Oprah says I can solve this Primal Min LP min w = 3y₁ + 2y + Y3 8.t. Y1 + y2 + Y3 Y2 - Y3 91 + y2 + 2y3 Y1, 92, Ys > 0 > 4 2 using the dual simplex method!! 6 so she writes down the modified problem (using -Max) -20 1 sets up her starting tableau: 0 y/1 ya 3 2 Y3 1 81 0 -1 -1 -1 1 max 8.t. -w=-3y₁2yz - Y3 -Y1 - Y2 - Y3 ya - 3 1 + 2 + 2ys V1, V2, V30 82 83 0 0 0 0 rha 0 -4 <-4 <2 <6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Oprah says I can solve this Primal Min LP
min w = 3y₁ + 2y + Y3
8.t.
Y1 + y2 + Y3
Y2 - Y3
y1 + y2 + 2y3
Y1, 92, Y3 > 0
>4
2 using the dual simplex method!!
6
so she writes down the modified problem (using -Max)
-w
1
sets up her starting tableau: 0
0
0
0
1
1
max
8.t..
0
21 ya Y3 81 82 83
1
0
0
3 2
-1 -1 -1
0
1
1
0 2
1 2 0
1
SOOMO
0
0
1
-w=-3y1 - 2yz — Y3
–31— — 33
0
Y2Y3
V1 + y2 + 2y3
V1, V2, 3 > 0
rha
0
-4
<-4
< 2
< 6
(1) Which of y1,y2,y3 is going to be her entering BV? y3
(2) After one pivot step (of the dual simplex method) what are (in row order) the four new values of the right hand side?
/000
Transcribed Image Text:Oprah says I can solve this Primal Min LP min w = 3y₁ + 2y + Y3 8.t. Y1 + y2 + Y3 Y2 - Y3 y1 + y2 + 2y3 Y1, 92, Y3 > 0 >4 2 using the dual simplex method!! 6 so she writes down the modified problem (using -Max) -w 1 sets up her starting tableau: 0 0 0 0 1 1 max 8.t.. 0 21 ya Y3 81 82 83 1 0 0 3 2 -1 -1 -1 0 1 1 0 2 1 2 0 1 SOOMO 0 0 1 -w=-3y1 - 2yz — Y3 –31— — 33 0 Y2Y3 V1 + y2 + 2y3 V1, V2, 3 > 0 rha 0 -4 <-4 < 2 < 6 (1) Which of y1,y2,y3 is going to be her entering BV? y3 (2) After one pivot step (of the dual simplex method) what are (in row order) the four new values of the right hand side? /000
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