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TRansrokirion Pho6Lem ¢
—_ =~
Tattoo
Hid one Aypr of Cor dn whith gorol, ass
transported ftom a al O owes to a dct of
aluslinaleon Mabpel: fo supply and kimond
Q dhe sewices ard olighirateny . Sup Buch thot
tol oy Airasspoua tion ob mininyed «
types DP = Balance TP ay S2D
TL —Unbalorud TD => S#D
Methods : 7 Ay th, tnthol base
Phare ¢ fasib. solution
oe \
Domond. p00 “00 400 4 0900 Wwe Y
00 7 | po
| £0)
fe pho * Med hoch ferr foding * L BPS
Hh Nothuat anne! colt metho
iff) deol Conk Cell muthod
uf) Vogelé Appronmalicn mother -
———scannecrwitrcarhScannNosed hist Conner cll meMod ’
ff CD Spy
3 ' Toly 300
> 19 |e Je Iq {mee
3 8 3 3 41 UO
lt
Demand 950 350 UM 200 + I|go0
SU pt— het whethoy Le porobiin ws
Batonccol tfonsporrtotmin fredblewm 04 not -
300 +00 +90 = 9504350 +4004
1900 = (d00
Supp'y = Demand.
Baloncodl Tnanspore O05
Step-9: Gy allote.tan-
“7 blooper dap Aft conney
7 Compote Min Vol. olsmanal & supply
i ae Prost Value ep the elt
ond sdrbl ita ue we fucom lho Aug oof
Valus. and tud the pull valu
Slow bt LWWt4rn
scanned witn FamScannqotal_mio PF
(ye 33) t (x1) + G00
(300 83) #(o200 *2)
x6) + x)
= yuoo/—
homes
scanned witn CamscannEW
i keant Cost eqn elhnh
N Q ramen Suppty
a) ra
300 ©
4
100
Sou nas
oO
3 jo J ®
00
qo
Demand 25? 3%
60
do this mubtod we Fase
—e Aaeiolog an 4
do hicct dle fart value | }
—S Thun Compu aupplg ard dione ord
rok, walle
Ait ts Loast volur @ a
the corny of the tl ny
© dud vubtiad the Val pm os
ded tooul poo soe PE
ty After tot dhe
tle Aumaniry u ele chad an &
dans ifroun 4 dlons-
i
duaat vals hf
~’scannea witn CamScannuf lo 2 o
Prio-@
+ Tetal min ceost
300K) £262% a. £90 Xb 41OOXS + 300 X3
-- 200%2 > 4OO
Wey eeabebals }
scanned witn LamscannVogels A pproumaliin Methor!
ee Deskinatien a
A Be p Suphy
eS
po al 300
howe Pp
wv (00
AL 50
Demmacd ogo
3D UO WO
ws this metho,
O- Post tue pose jw! Howell] y
_letumn olf
Pow olyfpesnee ° Af fetencs etuen ee on
( Ponotty) 4eat least ¢ a de
toluernotpfow. : difpunee bles the 1G
Chonauty) gh foal Yalu
© ~fend Ha maytmun Value of flow ¥
Colemn fronob4y, Th dost valu of
pd thot eoespond cng AB oy epkunn
Kb vial:
scanned with Gamscann6) The deaot ult wUperding dame nd %
Boppy wu checkrol are!” fyoant Yates
hold and alyfpeuenes wt noted and the
fuiwun fy Van,
QO. Ocdbmlien
Toto! Lonpo-ta Leon unt
sooh (+ 9 OXI + GORE HORS + PD
+ 000%),
> JD
scanned witn GamscannPhare yp
Sh Mui bcp ths pueblo us dhsig
Ppbrrayd -ty pbligal optemal Jompoalri
9st -
This tan Au dolar an two methoaly,
) UV methool:
CT) MoD method!
DT Uv Method
This methoo! iy lon tousd with Hy
the PRBS whieh we get prom phan 9.
