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Chapter 8, Section 8.6, Question 003 Use Lagrange multipliers to find the maximum and minimum values...

Chapter 8, Section 8.6, Question 003

Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=xy

subject to the constraint 5x+2y=60

if such values exist. Enter the exact answer. If there is no global maximum or global minimum, enter NA.

Optimal f(x,y)=

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Homework Answers

Answer #1

--------(1)

--------(2)

Langrange multiplier

From equation (2)

point will be  

so global maximum value of function at (x,y)=(6,15)

No global minimum

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