Let (P) denote the linear programming problem min + 3x2 cx3 s.t. 2x1 + 2x3 5 %3D 2x2 + 2x3 6 %3| X3 > 0. where c is a real number. Find all values of c so that every feasible solution to (P) is an optimal solution. Justify your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let (P) denote the linear programming problem
min
3x2
+
cx3
+ 2x3
+ 2x3
s.t. 2x1
+
= 5
2x2
6.
X3
0.
where c is a real number. Find all values of c so that every feasible solution to (P) is an optimal
solution. Justify your answer.
Transcribed Image Text:Let (P) denote the linear programming problem min 3x2 + cx3 + 2x3 + 2x3 s.t. 2x1 + = 5 2x2 6. X3 0. where c is a real number. Find all values of c so that every feasible solution to (P) is an optimal solution. Justify your answer.
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