kelas b kelompok 7 metode vogel_s
TRANSCRIPT
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KELOMPOK 7
NAMA KELOMPOK :1. PINKY PRICILIA
2. SITI ELOK FAIQOH
3. SUCI WULANDARI
4. YOPI HERDIANA
MATEMATIKA B/ SMT.V
SOAL DAN PEMBAHASAN METODE VOGELS (VAM)
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50
2 0
30
350
22 36
50
022
3
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D!,* A3"% R2 > 3 22 > R'. 7.7
D!,* A3RD > 2 > R'.
9&! > R'. 23..
M!"! =&! +*!)! -%, '%(0!(0"$!( +!!( +!(0(!( !,* $%&'!$ !-! "%
$%&'!$ ,%! %-$!$% !!! R'. 23...
7. P%,-!!!( -%'!$ S'#,$) &%&'%,#% #,%, !,* 5 *-$,*+$#,()! )!*$
FHI9!( K. D!!& &%&%(* #,%, '%!(00!(()! *(* '%,-!!!(
+%,%(;!(! &%(0*,*&"!( !()! )!(0 +%,!-! !,* '!+,*" !,* 6 '!+,*" )!(0
*&**"*()!. A!'( "% '!+,*" $%,-%+$ !!! ABCD !( E %(0!(
"!'!-*$!- &!-*(0&!-*(0 21274!( 3. A!'( +*!)!
'%(0*,*&!( )!(0 *!(00!,"!( !!! :
F H I 9
K
A
B
C
D
E
2 1 4 2
1 16 3 2 3
3
2 2 2 3 44
4 3 4 2 1
2
2 3 3 4
P%,&*($!!( &!-*(0&!-*(0 *-$,*+$#,()! !!! 3 2 17 2 2
!( 1.
a. Lakukan pendistribusian dengan menggunakan metode A!
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" # $ % & ' (
A 920
15
40
25
50
50
2
00 5 5 5 5 5 5
200
)15
18
35 2
20
35
30
150 3 3 3 3 3 3
15
0
*10
25
20 1
25
35 6
40
45
2+5 5 5 5 5 5 5
50
1+5
50
,40
30
40 3
20 5
15 4
20
400 5 5 5
15
10
10
50
200
150
- 850 +
25
35
30
40
50
300 5
15
15
15
25
50
250
,
3
00
2
50
1
+5
2
00
2
50
1
50
13
25
15
15
25
20
15
20
15
15
20
15
20
15
15
15
20
15
15
15
1 1
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5 51
5
1
5
M%(0*$(0 B*!)! '%(*-$,*+-*!(
Y > 17 28 1 28 28 1 28 2 18 48 2 28 8
2 28 28
Y > 437 3 1 3 3 2 52 2 4 12
Y > 3.37
6. P!! -!$ '%,-#!!( '%,!(0"$!( +!!(+!!( '#"#" &!"!(!( !,* "#$!
"#$! * P! 9!
*!""!( &%!* "!'! !$ !,* "#$!"#$! * '! $%,$%($ * !, '!
9!
S%$%! &%!* '%(%*$*!( --(!( $!+% $,!(-'#,$ )!(0 !)!" !'!$ !!!
-%+!0!* +%,*"$:
T1 T2 T3 T4 P%,-%*!!( P%(!$*
A1 5
A2
A3 6
A4 2
A-!
T=!(
20 30 100 +0
10 50 60
90
10
50 80 15
30 40 +0 60
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K%+$!( 7 5 3 5 22
P%(!$*
P%,-#!!(:
1. T%($"!( +!!( '#"#" &!"!(!( !,* $%&'!$ !! "% $%&'!$ $=!(
'%()!,!(
2. H*$(0 =&! +*!)! $,!(-'#,$ !,* "%-%,!( *-$,*+-* +!!( '#"#"
&!"!(!( $%,-%+$S#-*:
P%,*$(0"!( $!+% $,!(-'#,$ )!(0 -! %(0"!' '%(0*-*!(()! -%+!0!* +%,*"$:
T1 T2 T3 T4 P%,-%*!!( P%(!$*
A1 5 1 1 1
1
A2
A3 6 3 3 3
A4 2 1 1 1
1
K%+$!( 7 5 3 5 22
P%(!$* 1
1
1
1
1
1
4
D!,* '%,*$(0!( &%$#% J#0%G- '!! $!+% $,!(-'#,$!-* *'%,#%:
1. D!,* $%&'!$ !-! * P! 9!
D!,* A1"% T1 > 2 $#(
A-!
T=!(
20
200
30
400
100 +0
50
10 50 60
550
10
50
500
80 15
300
90
30 40
200
+0 60
50 20
5550
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D!,* A1"% T2 > 4 $#(
D!,* A2"% T4 > $#(
D!,* A3 "% T1 > $#(
D!,* A3"% T3 > 3 $#(
D!,* A4"% T2 > 2 $#(
D!,* A4"% T4 > $#(
9&! > 22 $#(
2. K%-%,!( +*!)! *-$,*+-* +!!( &!"!(!( '#"#" *(* !'!$ *()!$!"!(
-%+!0!* +%,*"$:
A1T1>2 2 > R'. 4.
A1T2>4 3 > R'. 12.
