Here is the original LP max z= 3x₁ + 2x₂ s.t. 2x1 + x2 I1+I₂ I1 and the optimal tableau: <100 ≤80 <40 $2 $3 rhs 1 1 0 180 -1 2 0 60 Z I1 I2 $1 1 0 0 0 0 1 0 0 0 -1 1 1 20 0 1 0 1 -1 0 20 Use decimals with no extra zero's: 1. What is the allowable increase for constraint 2 2. What is the allowable decrease for constraint 2 3. What is allowable increase for BV coefficient c2 4. What is allowable decrease for c2 111 5. Will (x2,s3, x1} be BV for a bfs if b2 is changed to 30 Y/N

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Mm1

Here is the original LP
z = 3x1 + 2x2
2x1+ 12
max
s.t.
< 100
< 80
< 40
and the optimal tableau:
S1
S2
83 rhs
1
1
1
180
1
-1
2
60
0 0 0
0 1
-1
1
1 20
1
-1 0
20
Use decimals with no extra zero's:
1. What is the allowable increase for constraint 2
2. What is the allowable decrease for constraint 2
3. What is allowable increase for BV coefficient c2
4. What is allowable decrease for c2
5. Will {x2,s3, x1} be BV for a bfs if b2 is changed to 30 Y/N
Transcribed Image Text:Here is the original LP z = 3x1 + 2x2 2x1+ 12 max s.t. < 100 < 80 < 40 and the optimal tableau: S1 S2 83 rhs 1 1 1 180 1 -1 2 60 0 0 0 0 1 -1 1 1 20 1 -1 0 20 Use decimals with no extra zero's: 1. What is the allowable increase for constraint 2 2. What is the allowable decrease for constraint 2 3. What is allowable increase for BV coefficient c2 4. What is allowable decrease for c2 5. Will {x2,s3, x1} be BV for a bfs if b2 is changed to 30 Y/N
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