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 x₁ into x and x) list x first followed by x. For example: x¹ = (x1, T2, x3, x, x4, x5) is ordered as described. + (a) maximize subject to x₁ + 2x2x3 x₁ + 4x2 + 3x3 ≤ 1, -2x₁ + x3 ≤ x2, 4x1 + 2x3 ≥ −7, x₁ ≤ 0, X3 ≥ 0, 2 unrestricted
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 x₁ into x and x) list x first followed by x. For example: x¹ = (x1, T2, x3, x, x4, x5) is ordered as described. + (a) maximize subject to x₁ + 2x2x3 x₁ + 4x2 + 3x3 ≤ 1, -2x₁ + x3 ≤ x2, 4x1 + 2x3 ≥ −7, x₁ ≤ 0, X3 ≥ 0, 2 unrestricted
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.
(a)
maximize
x12x2x3
subject to x₁ + 4x2 + 3x3 ≤ 1,
-2x1 + x3 ≤ x2,
4x1 + 2x3 ≥ −7,
X₁ ≤ 0,
X3 ≥ 0,
*2 unrestricted
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