Vi
Vi Vs Vy
Ses |
oe, 3 \t PE Ia y
p2}. | 100
Urs a fels
960] [1D
U3 g 3
upt\j Gy
uf 27 Uy Vr) U3
Ny =), Wa: ; V3 qe" colons
Scr} 2s GU. alowtions
; 4e Hows
scanned witn LamScannBefou Markerg Yh fuwblm We Any fy
Uk ,
FN~1 = Nov Of allo aed oly
MO Of CeLl atlocaleel > 6,
m —no- Ynews, ne 110.4 Colunes
M23. n2y =>
Stuy -| = 6
' 626
04 lB tobi Ves Gly we haw %
(al lot, Ur Vy
> Always ; UM LON Uy =0-
If Wp s0 , Ufa? & os:
Ota 3 VV 23
aj | Vee cOvMe!
uy, =o
> C2 =! Vy = |
V;
fe o iY
aA) |
Yo lal
hao]
UL 25 6
U, 23
scanned witn LamScann® New Wwe draws ‘A final [Una Lty
l Pir S Ui AV Ce |
Po Palio {e non dros Ulb:
, > of Un-allotatid tlh,
Gy tha clement ig. ve My
\ 3 o 4
Now Aclbeted cal 7]
Una lloraltee! U0 [3 eo] a IY
Gu. vis ly fe
Lo e
3 8
“Us 23
Cy 32 Uae @ 9% e
=o040-%=2-474 .
Clu > Wavy - Cy
20-1-4 =-64
CA) = 543-9 26 /
fu = 5-1-9 =-by
Cape 3ta-R 2 oy
C3g 2 3t+1-3 Solus
Dile 1 0 of Lim than 200, then
Opteina lily us dathedl
scanned witn Gamscann|
re 4 Wwe get any poaittnst Value we Aas
ao fe nent Blip’
d
fan ae hau feo tue values
1&6
Buleet the! magemey Vote Utd
(6 Aepseeocnts GI
ty)
thet all do tale? new bose ll
Vy Vi M3 Wy
At fuved ental gy Vestal
Aptu
Ip oy aio
Dainws f le OP
shakin, pont wt ae le
med ee on are
scanned witn Famscannteem this Loop ;
TS
Considu (- us) Volar 1 Adel baat alee
J Adal to eve) dymbet 'y
0200, 50 1 * Cw) doo nag tls
Ogain cajeuta Ui Vj
Vi2r3 Ye] G20 Voc utes
df a
z/y
[104
614] 9
Pee
2alse
alloiatil ll,
@ Pangtilis feu ne
Fi 2 UAV Cy
Gi = 0-3+3 2-6
C3 = ot0-4 = -t
Ciu > o-l-42 -F
“jus §-l-Ys -5
C31 > 3-3-8 = 8
6a) > e443 =
AU Valin bhould b by
ao a)
FT t 5 19
| sul
5
!
Zoo]
Uz7 2 8 13
5
Now Portis Ay =U 4W-Gy
i M) — TY
fh! un-allocatrd ally
{ij = 0-0-3 =-5
Cig ® O+l-T =-6
hs all fla
Ciu = 0+0-Y any Val oe
bao = utl-% * a £0 , #0
Cou 2 Ut0-9 =7-9 i hrneil (dole tom
317 3-2-8 = -& As pbloined
: “rncim d(aagperlattin Coot
ola! cot 4 Gaimun
2 “op1) H{p00 XM PEDt @X3) +00 #3) (1x2)
pee
scanned with Gamscann: adibbe
O): So Sua be Bolutiin 04
thy fotioweng Aitonnpolatein fstotlim.
Cuppy.
} é a Dn Seppe:
: Aloe \t 1S!
el rer
AVP a) 99
& 3 |
x : é 5/42
q a lalse
Ht
Bemand 302° 15 10 Wo.
Ble) eCheck Ake TP wht
Balanwd OF Un balancodl.
ote pty . Demanof |
[5 405 4 0EBE 4# 30 +0415 $10 |
5 + Dp
=> unbalanced
tnbalo ncool TP Shautd Me
convertio! do balaned, by |
aulderg Dummy '
TE
scanned witn Camscannon Suppo yy Demand |
so, domand Anouk! peed
Laval do glu pp ly yy. wg |
cle mne folumn ol be
ma ea
lfteli |e} 7] 4l_o {ls
# L 3 4 6 7 e O I5
= 6 0
YQ
Hy Rb fe
‘f 1 [i La fo J 3s
30 20 15.10. 90 oom nt
Peo |
New. pout feos dolution
As vbtasrd Avy “nloruaat Wun
nu bhoo “
scannea witn Camscannu | 1h Y “
Wes if iA
AO O.
ae 1 glido * 60
- TJotal Lianpoe
tog oe. 1O¥2
Sy ge Fiske + OKT T
pve dtoxe 4 TPF
: 13X94 - 9X0" ek
+! ‘I
RYT | '
=v. = (eed
Scanned with CamScann¥
eof) dw AA oSnfopey =
Ffrind Mu pital fend Athution
Aes o _folls90r9 pcb
6 Bopp)
: | 0b 500
2 16 | goo
RD 250 500
spot 300
= §00
Dern oma — 350 £72504 500
2 1000
-- Og .(unbata neepl) =
1 cee den to
a and oh claret on
ratancel ‘
dot antec . p oe Aoppl
1 for ve. |e |, 222
QL 1G] Te [ele | 308
3 [0] o | of 80°
Qed 50 950
: “4 (glow lates?
te du lio aE
feast ZB theod.
