Oprah says I can solve this Primal Min LP min w 3y₁ + 2y2 + Ys = 8.t. Y1+ y2 + Y3 Y2Y3 91 + y2 + 2y3 Y1, Y2, Y3 ≥ 0 > 4 2 using the dual simplex method!! ≤6 so she writes down the modified problem (using -Max) max B.t. -w=-3y₁-2yz - Y3 -Y1Y2Y3 y2 - Y3 91 +92 + 2ys V1, V2, V30 <-4 ≤2 ≤6 -201 83 rhs 1 0 yi Ya Y3 81 82 3 2 1 0 0 0 1 0 0 -4 1 0 1 0 2 sets up her starting tableau: 0 −1 −1 −1 0 0 1 0 1 1 2 0 0 1 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? 0000²

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Oprah says I can solve this Primal Min LP
min w 3y + 2y2 + Ys
=
8.t.
Y1 + y2 + Y3
Y2Y3
91 + y2 + 2y3
Y1, Y2, Y3 > 0
> 4
2 using the dual simplex method!!
6
so she writes down the modified problem (using -Max)
max -w = -3y₁ - 2yz — Y3
B.t.
-Y1 - Y₂ - Y3
ya - Y3
91 +92 + 2y⁹
y1, ya, y30
ya
2 1
Y3 81 52
83
0
0 0
-1
1
0
0
1
0
1 0 2
2 0 0 1 6
rhs
0
-4
<-4
<2
< 6
-W
1
3
sets up her starting tableau: Q
-1 -1
0
0
1
0
1
1
(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?
0000²
Transcribed Image Text:Oprah says I can solve this Primal Min LP min w 3y + 2y2 + Ys = 8.t. Y1 + y2 + Y3 Y2Y3 91 + y2 + 2y3 Y1, Y2, Y3 > 0 > 4 2 using the dual simplex method!! 6 so she writes down the modified problem (using -Max) max -w = -3y₁ - 2yz — Y3 B.t. -Y1 - Y₂ - Y3 ya - Y3 91 +92 + 2y⁹ y1, ya, y30 ya 2 1 Y3 81 52 83 0 0 0 -1 1 0 0 1 0 1 0 2 2 0 0 1 6 rhs 0 -4 <-4 <2 < 6 -W 1 3 sets up her starting tableau: Q -1 -1 0 0 1 0 1 1 (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? 0000²
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