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 . For example: x¹ = (x₁, 2, x3, x,x, 5) is ordered as described. (a) minimize 5x1 + 6x3 subject to 2.9x1 +6x2 + 8x3 ≥ 6.2, (x₁ - x3)² ≥ 16, 1.5x1 18x214, (b) (c) maximize subject to X1, X2, X3 20 5x₁(1-3x2 + x3) - X₂ x1 + 3x2 + x3 ≥ 4, -x1+x₂x3 ≤ 3, -2x1 + x₂ ≤ 7, X1, X2, X30 maximize 2x1 + x2-x3 subject to 4x₁ + x₂ + 3x3 ≤ 1, -2x2 + x3 ≤ 1, 4x2 + 2x3 = -7, ₁ unrestricted, X2 ≤ 0, X3 20

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 . For example: x¹ = (x₁, 2, x3, x,x, 5) is ordered as described. (a) minimize 5x1 + 6x3 subject to 2.9x1 +6x2 + 8x3 ≥ 6.2, (x₁ - x3)² ≥ 16, 1.5x1 18x214, (b) (c) maximize subject to X1, X2, X3 20 5x₁(1-3x2 + x3) - X₂ x1 + 3x2 + x3 ≥ 4, -x1+x₂x3 ≤ 3, -2x1 + x₂ ≤ 7, X1, X2, X30 maximize 2x1 + x2-x3 subject to 4x₁ + x₂ + 3x3 ≤ 1, -2x2 + x3 ≤ 1, 4x2 + 2x3 = -7, ₁ unrestricted, X2 ≤ 0, X3 20

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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