881 = D m)d-(P = mVB 43/977 = 4) 0/881 1( 00008 = VB
-
. .
)-m ,%i ,P/F( )n ,%i ,F/A( )VS-P( = mD )m,%i,A/F( )n ,%i ,F/A( )VS-P(-P = mVB
A n )VS-P( )%i(
. )n ,%i ,F/A( )VS-P( = A
00001 00008 : % 01 01 .
.
6485/24 = )3 , %01 ,P/F( ) 01 , %01 ,F/A( ) 00001 00008 ( = 4D 0441695= ) 4 , %01 ,A/F( )01 , %01 ,F/A( ) 00001 00008 ( 00008 = 4VB
dohteM dnuF gnikniS
-
- .
.
U / mU)VS-P( =mD
m = mU = U -
. )Q / mQ( )VS-P( = mD
m = mQ = Q
.
:
n )m ,%i ,F/P( mD = DWP
=m :
)n ,%i ,P/A(DWP = DAUE
. . DAUE DWP
. " "
. 00005 8 : . 00001
-
( 4) ( (
. (
-
. .
)XT(
.
)IG( -
...(. )
)TAFG( -
.
)CO( -
.
)RT( - .
)TAFC( xaT retfA wolF hsaC
( 1 xaT erofeB wolF hsaC
XAT )XT( emocnI ssorG xaT retfA wolF hsaC stsoC gnitarepO etaR xaT
-
= CO IG = TBFC
( 2 )IT( 75 ( 3
= D TBFC = IT D CO IG = IT
)xaT( ( 4 * = RT. IT = XT
)TAFC( ( 5 - = XT TBFC = TAFC RT )D TBFC( TBFC = TAFC RT.D + )RT-( TBFC = TAFC
. )WPN( ( 1
n )j ,%i ,F/P( jTAFC + P - = WPN
=j . WPN 0
)AUEN( ( 2
)n ,%i ,P/A( WPN = AUEN . AUEN 0
( ) ( 3
= WPN n
?=i =)j ,%i ,F/P( jTAFC + P - =j RRAMi RRAM
-
( ) ( 4
= AUEN ?=i = )n ,%i ,P/A(WPN
RRAMi RRAM
-
CO-IG D-TBFC RT.IT XT-TBFC
(1) (2) (3) (4) (5) (6) (7) IG CO TBFC D TI XT TAFC
(3(=)1)-(2)(5(=)3)-(4)(6=)0/4(5) (7(=)3)-(6) 0 - 0005 -0005 - - - -00005 1 00072 00001 00071 00001 0007 0082 00241 2 00062 00501 00551 00001 0055 0022 00331 3 00052 00011 00041 00001 0004 0061 00421 4 00042 00511 00521 00001 0052 0001 00511 5 00032 00021 00011 00001 0001 004 00601
n
)j ,%i ,F/P( jTAFC + P - = WPN =j )n ,%i ,P/A(WPN=AUEN
: )3 , %7 ,F/P( 00421 + )2 , %7 ,F/P( 00331 + )1 , %7 ,F/P( 00241 + 0005 - =WPN )5 , %7 ,F/P( 00601 + )4 , %7 ,F/P( 00511 +
: 0431/18 =WPN )5 , %7 ,P/A( 0431/18 =AUEN 723 =AUEN
. % 7
. 00001 000001 :
00002 9 % 05
. % 01
-
:
.
TBFC D IT XT TAFC
0 -000001 - - - -000001 1-9 00002 00001 00001 0005 00051 9 00001 - - - 00001
.
=)9 ,%i ,F/P(00001 + )9 ,%i ,A/P(00051 + -000001 %7/7 =ROR
. RRAM
-
)RT(D=ST . D
)RT(D .
.
:
n )RT( )m ,%i ,F/P( mD = STWP
=m
)i(
. . .
RP= 95( 1 I = 06( 2
. CO-IG=TBFC I-D-TBFC=IT RT.IT=XT RP-I-XT-TBFC=TAFC
. .
.
elpicnirP tseretnI
-
.
