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?

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?

Name: The optimal solution of this linear programming problem is at the inte
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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

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section: Chapter Questions

Problem 10CT: Sketch the region corresponding to the system of constraints. Then find the minimum and maximum...

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Question

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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