Q.55 Let A E Rmxn, c E Rn and be Rm. Consider the linear programming primal problem (A) crº≥ b yº (B) crº= by Minimize: cx Ax = b x ≥ 0. subject to: Let 2 and yº be feasible solutions of the primal and its dual, respectively. Which of the following statements are TRUE? (C) If cx = b yº, then rº is optimal for the primal (D) If cx = by, then yº is optimal for the dual

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q.55
Let A E Rmxn, ce R and be Rm. Consider the linear programming primal
problem
(A) cºby
Minimize
(B)| cxº = b¹y⁰
subject to:
Let x and y be feasible solutions of the primal and its dual, respectively. Which
of the following statements are TRUE?
Az = b
x 20.
(C) If cx = by, then is optimal for the primal
(D) If crº= by, then yº is optimal for the dual
Transcribed Image Text:Q.55 Let A E Rmxn, ce R and be Rm. Consider the linear programming primal problem (A) cºby Minimize (B)| cxº = b¹y⁰ subject to: Let x and y be feasible solutions of the primal and its dual, respectively. Which of the following statements are TRUE? Az = b x 20. (C) If cx = by, then is optimal for the primal (D) If crº= by, then yº is optimal for the dual
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