Consider the problem of maximizing the algebraic expression q given by q = V6 – (x + 2)² – y² - subject to the constraint X-y-4y = 8, using the Lagrange multiplier technique. When solving the system corresponding to this problem, the following relationship between the variables is obtained:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Consider the problem of maximizing the algebraic expression q given by
V6 – (x + 2)² – y2
-
-
subject to the constraint X-y-4y = 8, using the Lagrange multiplier technique. When
%3D
solving the system corresponding to this problem, the following relationship between the
variables is obtained:
Y – 2
|
A) x =
Y + 1
x + 2
В) у —
x + 1
-x – 2
C) y =
x +1
y + 2
D) x =
Y +1
Transcribed Image Text:Consider the problem of maximizing the algebraic expression q given by V6 – (x + 2)² – y2 - - subject to the constraint X-y-4y = 8, using the Lagrange multiplier technique. When %3D solving the system corresponding to this problem, the following relationship between the variables is obtained: Y – 2 | A) x = Y + 1 x + 2 В) у — x + 1 -x – 2 C) y = x +1 y + 2 D) x = Y +1
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