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 x) list x first followed by x. For example: x¹ = (x1, T2, x3, x, x, x5) is ordered as described.
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 x) list x first followed by x. For example: x¹ = (x1, T2, x3, x, x, 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
Problem 1RQ
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Transcribed Image Text:1. 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 x) list x first followed by x. For example:
x¹ = (x1, x2, x3, x, x, x5) is ordered as described.
Transcribed Image Text:(b)
maximize
subject to
5x1(1 - 3x2 + x3) − x2
x1 + 3x2 + x3 ≥ 4,
−X1
X2
-x₁ + x₂ = x3 ≤ 3,
-2x1 + x₂ ≤ 7,
X1, X2, X3 ≥ 0
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