max x= 3x1 + 2x2 s.t. 2x1+x2 <100 x1 + x2 ≤80 21 ≤40 and the optimal tableau: 2 x1 x2 81 82 83 rhs 1 0 0 1 1 0 180 0 0 1 - -1 2 0 60 0 0 0 -1 1 20 0 1 0 1 -10 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 90 Y/N

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
Question
Here is the original LP
max z= 3x1 + 2x2
2x1 + *2
< 100
< 80
< 40
s.t.
xi + x2
and the optimal tableau:
S1
82
83
rhs
1
1
180
1
-1
2
60
-1
1
1
20
1
1
-1 0
20
Use decimals with no extra zero's:
1. What is the allowable increase for constraint 2 1
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 90 Y/N
Transcribed Image Text:Here is the original LP max z= 3x1 + 2x2 2x1 + *2 < 100 < 80 < 40 s.t. xi + x2 and the optimal tableau: S1 82 83 rhs 1 1 180 1 -1 2 60 -1 1 1 20 1 1 -1 0 20 Use decimals with no extra zero's: 1. What is the allowable increase for constraint 2 1 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 90 Y/N
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