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E L-LOVELY-H math30-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12
noEPk;soh dk rfDs
B'N T[dkjoD 2L fBwB o/yh gq'rokfwzr ;wZf;nk B{z jZb eo'^
tZX s'A tZX Z = 5X 1 + 4X 2
fijVk fe X 1 + 2X 2 ≤ 8000
3X 1 + 2X 2 ≤ 9000
fi; Bkb X 1 , X 2 > 0
jZb L ;G s'A gfjbK n;hA ;wheoDK dhnK n;wkBsktK B{z ;b?e ubokPhnK dk ;wkt/P eoe /
d{o eoKr/. j[D n;hA gqfspzXK B{z j/m nB[;ko do;k ;ed/ jK^
X 1 + 2X 2 + 0X 3 = 8000
3X 2 + 2X 2 + 0X 4 = 9000
j[D n;hA T[go'es sZEK d/ nXko s/ j/mK do;kJh ;koDh pDktKr/^
fJZE/ n;hA gfjbK do;kJ/ Y k dk ;wkt/P eoKr/. fJ;d/ bJh 0 dk wkB gsk eoKr/. θ dk wkB
gfjbK Y k dh ;zpzXs w[Zb Gkr d/e/ gsk eo ;ed/ jK^
8000
θ= = 8000
1
9000
ns/ 0 = = 3000
3
fco T[; s'A pknd gzesh (Row) dh fBT{Bsw w[Zb B{z ;wkt/P eoKr/. fJZE/ lthA gzesh (d{ih
gzesh) B{z ktK ;fdP jZb (Gkt 3) d/ d[nkok jNktKr/.
d{ih ;koDh ftZu ;G s'A gfjbK n;hA kthA gzesh (gfjb/ dh d{ih gzesh) B{z gfjbh ;koDh dh
d{ih gzesh d/ Pivot Bkb Gkr d/e/ gsk eoKr/. pkeh gzeshnK d{ih ;koDh dh BthA gzesh
(fijVh fe Pivot Bkb r[Dk eoe/ gqkgs j[zdh j?) Bkb r[Dk eo d/tKr/ ns/ pknd ftZu T[;B{z
gfjbh ;koDh ithA gzesh Bkb'A xNk fdnKr/. fJj d{ih ;koDh dh ithA gzesh d/ Bshi/ B{z
do;kT[Dr/. T[j ;fEsh T[d'A sZe d[jokT[Dr/ id'A fe Z j – C j dk wkB XBkswe nk ikt/.
366 LOVELY PROFESSIONAL UNIVERSITY