What is the Lagrange multiplier associated with the equality constraint in the following maximization problem? max 2x + y subject to: 3x +y = 30 x > 0 y > 0

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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Question 7
What is the Lagrange multiplier associated with the equality constraint in the following maximization problem?
max 2x + y
subject to: 3x +y = 30
x > 0
y 20
Note: There is an error margin of 0.5 in this question. That is, if the answer is 7.42, then any answer in the interval [6.92, 7.92] will be accepted as correct.
Transcribed Image Text:Question 7 What is the Lagrange multiplier associated with the equality constraint in the following maximization problem? max 2x + y subject to: 3x +y = 30 x > 0 y 20 Note: There is an error margin of 0.5 in this question. That is, if the answer is 7.42, then any answer in the interval [6.92, 7.92] will be accepted as correct.
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