. : 00051 ( 1 0 ( 2 5 ( 3 0007 ( 4 0001 ( 5 ( 6 RT =%05 ( 7 RRAM =%51 ( 8
. ( 0051=RP ( % )01 %05 ( . . 057=I (
-
D==
0007-0001=0006 = CO-IG = raey ynA
TAFC XT IT D TBFC -00051 - - - -00051 0 0054 0051 0003 0003 0006 1-5
0007-0001=0006
%51/52 =ROR 0=)5 ,%i ,A/P(0054 + -0051 48/9 =WPN %51 =RRAM
-
( 00051% * 05 = 0057=
057 =) %01 ( 0057 =I 0051 = 5 / )0057( =RP
TAFC XT IT RP I D TBFC -0057 - - - - - -0057 0 2/526 1/521 2/052 1/005 057 0003 0006 1-5
0006-(5211+057+0051=)5262 = TAFC 0 =)5 ,%i ,A/P( 2/526 + -0057 0 =WPN
%22/22 =ROR =i
( .
. .
. ( )
.
. 36
. 56 .
sisylanA tnemecalpeR tnemeriteR rednefeD tnemecalpeR regnellahC
-
( )n . ( )n
CAUE . CAUE .
. 5 :
. 00005
% 01 .
( ) )VS(
5 0 00005 - 6 1 00004 -
7 2 00053 0001 8 3 00003 0002 9 4 00052 0003 01 5 00002 0004 11 6 00002 0005 21 7 00002 0006 31 8 00002 0007 41 9 00002 0008 51 01 00002 0009 61 11 00002 00001
000,05( A/A ,%01 ,1 ) 000,04( A/F ,%01 ,1)
000,55-000,04=000,51 0001(G/A ,%01 ,2=)084
-
. CAUE :
()
)n,%01,P/A(0005 )n,%01 ,G/A(0001 CAUE )n,%01,F/A(tVS
( n )
0 - - - 1 00051 - 00051 2 04121 084 02621 3 04011 049 08911 4 09301 0831 07711 5 0199 0181 02711 6 0988 0222 01111 7 0618 0262 08701 8 0267 0003 02601 9 0127 0733 08501 01 0886 0273 00601 11 0266 0604 08601
9 . . 41 5
CCAUE - DCAUE = =VRDE CCAUE>DCAUE >VRDE
0059 3 : . 7 0053
0003 41 00082 % 51 . 0055
-
3
9/481 + P 0/63042 = 0059 + )7 , %51 ,F/A( 0053 )7 , %51 ,P/A(P = DCAUE = 481,9
=243,01 01/243 = 0055 +)41, %51 ,F/A(0003 -)41, %51 ,P/A(00082 = CCAUE
0= 243,01 481,9 + P 0/63042 4/481 =P
.
.
.
. "
."
.
%01 . 000003 : % 01 % 5 % 01
. .
sisylanA ytivisneS
-
% %
=WP 000024 =WP 000003 =WP 000052 =WP 000044 =WP 000013 =WP 000552 %5 =WP 000564 =WP 000523 =WP 0000562 %01
. WP . WP
/ .
.
evruC tnauqosI
-
: .
%31 =RRAM 000,071 =P 01 =N 0003 = 000,02 =VS 000,53 =
. - -
. . -
( AUEN=000,071(P/A ,%31 ,01)-000,3 + 000,02(F/A ,%31, 01+)00053=0359
( AUEN=000,071(P/A ,%31 ,01)-000,3(1+Y + )000,02(F/A ,%31, 01+ )00053(1+X)
=0359 Y003-X0053+7571 =AUEN
0>AUEN 0=AUEN 0
-
. ( )X . Y
( )Y
( )X
0>AUEN
0
-
. . "
. .
: )M( 96 -1 .
. : )O( 07 -2 . : )P( 17 -3
. 47" "
. .
:
51 M ,O ,P .
etamitsE ylekil tsoM citsimitpO citsimisseP naeM ecnairaV noitubirtsiD ateB
P+M+O
=
P-O
=
-
P M O
02501 00001 00001 0091 0891 0002 9 21 21 - - 0001
= OROR ) ,%i ,F/P( + ) ,%i ,A/P( = )O =MROR ) ,%i ,A/P( = )M =PROR ) ,%i ,A/P( = )P
RRAM .
= / ) +)( +( = = / ) +)( +( = = / ) +)( +( =
= / ) +)( +( = =ROR ) ,%i ,F/P( + ) ,i ,A/P( =
.
.
. . . ....
