The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max2x1 + x2s.t.4x1 + 1x2 ≤ 400 4x1 + 3x2 ≤ 600 1x1 + 2x2 ≤ 300 x1, x2 ≥ 0Over what range can the coefficient of x1 vary before the current solution is no longer optimal?

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Description: The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max2x1 + x2s.t.4x1 + 1x2 ≤ 400 4x1 + 3x2 ≤ 600 1x1 + 2x2 ≤ 300 x1, x2 ≥ 0Over what range can the coefficient of x1 vary before the current sol

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Answered: The optimal solution of this linear…

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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The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2.

Max	2x₁ + x₂
s.t.	4x₁ + 1x₂ ≤ 400
	4x₁ + 3x₂ ≤ 600
	1x₁ + 2x₂ ≤ 300
	x₁, x₂ ≥ 0

Over what range can the coefficient of x₁ vary before the current solution is no longer optimal?

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Over what range can the coefficient of x₂ vary before the current solution is no longer optimal?

Compute the dual value for the first constraint.

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