1. Give the dual of each of the following linear programs:(a)maximize 100x₁ + 200x2 + 300x3 + 400x4subject tox1+2x2+3x3 - 4x ≤ 10,-5x16x27x3+8x4-20,9x1+102+11x3-12x4 = 30,X1, X30,x40,x2 unrestricted

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Answered: 1. Give the dual of each of the…

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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solve the following linear programming problem

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1. Give the dual of each of the following linear programs: (a) maximize 100x₁+2002+300x3 + 400x4 subject to x+2x2+3x3 - 4x4 ≤10, -5x-6x2-7x3+8x4-20, 9x1 +102+11x3 - 12x4 = 30, 11, 130, 14 ≤0, 12 unrestricted