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E L-LOVELY-H math28-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

fJekJh^28 L o/yh gq'rokfwzr dh ouBk

ns/ r?o^foDkswe fBopZX L B'N

X ≥ 0 (C)
ns/ y ≥ 0
T[go'es ;wZf;nk ftZu ;wheoD A T[d/P cbB B{z gqdofPs eodh j? fi;dk T[d/P ;wZf;nk B{z tZX
s'A tZX ns/ fBT{Bsw eoB dk j[zdk j?. id'A fe ;wheoD B fJj gqdofPs eodh j? fe T[sgkdB
d/ ftfGzB ;kXBK d/ ;z:'rK Bkb X ns/ y dk fezBk T[sgkdB ;zGt j' ;edk j?. Gkt fJj T[sgkdB
d/ ;kXBK d/ fBopZX B{z gqdofPs eod/ jB ns/ ;wheoD C r?o^foDkswe fBopZX B{z gqdofPs
eodk j?. T[go'es gqfefonk Formulation of Linear programming ejkT[Adh j?.
T[dkjoD L j/mK dh ;{uh B{z o/yh gq'rokfwzr d/ o{g ftZu gfotosB eo'.

gqsh kg ykd gdkoE ftZ u fBT{Bsw d?fBe
ftNkfwB (gqeko) ftNkfwB
ftNkfwB io{os
I II
A 1 10 4 20
A 2 5 5 20
A 3 2 6 12
ykd gdkoE dh gqsh kg ehws 0H60 1H00

jZbL Min f = 0.6x 1 + 1
x 2 = 0.6x 1 + x 2
fBopZX 10x 1 + 4x 2 ≥ 20
5x 1 + 5x 2 ≥ 20

2x 1 + 6x 2 ≥ 12
ns/ x 1 ≥ 0

x 2 ≥ 0
r?o^foDkswe fBopZX

28H2 ;koKP (Summary)

• nfXeheoD ns/ fBT{BsweheoD dhnK ;wZf;nktK B{z jZb eoB d/ bJh noEPk;soh
fijV/ seBhe ngDkT[Ad/ jB T[;B{z o/yh gq'rokfwzr efjzd/ jB. fJj fJZe rfDse ftXh j?.
fJ;dk ftek; fJZe rfDs ftfrnkBh ikoi v/Bfizr B/ 1947 ftZu ehsk j?.

28H3 Ppde'P (Keywords)

1H o/yh gq'rokfwzr^tZX s'A tZX ns/ fBT{Bsw Bkb i[Vh ;wZf;nk jZb eoB dh noEPk;soh
ftXh.

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