.
tniop ot tnioP
-
: : :1
000,032= 000,04=
01= 021=
1= 000,53= 8=
: 2
000,08= =
5= 08=
3= 000,51= 6=
0002 . :
= X
OCAUE= 000,032( P/A ,%01 ,01 )-0000,04(A/F ,%01 ,01+)00053+51X = 96/029+51X
2 = 08*3* * X=04X
021 1 = 021* ) ( * ) (X = ) ( x=51X 8
1 8
1 6
-
DCAUE= 000,08( P/A ,%01 ,5 + )0051+4X
= 63/001+04X OCAUE = DCAUE 96/029 + 51x = 63/001 + 04X x =2531/8
/ 2531/8
0002 .
B
2
1
1
2
X
-
. ( ) - -
. - - -
.
77
87
97
2P 1P A .
) P / )P p(( = fi () = fi
: t = )t(P t =)t+t(P
: t )fi+()t(P =)t+t(P
noitalfnI noitalfnI ecirP noitalfnI tsoC etaR noitalfnI
-
.
n)fi+()t(P =)tn+t(P t = n
K . K kfi
)kfi+( * . K = K ) . K( / ) . K ( = kfi + - ) . K( / ) . K ( = kfi
n
... 3fi 2fi 1fi : n 1P
)nfi+( . )fi+( )fi+( )fi+(P =nP
. )t(P V )t(Y ))t(P( / ))t(Y( =V
. ))t(P( / ))t(Y( = ))t(P( / ))t(Y( = ))t(P( / ))t(Y( =V
( . )
( - - . )
. )t('Y . 0t )t(P / ))t(P( . ))t(Y( =)t('Y
ralloD lautcA ralloD tnatsnoC
-
t / t - t =n , aD () / cD () = n)fi+( / = )t(P / )t(P
aD / cD = )t(P / )t(P = )t(D
. aR/ cR = )t(P / )t(P = n)fi+( / =)t(D
.
)t(Y )t(D =)t('Y
001 . .
00021 2831 0003 5731 : : 5731 .
= ) / ( . 001
. M n1
M / ))mKP / mnP( + . + )KP / nP( + )KP / nP(( = nI
= K = n
= M n m = mnP
)K( m = mKP
. .
xednI ecirP
-
)mW + + W +W( / ))mKP / mWmnP( + . + )KP / WnP( + )KP / WnP(( = nI
= iW
IPW -
- - - - - - - - -
- - - - .
IPC .
.
. IPW
IPI
. .
))t(IPC / ))t(IPC )+t(IPC(( =)+t(fI
: .
. 2,272 IPC 5631 : .
xednI ecirP elaselohW xednI ecirP remusnoC xednI ecirP ticilpmI
-
= )/( =
)8891 0491 (IPC
IPC IPC IPC
876,0 126,0 785,0 155,0 215,0 164,0 504,0 764,0 643,0 533,0 123,0 013,0 503,0 192,0 872,0
4791 5791 6791 7791 8791 9791 0891 1891 2891 3891 4891 5891 6891 7891 8891
721,1 611,1 401,1 190,1 670,1 580,1 920,1 000,1 069,0 119,0 068,0 428,0 997,0 257,0
0691 1691 2691 3691 4691 5691 6691 7691 8691 9691 0791 1791 2791 3791
183,2 558,1 783,1 104,1 783,1 582,1 582,1 842,1 242,1 742,1 922,1 681,1 551,1 541,1
0491 5491 8491 9491 0591 1591 2591 3591 4591 5591 6591 7591 8591 9591
% 41 000,002 :
051 .
% 81 5 . 000,61
. . 000,004,2 =)051(000,61 000,004 =000,000,2 -000,004,2 5 )5 ,%41 ,P/F(P =F 928,058,3 = 5) /.41 +1(000,000,2 =)5 ,%41 ,p/f(000,000,2 =F
-
051(000,61= )0004,2 051 : %81
002,194,5 5 = )5 , %81 ,P/F( 000,004,2 =F 002,194,5 = 5) 0/81 = fi+1(000,004,2 5 173,046,1 =928,058,3 -002,194,5
5 173,046,1
. 000,004
%51 %51 . : )%51 =fi( %51
. %51 =) /( - IPC
7691 3891 . 533,0
. 99,2 =533,0/1 :
. 7691 0891 :
$ = )$( )/( = )( )/( =
31 fi 31)fi+1( =864,2 : . )7691 -0891(
)fi+( =)fi+()fi+( )fi+()fi+( :
0000051 . %8 . 01
%5 . :
= ) , ,P/A( =A 000021 %8
. K
-
k-)( = k)+(/
: =)( = -)+(
. 01 .
