jawaban uas or 1_2014
DESCRIPTION
UASTRANSCRIPT
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Activity PredecessorNormal
Duration ost (dalam juta) Duration
A - 5 4 3
B - 5 3 1
C A 10 4 5D B 7 4 2
E A 6 3 2
F C,D 5 6
G C,D 6 3 4
H E,F 5 2 1
I G 4 2 1
biaya normal 31
Durasi normal 251 2 3 4
AEH 16 16 16 16
ACFH 25 24 23 22
AC! 25 24 23 22
BDFH 22 22 22 22
BDGI 22 22 22 22
1
24 316
ACFHACGI
A !urun 1
C turun "#$
G,H !urun 2
H,I !urun 15
2
C turun 23 322
3
C turun 22 32"
4 21 33#
ACFH
ACGI
BDFH
BDGI
A,B !urun 15
C, B !urun 11
A, D !urun 14C% D turun 1
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H, I !urun 15
5 20 34#
C% D turun 1
6 1# 363
A% D turun 14
7 1" 377
A%D turun 14
" 17 3#2
H%! turun 15
# 16 407
H%! turun 15
10 15 &2#2
H%! turun 15
A'A
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Crash
Cost (dalam juta) Cost sloe lot durasi
6 1 2 Habis
5 05 4
7 06 5 Habis6 04 5 sisa 1
5 05 4
5 Habis
6 15 2
4 05 4 $isa 3
5 1 3 Habis
5 6 7 " #
16 16 16 16 15
21 20 1# 1" 17
21 20 1# 1" 17
21 20 1# 1" 17
21 20 1# 1" 17
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10 11
14 13
16 15
16 15
16 15
16 15
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%ro&ram E'( B)n)*! E'( Cos!
A 5# 30
B 31 20
C 16 10
Ca(i!al +a' 40
$!a&) %ro&ram
$!a!) Ca(i!al aailabl) un!u (ro&ram i
.b/ Fun! +a' B)n)*!
ta*e 1 Pro*ram A
$!a!) 10 11 1 1
10 0 - 0 020 0 - 0 0
30 0 5# 5# 1
40 0 5# 5# 1
ta*e 2 Pro*ram +
$!a!) 20 21 2 2
30 5# 31 5# 0
40 5# 31 5# 0
ta*e 3 Pro*ram C
$!a!) 30 31 3 3
40 5# 75 75 1
,esult-
+ene.t ma/ 75
Pro*ram yan* diilih
d10 1
d20 0
d30 1
Asumsi
B)n)*! m)ru(aan (ro*! b)rsi
$)an&an /ia m)n&&unaan asumsi baa b)n)*! m)ru(aan (ro*
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sisa 30, /ia 21 sisa 10, lia! s!a!) 1 10 (aa s!a&) 1
sisa 40, /ia 21 sisa 20, lia! s!a!) 20 (aa s!a&) 1
! o!or, maa bisa E'(B)n)*!-E'(%ro*! - asilnya sama
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tahun e Cummulative demand
2015 1 (lan! 5400 1
2016 2 (lan! 5600 1
2017 3 (lan! 5"00 1
201" " (lan! 5700 5
Common !a' 1500
+a' ()mbua!an 1 !aun 3 (lan!