Auf Jeaal cord col met
~~ scannea witn CamScann| TA me fe;
_ tom boo Ii»
>. poo"
‘Total faurbl pfole lice 4
DY 4-6 HUD -+ ha yoQ? 4
16x -+ O20
» (hoo/.
scanned witn Gamscann10. The demand pattern for a product at for consumer centers, A, B, C and D are 5000 units,
7000 units, 4000 units and 2000 units respectively. The supply for these centers is from
three factories X, Y and Z. The capacities for the factories are 3000 units, 6000 units and
9000 units respectively. The unit transportation cost in rupees from a factory to consumer
center is given below in the matrix. Develop an optimal transportation schedule and find the
optimal cost.
Scanned with CamScannco Supply |
3000 |
\
2 6000
{000
= ) 30v0
De BoD *}o0o £008
la poad o
po t4000
Aw Supp] = 3000460
~ 19000
o
d= sp00+ 7000 + L400
Demon +2000
— 19000"
RO.
Ve fel
) oy
Ve
scanned witn LamScann| pool
By caneng VAM metho ,
: : RD:
; P ~~ [3980 ! } |
>cannea with CamScann‘Total Uaunforlatit» Lape 4
PY3Z000 + BxtL000 + oP KIOCC
4-5 xo000 + 3K-IOO0
=H, 000 /
Nour check
Pinal = Ne of altocetes!
=> 344-I = ae
6 #45 5
Poe
. Tha Condit net Aa bfecl
“thes 7) talted WV a a
Scanned with CamScannDe ‘ oe Seah eee Com”
eta Ll A a eo *
fo ee
Sony [oblews |
cal
ToimM+n |) ob no: of ib.
# AS (alld ¥ legenoae |
fH b
i fo
3) honbink: pallowte! ols plo
ae fl A t /
boys
I) sing. tps
i de enell ed
2 piakn m du lark Valur
| qf ee naltocalid Coll and Chick 4
3) Th phowld br 70 lord Leo
_ ppunation :
2) fA “hub ctr - hob ull ab a
on untae all andl: annigy
ee ee
Value
scanned witn Gamscannwy i cae EN ’.
He ebay the unttiod bans)
bl
}
10 ply
Cog Adtetion . UALrD on op oe
cu mithoad and we \
Solute
wo. fal
Maung ov mo lhe |
ee at Chek pe)
iB 54 U0 +0) 130 = WECOD LE:
UOFOEIS-
ay 3%
2T [06 = lds
=
scanned witn Gamscannsted Lionapos lao pe
= OK L153 t oxo tox +
DOVE + Hx 1S + ERE
: : Rio/
v
Scanned with CamScannNO, cheek.
{
be 4
va 6 o Q : i
MAN} = no gia Moro’ |
= G45 -) “=f:
eR p 4 t : plot
; ) a of ' fo, @ able |
- Oru ene’ naltocals
\
ke gt lee
a l
In pala for Conus “yf. ane ;
uot wna toca teal # i, ud fe op
. ! l U
f a) ; |
2S. 70 ak il kay’ y tes |
go 20 uo [0
he focat Value 4 4,
dl deep 5 acme abo Hat
is alg Lata And pacnth pai tg) “|
|
y.
0
Chucks whetho n
feo |
10 | 2 3 5 i
Jie |
5 wo |x [2
! 2) ly | }
| 125 Es
gos PRES {po
“a Spa Ei perme TR AIS 2 a
scanned with CamScann— re
oe
plews again che! up cored ohh |
a #]
mio 1 ql |
yts / “9 oi
(8g Cane
tyler / oy ene
pap plienteo He
1 OU,
ne Pilati /
Call Vi v
V ly Le Ne i= Gl
v3 Uy My Piel
Chaati
Dine bute = 9, piace '
Cyt 2 l°
P= Odes Cyl a |
; : - 919 4
Is = O4)-F 2-1 a. ot?)