0000261 9316,0 01 . 815499
. .
. .
.
( ) ( ) 1 2 3 4 5 6 7 8 9 01
000021 000021 000021 000021 000021 000021 000021 000021 000021 0000261
4259,0 =1-)50,1( 0709,0 =2-)50,1( 8368,0 =3-)50,1( 7228,0 =4-)50,1( 5387,0 =5-)50,1( 2647,0 =6-)50,1( 7017,0 =7-)50,1( 8676,0 =8-)50,1( 6446,0 =9-)50,1( 9316,0 =01-)50,1(
882411 048801 656301 42789 02049 44598 48258 61218 25377 815499
.
-
. .
. 68
. . i
: 'i 'i .
. . . 'i=i
:)fi( . ...
(. ) i
(. ) 'i
etaR tseretnI tekraM etaR eerF -noitalfnI
n)fi+(
n)fi+( /
n)i+(
n)'i+(
n)i+( /
n)'i+( /
F
CF
-nn
n -n
-
fi 'i i ( ) .
... ( ) .
. ... n Cf f
: 00000002
8 %51 =i . . - %7 5 %6 -
.
) , ,A/P(A = P
) , ,A/P( = P
%6 : .
000,02
0054 0054
1
%51 =i
8 7 6 5 4 3 2
-
= ) +( / =Ca = ) +( / =Ca = ) +( / =Ca
%6 : . %7
= )+( ) +( / =Ca
= )+( ) +( / =Ca = )+( ) +( / =Ca = )+( ) +( / =Ca
= )+( ) +( / =Ca
00002 . .
)f( . f
. . 612 002 :
a = () fba
a
-
b
.
f== ()
-
. . 612 671 3 :
%.% ()
==+=+=
ff
ff
( )
( 4 )
. .
: -1 -2
fi
. fi . t tF P
t)i+( t)f+( / tF =P t)fi+( = t)f+( t)i+( t)fi+( / tF =P fi + f + i = fi
. % 5 % 01 : %51/50 = 0/050 + % 5 + %01 = fI
.
..
IPC=+= (..)
000983 = 1/890 * 000773 = (6731 )
-
. :.
)noitalfnI fo sepyT(
)noitalfnI lluP-dnameD( . )noitalfnI hsuP tsoC( .
. .
"
. " . 0052 008 5891
24 3291 .
)noitalfnI fo stceffE( ( ) .
.
. .1 . .2 . .3
)ycneiciffenI(
. .
= 001
-
. .
)noitalfgatS( .
. " . . "
)htworg cimonocE( .
. . )selcyC ssenisuB(
- ( ) .
19 -4 09 -3 98 -2 88 .1
. 5
noisseceR pmulS noisnapxE mooB
-
)PNG( tcudorp lanoitaN ssorG
. .... ...
. .... .
. )PDG( tcudorP citsemoD ssorG
( ) . . ( ) : . . .
)PDG( . .
= + AN+PDG=PNG
-
1. G. J. Thuesen, W. J. Fabrychy, Engineering Economy, (Prentice-Hall international Series in Industrial and Systems Engineering), Prentice-Hall College
Div; ISBN: X; edition, .
2. James L. Riggs, David D. Bedworch, Sabah U. Randhawa, Engineering Economic, McGraw-Hill, Higher Education, ISBN; , th edition,
.
3. Gerald W. Smit, Engineering Economy: Analysis of Capital Expenditures, Iowa state university press, ISBN: ; th edition, .
4. Eugene Lodewick Grant, William B. Areson, William G. Ireson, Principle of Engineering Economy, th edition, John Wiley & Sons; ISBN: X;
.
5. Leland T. Blank, Anothony J. Tarquin, Engineering Economy, McGraw-Hill, Series in Industrial Engineering and Management science, McGraw-Hill Collage
Div; ISBN; , th edition, .
6. J. C. Sprague, J. D. Whittaker, Economic Analysis for Engineers and Managers, Prentice-Hall, ISBN; , .
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P G A G
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