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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 at first followed by r. For example: x¹ = (X1, X2, X3, X†‚ 7,5) is ordered as described. (b) maximize subject to 5x₁(1-3x₂ + x3) - 1₂ x₁ + 3x₂ + x3 ≥ 4, −11+1₂-13 ≤ 3, -2x1 + x₂ ≤7, I1, I2, I3 20

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 at first followed by r. For example: x¹ = (X1, X2, X3, X†‚ 7,5) is ordered as described. (b) maximize subject to 5x₁(1-3x₂ + x3) - 1₂ x₁ + 3x₂ + x3 ≥ 4, −11+1₂-13 ≤ 3, -2x1 + x₂ ≤7, I1, I2, I3 20

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) listr first followed by . For example: x¹ = (x₁, 72, x3, x, x4,5) is ordered as described. (b) maximize subject to 5x1(1-3x2 + 3) - 2 ₁+ 3x₂ + x3 ≥ 4, -X1 + X₂ X3 ≤ 3, -2x1 + x₂ ≤7, I1, I2, I3 20
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) listr first followed by . For example: x¹ = (x₁, 72, x3, x, x4,5) is ordered as described. (b) maximize subject to 5x1(1-3x2 + 3) - 2 ₁+ 3x₂ + x3 ≥ 4, -X1 + X₂ X3 ≤ 3, -2x1 + x₂ ≤7, I1, I2, I3 20
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