5. Consider 2 = Maximize [233] [ 2num ba 3 20 14 2-25 subject to -1 y 12] pivot row. 2x + 3y +32 + Max 2=2x+3y +32 ost 3x+2y ≤ 60 I 60 y ≤ 10 50 -x+y+42 ≤ 10 2x-3y + 52 ≤ 50 x, y, 270 x, y, z ≥ 0. a). Write the initial tableau for the simplex procedure and determine, with justifications, both the first pivot column and Using Dual Simplex Melledi

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6th Edition
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LPP: Using already existing solution in 1st pic, solve problem in 2nd pic
(per
ish-
s,
e
Max 2 =
St=
Bu
Si
52
S3
ie
5. Consider
Since
the
2 Columns. we
the pivot
3x6
-x +y
2x
O O O
CB
X3
pivof Column
pivot row.
2x + 3y +32 +
x, y, z ≥ 0.
a). Write the initial tableau for the simplex procedure and
determine, with justifications, both the first pivot column and
-ay
Cj
+ 2y + S₁ =
+42 + S₂ -
XB
60
10
50
2j->
[Maximize [2 3 3] [2]
3 20
-1 1 4
2 -25
subject to
23-G
TOW.
+ 5x + S3 = 50
2 X MT 07
3
-2
Then to choose the pivot
O.S, +0.5₂ +0.53
60
Co
BOLS W
w 9 F ON W
Y
O
-31
Max 2=2x+3y +32
soll st 3x+2y≤ 60
60
-x+y+42 ≤ 10
2x-2y+52 ≤ 50
≤10
50
x,y,z 70
-3
0 -
1- 0 0 0 0
050-000
0500-00
Using
Dual
5
Simplex
Melledi
min rafe (Xs/y)
30
to
25
most negative number of Zj-Cj is -3 and it
choose the
2nd
Column as
pivot column
row, we need to find min. radio predi
-
appears in
Then which min factio is minimum, the corresponding
the pivot
as Row 2
той
hi Kant
aglat
S
row
Transcribed Image Text:(per ish- s, e Max 2 = St= Bu Si 52 S3 ie 5. Consider Since the 2 Columns. we the pivot 3x6 -x +y 2x O O O CB X3 pivof Column pivot row. 2x + 3y +32 + x, y, z ≥ 0. a). Write the initial tableau for the simplex procedure and determine, with justifications, both the first pivot column and -ay Cj + 2y + S₁ = +42 + S₂ - XB 60 10 50 2j-> [Maximize [2 3 3] [2] 3 20 -1 1 4 2 -25 subject to 23-G TOW. + 5x + S3 = 50 2 X MT 07 3 -2 Then to choose the pivot O.S, +0.5₂ +0.53 60 Co BOLS W w 9 F ON W Y O -31 Max 2=2x+3y +32 soll st 3x+2y≤ 60 60 -x+y+42 ≤ 10 2x-2y+52 ≤ 50 ≤10 50 x,y,z 70 -3 0 - 1- 0 0 0 0 050-000 0500-00 Using Dual 5 Simplex Melledi min rafe (Xs/y) 30 to 25 most negative number of Zj-Cj is -3 and it choose the 2nd Column as pivot column row, we need to find min. radio predi - appears in Then which min factio is minimum, the corresponding the pivot as Row 2 той hi Kant aglat S row
b). Do an update of the initial tableau in Part (a), and write
the corresponding b.f.s. and basis matrix.
nim
Obec t
03
where A E Rxe
6. At most how
on
Tem have Show.
odt 93 //
-8 nmuloo Joviq dari ora dod auoitoilievi diw paistab
of Josidira
amie oda tol usaldat
22.0+ 2.0 +²
od
01
2
@Da
Joms & 2 P-E to udmun
foring
Woo
Tobiano
2
wor Joviq
pe + xl
2
(B.
sultopan
02.
Transcribed Image Text:b). Do an update of the initial tableau in Part (a), and write the corresponding b.f.s. and basis matrix. nim Obec t 03 where A E Rxe 6. At most how on Tem have Show. odt 93 // -8 nmuloo Joviq dari ora dod auoitoilievi diw paistab of Josidira amie oda tol usaldat 22.0+ 2.0 +² od 01 2 @Da Joms & 2 P-E to udmun foring Woo Tobiano 2 wor Joviq pe + xl 2 (B. sultopan 02.
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