Solve the following linear program using the simplex method by using slack variables toget a basic feasible solution. It should require no more than two pivots.Maximize z =-2x1 4x2 + 4x3-7x48-2 1-13 5 021 -12s.t.==x ≥ 050≤ 150100

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Answered: Solve the following linear program…

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 program using the simplex method: (a) (b) (c) (d) maximize: subject to: minimize: subject to: minimize: subject to: 7x1 + 8x2 4x1 + x2 ≤ 100 x1 + x2 0 x1 + 2x2 x1 + 3x2 ≥ 11 2x1 + x2 > 9 x1 and x₂ > 0 2x1 + 3x2 + 4x3 x1 + x2 + x3 ≤ 1 x1 + x2 + 2x3 = 2 3x12x2 + x3 ≥ 4 x1, x2 and x3 ≥ 0 maximize: 2x1 + x2 subject to: 0 ≤ x ≤ 5 0 ≤ x₂ ≤7 x1 + x2 < 90
Solve this LP problem using simplex method. Show all your solutions/tables used. Identify the optimum values of X1, X2, S1, S2, S3, and Z. Maximize Z = 3X1 + 2X2 subject to 6X1 + 4X2 <= 24 X1 + X2 <= 5 X1 <= 3 X1, X2 >= 0
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Solve the following linear program using the simplex method by using slack variables to get a basic feasible solution. It should require no more than two pivots. Maximize z - 2x₁ 4x2 + 4x3-7x4 -2 1-1] 50 5 0 2 ≤ 150 -1 2 -4 100 s.t. 8 3 1 >0