maximize 2x₁ + ₂-3 subject to 4r₁ + x₂ + 3x3 ≤ 1, -21₂ +13 ≤ 11, 4x2+2x3 = -7, ₁ unrestricted, X₂ ≤ 0, T3 20

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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Question
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 a first followed by . For example:
x¹ = (₁, ₂, 3, , ,5) 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 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 a first followed by . For example: x¹ = (₁, ₂, 3, , ,5) is ordered as described.
maximize 2x₁ + x₂ - 3
subject to 4x₁ + x₂ + 3x3 ≤ 1,
-2x2 + x3 ≤ ₁,
4x2 + 2x3 = -7,
₁
₂ ≤ 0,
unrestricted,
T3 20
Transcribed Image Text:maximize 2x₁ + x₂ - 3 subject to 4x₁ + x₂ + 3x3 ≤ 1, -2x2 + x3 ≤ ₁, 4x2 + 2x3 = -7, ₁ ₂ ≤ 0, unrestricted, T3 20
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