Ca sj btia-F 213. .
707
Coa] bra -lO= -2 cys Oe
C33 = be § = 5 =-b
| Cay Sag Hee
tay spas: Bat
: t £0
Aw. at! the "Pry ade no
| Sf.
nalet net Aeachec
ae mar Valur ¢ HI Ay
s C ) 28 ound fico that
i ball 0. closeel Loop:
CM 1
scanned witn Gamscannoelert the ab Vals of - “ne gp
carol aolel [duh dep 1 © AF gos bn
Ho. allo Calne. lh: 4
among Sit! - apign Value
= no: of allocating
4
4
Chick 7 mtn-!
16 el
: +
scanned witn 4...Jo ) Ah Anme puedes Db
Jupodel-
= Now seek @ nen - allocaticl coll
whue clard teop Lan not Le
fem .
Then 7 hue He
Least Value us helec Lea! whe no
Jeep can du fsimed anol oblocatsd
let
ub wilh the leont Valur E
) D 35) las
» so gore wo! ea
: ok.
m-n.- fos
Qt K-| =
Boog
~ scanned witn vamScannCoftalatt UF +f = Cy {o" ad
allo tated colb-
Vi Vv, Ve yy, Ve
a Bole .
| HO
20 prude UO 10 36
Caletat Panalitr got-all.
abl
Mallat ( Seto
1
scanned witn GamScannPy = O-l-lor~y By = 3438-42-48 :
Ply = © £Y =15.2414 Py Butte fF \
9156 20-0-9=-1) | 6 > 3-0-6 >-ly
at Ar p
Pog 2 64 a-10 2-9 | Py) = 14-00 sty 3
Pog = 6 3-15 =-4 | Py = lond-Z0 -
ee
oe eh aT Pay 3 10-U -95
. : 2219. {
UM all the Valeur hoes |
KO .: optima tty : Jeathed «
B5ES F OORT ElOKY +LOXU + PONS
pe Bx3 FATXF
=» 630/—
' qgtal optim”
Arai pos Toler
tot 4% 630/-
scanned with LamscannDemard S000 FOo00 yoo? 2000:
0 ¢70CO
hae agpey = sooo te
8 7 / = 1§000
Demand = 5000 +1000 44000 +
2000
= [fooo. .
Lusppty = Demand , bland 7P
B . Ot Cost. Clk meted.
yr
©.
{Leep
x ge]
10 Ted
% Nae 3
scanned witn GamScannqolal aus prtalibe tort
| §x3000 + 3%YO0o + IXd000
+ 5% 000 +3440
=> 71.000/-
New cheek — m-th -/ = nd-o[ blowbd
oll
BY) J
6 465
Har clegentdovy wb pceuniery
go 1D Aededdy leg enva uy we bays
make alleatin elt to 6 tn aunt
by borat big “ten -allo cen Ceol “te
| altecatid etl”
~The Beet yates’ of any enaltocotal
DB fakin, po thal 70 oloord
deep is found —fecom thot
}
scanned witn LamScannAu Ale Laot
cot Coll fy *3"
ul cannot
aw any | Laid
Loop Bo we can cxtto cas Bo al
oon Valu '€'
A
rth
ae Be D
Gocot tooo “eo om ‘
=
"Now mtnel = 00° ef allo cali?
» % ‘albh-
wb row
» flow We Gn coterlal gptnin
- neo!”
‘Ceanportoltin wh Ay Ue net
“mop: method!
|
scannea witn CamscannVY ValtLo an olulsly
| vy @ ' :
Nee U ob afotuttoo by thing
lp ve
ance ne
Vj Vy V3
é. 6.8 #4
Now Cluaslot poral bn- fer
nen - -altiocation Cll :
¢ & y F
fie eo q | iF
O+b -9 5 ‘i
ae -3 q |y¥
Fas oF8-10 Phy Ste = =
| i Py = e812 S
Pucottee oe ge fe
| -6
— scanned witn vamScannfu ab all te Valun of Pi Zo
Bptemality has Suacel.
J ppeemal iounopo lato cast’
=> 8 x3000 + 84y090 12 ROD
4-5 Ka0o00 t 3 KFO0°
= 1 hO0/ =
8) Shirel fhe optimal firanpo: alin
"Coat fe the -folle wserg dot
0, Q2 D3 supply
scent 120
S3
Donec: 1°
scanned witn vamscann