ahun 2"14
&d&
" 1 2
" 07 7200
6 12#00
5
ahun 2"1$
3d3
" 1 2
6 12#00 14500 131005 1"600 20200 20300
4 25#00 26000
3 31700
2
ahun 2"15
2d2
" 1 2
3 31700 33000 31300
2 37500 3""00 3"6001 43100 44400
ahun 2"1&
1d2
" 1 2
0 50000 4#200
,esult
2015 32016 3
Cost er lant( / 1""")
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2017 0
201" 2
otal 6iaya &78""
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9: d:3
0 07200 1
12#00 2
1"600 1"600 3
3 9: d:
12#00 01"#00 1"600 0
26100 25#00 1
31"00 31700 2
37500 37500 3
3 9: d:
31200 31200 3
36#00 36#00 344200 43100 3
3 9: d:
4"#00 4"#00 3
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B8 9n!u asus ini !ia bisa m)n)n!uan :o)r :imi! )n&an ()mbula!a
!P 1
*aris 1 /1
Subject to: 0
-22
6*aris 2 /1
0
#"
*aris 3 /1
5
5
5
;a/ <
'1 '2
-22 0
3#7 3
5 24
5 0
!P 2
*aris &
Subject to: /1 /2
3 03 4
;a/ <
x1>=3 /1 /2
3 0
5 0
5 24
3 26
3#7 3
!P 3
;a/ <
Subject to: /1 /2
-2 0
3 0
3 2#$
Max Z = -x1+ 4 x
2
-10 x1 + 20 x
2 ≤ 22
5 x1 + 10 x2 ≤ 49x
1 ≤ 5
Max Z = -x1+ 4 x
2
-10 x1 + 20 x2 ≤ 225 x
1 + 10 x
2 ≤ 49
x1 ≤ 5
Max Z = -x1+ 4 x
2
-10 x1 + 20 x
2 ≤ 22
5 x1 + 10 x
2 ≤ 49
x1 ≤ 5
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x1<=3
!P &
aris &
Subject to: /1 /2
4 0
4 4
x1>=3 (hila! "a#ea $u%ah te#&a"ili x1>=4' ;a/ <
x1>=4 /1 /2
4 0
5 0
5 24
4 2#
!P 5
;a/ <Subject to: '1 '2
3 2#$
x1>=3 (elebu# eja%i x1=3'
x1<=3
Max Z = -x1+ 4 x
2
-10 x1 + 20 x
2 ≤ 22
5 x1 + 10 x
2 ≤ 49
x1 ≤ 5
Max Z = -x1 + 4 x2
-10 x1 + 20 x
2 ≤ 22
5 x1 + 10 x
2 ≤ 49
x1 ≤ 5
)*S, S.S/* .* S,.-,ihat *6 7 %e!a$ol8e#
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n '1 )baa m)n/ai 3, ar)na on;i (aa < an ba!asannya
/2
11
0
41/2
4#
0
/2
0
2
4
<
22
7#2
46
-5
<
-3
-5
46
74
7#2
<
2
-3
4#&
-4 -2 0 2 4 6 " 10
0
1
2
3
4
5
6
-4 -2 0 2 4 6 " 10
0
1
2
3
4
5
6
4
5
6
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'1=4
I% 4
76 >4, 2#?
$@.% ar)na '1 sua
,esult-
/1 0 &
/2 0 2#8
< 0 4#$
12
Garis 1
Garis 2
Garis 3
12
Garis 1
Garis 2
Garis 3
Garis 4
Garis 1
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12
Garis 2
Garis 3
Garis 4
12
Garis 1
Garis 2
Garis 3
Garis 4
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I% 1
"2 >3", 3?
'1=3 '13I% 2 I% 3
"2 >3", 3? 74 >3, 26?
$@.% ar)na '1 sua in!)&)r
'13
I% 5
74 >3, 26?
in!)&)r $@.% ar)na '1 sua in!)&)r
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Subject to: '1 '2
4 2#
x1 ite!e#
Max Z = -x1+ 4 x
2
-10 x1 + 20 x
2 ≤ 22
5 x1 + 10 x
2 ≤ 49
x1 ≤ 5
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< Cons!rain! 1
76 1"
Cons!rain! 2
4#
Con!rain! 34
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!aun )- Cummula!i)
1#"1 1 5400
1#"2 2 5600
1#"3 4 5"00
1#"4 6 5700
1#"5 7 5500
1#"6 " 5200
Common !a' 1500
+a' ()mbua!an 1 !aun 3 (lan!
187$
$ D$" 19: d:
" 0 0 0
7 6700 6700 1
1875
55
" 1 2 9:
" 0 0
7 6700 7000 67006 13700 12500 12500
187&
&&
" 1 2 3
" 0
7 6700 7200
6 12500 13#00 12#00
5 1#700 1#600 1"600
4 25400 25300
1873
3D2
" 1 2 3
6 12500 14000 13100
5 1"600 1#"00 1#"00 1"#00
4 25300 25#00 25600 25600
3 32600 31700 31400
2 3"400 37500
Cos! ()r (lan! > '1000?
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1872
2D2
" 1 2 3
3 31400 32400 31300 30"00
2 37500 3"500 3"000 36#001 44600 44100 43600
1871
1D1
" 1 2 3
0 50500 4#200 4"500
Cost minimum &75""
tahun 1 3 3
tahun 2 3 6
tahun 3 0 6
tahun & 0 6
tahun 5 2 "
tahun $ 0 "
Plant yan*
di6an*un
Accumulated
lant
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d:
0
12
9: d:
0 0
6700 0
12500 0
1"600 3
25300 3
9: d:
12500 0
1"600 0
25300 0
31400 3
37500 3