A2T4> 1 > R'. . A3T1> > R'. 2.
A3T3>3 1 > R'. 4.
A4T2>2 4 > R'. 6.
A4T4> 5 > R'. 3.
9&! > R'. 52.
M!"! =&! +*!)! *-$*+-* +!!( &!"!(!( '#"#" !!! R'. 5.2.
?. P%,-!!!( !*, &*(%,! *(0*( &%(*-$,*+-*"!( ',#" $%,+!,()! "%
%&'!$ !0%( )!(0 &%(=!* '%!(00!( '%,-!!!( !*, &*(%,! $%,-%+$ !(
*(0*( &%(*-$,*+-*"!(()! "% +%+%,!'! "#$! * I(#(%-*! %(0!( +*!)!
!$!, "%'!! '!,! !0%( * *$(0 %(0!( =!,!" $%&'!$ !0%( $%,-%+$ -%$*!'
'%, 0!#(()!. B%,*"$ +*!)! '%(0*,*&!( ',#" $%,-%+$ !!& +%($"
,'*!R'8:
Ta.el ,6* Data Tran"prta"i
K%
D!,*
C*%0#( K(*(0!( B!((0 P!!(0 Supply
A0%( 1 11 ? ? 7 53
A0%( 2 6 7 12 6 47
A0%( 3 ? 1 5 11 4
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A0%( 4 7 6 7 ? 5
Demand 2 5 53 23
S%%-!*"!( %(0!( &%(00(!"!( M%$#% A',#"-*&!-* V#0% VAM8
M%$#% !',#"-*&!-* J#0% !!! &%,'!"!( &%$#% )!(0 '!*(0 +!*" !,*
$*(0"!$ "%$%*$*!(()!. A!'( '%,*$(0!( &!(! %(0!( &%(00(!"!( &%$#%
!',#"-*&!-* J#0% !!! -%+!0!* +%,*"$:
Ta.el ,6- Metde Apr!"ima"i Vgel (VAM)
7e
Dari
C*%0#( K(*(0!( B!((0 P!!(0 Supply Penalty
A0%( 1 11 ? ? 7 53 1 1 1 1
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53
A0%( 2 6 7
47
12 6 47 7
A0%( 3 ? 1 5
4
11 4 3
A0%( 4 7
2
6
7
7
? 5 1 6
Demand 2 5 53 23
Penalty 1 1 1
1 1 2
1 1
1
1
> 2784778768458785378
> 354352537342412472
> R'.1.52.
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P%,*$(0!( &!(! %(0!( &%(00(!"!( &%$#%Metode Aproksimasi Vogel
+*!)! '%(*-$,*+-*!( !*, &*(%,! !,* '!+,*" !*, &*(%,! "%'!! %&'!$ !0%( )!(0
$%,!'!$ * %&'!$ "#$! -%+%-!, R'.1.52.
1. S%#,!(0 '%(0-!! +%,%(;!(! &%(0*,*&"!( +!,!(0 ',#"-*()! "%
+%+%,!'! ,%$!*%, )!(0 !! * +%+%,!'! "#$! )!*$ : 9%&+%, L&!=!(0 !(
B!(0*. A!'( $!+%()! -%+!0!* +%,*"$ :
METODE VAM
BIAYATUJUAN
OPPORTUNITY
JEMBER LUMAJANG BANGIL
SUPPLY
COST
SU
MBER
BLITAR
15
20 21
150
5
x 15
04
x
KEPANJEN
16
18 23
250
2
200
350
5x
TUREN
25
27 14
375
11
x x 3
75
2
SUMBERPUCU
NG
10
1 18
100
8
x
756 2
57
DUMMY
0 0 075
0
x 75 1 x
DEMAND 200 350 400 50
OPPRTUNITY COST
10
18 14
BIAYA TRANSPORTASI
!
"75 # 0$ % "375 # 14$ %"200 # 16$ % "150 # 20$ %"50 # 18$ % "75 # 1$ %"25 # 18$
! 0 % 5250 %
3200 % 3000% 00 % 1425
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% 450
! 14&225
1
BIAYA
TUJUAN
OPPORTUNITY
JEM
BER BANGIL
SUPPL
Y
COST
SUMB
ER
BLITAR
15
21 150
6
KEPANJEN
16
23 250
7
TUREN
25
14 375
11
375
2
SUMBERPUCU
NG
10
18 100
8
DUMMY
0 0 75
0
DEMAND
200 40050
OPPRTUNITY COST
10
14
2
BIAYATUJUAN
OPPORTUNITY
JEMBER
SUPPLY
COST
SUMBE
BLITAR
15 15
0
15
KEPANJ
EN
1
6
25
0
16
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R
20
0
3
TUREN
25 37
5
25
SUMBERPUCU
NG
10 10
0
10
DUMMY
075
0
DEMAND
20050
OPPRTUNITY COST
10
3
BIAYATUJUAN
OPPORTUNITY
JEMBER
SUPPLY
COST
SUMBER
BLITAR
15 15
0
15
TUREN
25 37
5
25
SUMBERPUCU
NG
10 10
0
10
DUMMY
075
0
DEMA
ND200
5
0 OPPRTUNITY COST
10
(umber diniariani1986.blogspot./om201211utakatiksoalmetodetransportasi.tml
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