Consider the following LP model: marimize z- 6x1 + 4x2 subject to 1 271 + 2r2 160 I1 < 40 21, T2 2 0 • Write the dual problem for the given LP. • Using the complementary slackness conditions check if (#1, r2) = (40, 0) is an optimal solu- tion of the primal and dual problems.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Consider the following LP model:
таrimize z —
6x1 + 4r2
subject to
1
21 + 2т2
160
I1 < 40
21, 12 20
• Write the dual problem for the given LP.
Using the complementary slackness conditions check if (x1, 12) = (40, 0) is an optimal solu-
tion of the primal and dual problems.
Solve the dual problem using the dual simplex method and find the optimal solution of the dual
problem.
Transcribed Image Text:2. Consider the following LP model: таrimize z — 6x1 + 4r2 subject to 1 21 + 2т2 160 I1 < 40 21, 12 20 • Write the dual problem for the given LP. Using the complementary slackness conditions check if (x1, 12) = (40, 0) is an optimal solu- tion of the primal and dual problems. Solve the dual problem using the dual simplex method and find the optimal solution of the dual problem.
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