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. Note: to make your answers easier to mark, please order your vector of vari- ables by subscript. If 2 variables have the same subscript (because you have split a variable x; into x₹ and ￯) list x₹ first followed by x. For example: x¹ = (X1, X2, X3, x, x7,x5) is ordered as described.

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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Say whether or not each of the following is a linear program. If it is a linear program,
then reformulate 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.
Note: to make your answers easier to mark, please order your vector of vari-
ables by subscript. If 2 variables have the same subscript (because you have
split a variable x; into x and x) list x first followed by x. For example:
x¹ = (x1, x2, x3, x, x, x5) is ordered as described.
Transcribed Image Text:Say whether or not each of the following is a linear program. If it is a linear program, then reformulate 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. Note: to make your answers easier to mark, please order your vector of vari- ables by subscript. If 2 variables have the same subscript (because you have split a variable x; into x and x) list x first followed by x. For example: x¹ = (x1, x2, x3, x, x, x5) is ordered as described.
minimize 2.7x1 + 1.3x2 +4.5x3
subject to 3x1 + x2 + 5x3 ≤ 12,
(x₁ + x3)² ≥ 16,
1.5x10.9x2 > 14.5,
X1, X2, X3 ≥ 0
Transcribed Image Text:minimize 2.7x1 + 1.3x2 +4.5x3 subject to 3x1 + x2 + 5x3 ≤ 12, (x₁ + x3)² ≥ 16, 1.5x10.9x2 > 14.5, X1, X2, X3 ≥ 0
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