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Let the following current tableau of a maximization problem with slack variables S1, S2, S3. Z X1 X2 X3 $1 $2 $3 RHS 1 0 a b C 0 0 m 0 1 d e f 0 0 n 0 0 g h i 1 0 0 0 j k 0 1 P d) Let x3 is entering the basis and let e,h,k≤ 0. What type problem is this? e) Let a=0, b=3, c=5, is the solution optimal? If x₂ enters the basis does the objective function value change? Why? f) Let x2 is entering the basis and s3 is leaving the basis. Let n=3, 0-6 and p=0. In the new tableau it is seen that the value of m is same. Why do you think the objective function value did not improve?

Let the following current tableau of a maximization problem with slack variables S1, S2, S3. Z X1 X2 X3 $1 $2 $3 RHS 1 0 a b C 0 0 m 0 1 d e f 0 0 n 0 0 g h i 1 0 0 0 j k 0 1 P d) Let x3 is entering the basis and let e,h,k≤ 0. What type problem is this? e) Let a=0, b=3, c=5, is the solution optimal? If x₂ enters the basis does the objective function value change? Why? f) Let x2 is entering the basis and s3 is leaving the basis. Let n=3, 0-6 and p=0. In the new tableau it is seen that the value of m is same. Why do you think the objective function value did not improve?

Advanced Engineering Mathematics
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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Let the following current tableau of a maximization problem with slack variables S1 , S2, S3 - X1 X2 X3 S2 S3 RHS 1 b 1 d e f n h i 1 k 1 d) Let x3 is entering the basis and let e,h,k< 0. What type problem is this? e) Let a=0, b=3, c=5, is the solution optimal? If x2 enters the basis does the objective function value change? Why? f) Let x2 is entering the basis and s3 is leaving the basis. Let n=3, 0=6 and p=0. In the new tableau it is seen that the value of m is same. Why do you think the objective function value did not improve? O O O
Transcribed Image Text:Let the following current tableau of a maximization problem with slack variables S1 , S2, S3 - X1 X2 X3 S2 S3 RHS 1 b 1 d e f n h i 1 k 1 d) Let x3 is entering the basis and let e,h,k< 0. What type problem is this? e) Let a=0, b=3, c=5, is the solution optimal? If x2 enters the basis does the objective function value change? Why? f) Let x2 is entering the basis and s3 is leaving the basis. Let n=3, 0=6 and p=0. In the new tableau it is seen that the value of m is same. Why do you think the objective function value did not improve? O O O
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