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 first followed by . For example: x¹ = (x₁, T2, T3, x,,5) is ordered as described. (c) minimize subject to ₁ + x₂ + x3 = 1, X2 ≤ 3, I1 - X3 > -5, F1, T3 ≥ 0, x₁ + 2x₂-3x3 2 unrestricted
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 first followed by . For example: x¹ = (x₁, T2, T3, x,,5) is ordered as described. (c) minimize subject to ₁ + x₂ + x3 = 1, X2 ≤ 3, I1 - X3 > -5, F1, T3 ≥ 0, x₁ + 2x₂-3x3 2 unrestricted
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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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 first followed by . For example:
x¹ = (x₁, T2, T3, x,,5) is ordered as described.
(c)
minimize
subject to ₁ + x₂ + x3 = 1,
X2 ≤ 3,
I1 - X3 > -5,
F1, T3 ≥ 0,
x₁ + 2x₂-3x3
2 unrestricted
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