Consider the function f(x, y) = 2x² − y² + 4x + 6y subject to x + 2y = 20 a) Find the extreme point b) Determine the nature of the extreme point
Consider the function f(x, y) = 2x² − y² + 4x + 6y subject to x + 2y = 20 a) Find the extreme point b) Determine the nature of the extreme point
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 48CR
Question
Please review the following for accuracy and please provide corrections where necessary:
Consider the function f(x, y) = 2x² − y² + 4x + 6y subject to x + 2y = 20
a) Find the extreme point
b) Determine the nature of the extreme point
I found the first order conditions to be:
Equation 1: 4x + 4 - λ = 0
Equation 2: -2y +6 -2λ =0
Equation 3: x+2y-20 =0
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