Say whether or not each of the following is a linear program. If it is a linear program, then reformulate it in standard inequality form, giving the values of the vectors c and b, and the matrix A. If it is not a linear program, write a sentence or two explaining why. (a) minimize 5x1 + 6x3 subject to 2.9x1 +6x2 +8x3 ≥ 6.2, (x₁ − x3)² ≥ 16, 1.5x118x2 ≤ 14, X1, X2, X3 ≥ 0
Say whether or not each of the following is a linear program. If it is a linear program, then reformulate it in standard inequality form, giving the values of the vectors c and b, and the matrix A. If it is not a linear program, write a sentence or two explaining why. (a) minimize 5x1 + 6x3 subject to 2.9x1 +6x2 +8x3 ≥ 6.2, (x₁ − x3)² ≥ 16, 1.5x118x2 ≤ 14, X1, X2, X3 ≥ 0
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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Transcribed Image Text:Say whether or not each of the following is a linear program. If it is a linear program,
then reformulate it in standard inequality form, giving the values of the vectors c
and b, and the matrix A. If it is not a linear program, write a sentence or two
explaining why.
(a)
minimize 5x1 + 6x3
subject to
2.9x1 + 6x2 + 8x3 ≥ 6.2,
(x₁ - x3)² ≥ 16,
1.5x1 — 18x2 ≤ 14,
X1, X2, X3 ≥ 0
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