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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, x,x) is ordered as described. (a) maximize subject to ₁ + 2x₂ - 13 x1 + 4x2 + 3x3 ≤ 1, -2x1 + x3 ≤ x2, 4x1 + 2x3 2-7, #1 ≤ 0, T3 ≥ 0, T₂ 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, x,x) is ordered as described. (a) maximize subject to ₁ + 2x₂ - 13 x1 + 4x2 + 3x3 ≤ 1, -2x1 + x3 ≤ x2, 4x1 + 2x3 2-7, #1 ≤ 0, T3 ≥ 0, T₂ unrestricted

Advanced Engineering Mathematics
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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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, x,x) is ordered as described. (a) maximize subject to ₁ + 2x₂ - 13 x1 + 4x2 + 3x3 ≤ 1, -2x1 + x3 ≤ x2, 4x1 + 2x3 2-7, #1 ≤ 0, T3 ≥ 0, T₂ unrestricted
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, x,x) is ordered as described. (a) maximize subject to ₁ + 2x₂ - 13 x1 + 4x2 + 3x3 ≤ 1, -2x1 + x3 ≤ x2, 4x1 + 2x3 2-7, #1 ≤ 0, T3 ≥ 0, T₂ unrestricted
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