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C. Consider the linear program max Xx1+ Bx2 s.t. X1 – x2 < 1 -x1 + x2 < 1 xi > 0, x2 > 0 where a E R and BER are real parameters. Determine all values of a and B for which this linear program (a) has a unique optimal solution; (b) has more than one optimal solution; (c) is unbounded.

C. Consider the linear program max Xx1+ Bx2 s.t. X1 – x2 < 1 -x1 + x2 < 1 xi > 0, x2 > 0 where a E R and BER are real parameters. Determine all values of a and B for which this linear program (a) has a unique optimal solution; (b) has more than one optimal solution; (c) is unbounded.

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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C. Consider the linear program max Xx1+ Bx2 s.t. X1 – x2 < 1 -x1 + x2 < 1 xi > 0, x2 > 0 where a E R and BER are real parameters. Determine all values of a and B for which this linear program (a) has a unique optimal solution; (b) has more than one optimal solution; (c) is unbounded.
Transcribed Image Text:C. Consider the linear program max Xx1+ Bx2 s.t. X1 – x2 < 1 -x1 + x2 < 1 xi > 0, x2 > 0 where a E R and BER are real parameters. Determine all values of a and B for which this linear program (a) has a unique optimal solution; (b) has more than one optimal solution; (c) is unbounded.
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