[15] (4) GIVEN: z = f(x, y) = x²y, where (x, y) is subject to the constraint: I: x² + xy + 7y² 27, x > 0, y > 0. = a) Find MAX(z) and b) The point (x, y) = I so that MAX(z) A AB · C = ADⓇ (Find the maximum value of z, ) Us the METHOD of the Lagrange Multiplier HINT: (provided f(x, y) 4 =B A = A# 0,B #0 C# 0,D#0' (Add on extra pages as needed for your solution. ILLUSTRATION of Lagrange Solution
[15] (4) GIVEN: z = f(x, y) = x²y, where (x, y) is subject to the constraint: I: x² + xy + 7y² 27, x > 0, y > 0. = a) Find MAX(z) and b) The point (x, y) = I so that MAX(z) A AB · C = ADⓇ (Find the maximum value of z, ) Us the METHOD of the Lagrange Multiplier HINT: (provided f(x, y) 4 =B A = A# 0,B #0 C# 0,D#0' (Add on extra pages as needed for your solution. ILLUSTRATION of Lagrange Solution
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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please calcutate the image attached
do not do a long calculation just calculate short and simple
this is not a graded question
![[15] (4) GIVEN: z =
f(x, y) = x²y,
where (x, y) is subject to the constraint:
I: x² + xy + 7y²
27, x > 0, y > 0.
=
a) Find MAX(z)
and
b) The point (x, y) = I so that MAX(z)
A
AB
· C = ADⓇ
(Find the maximum value of z, )
Us the METHOD of the Lagrange Multiplier HINT:
(provided
f(x, y)
4 =B
A
=
A# 0,B #0
C# 0,D#0'
(Add on extra pages
as needed for your
solution.
ILLUSTRATION of
Lagrange Solution](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69006781-6ec7-4986-97af-ec5a6fbf065e%2Fd6c58754-88cb-44f4-973f-59011e3057b0%2Fh64drd6_processed.png&w=3840&q=75)
Transcribed Image Text:[15] (4) GIVEN: z =
f(x, y) = x²y,
where (x, y) is subject to the constraint:
I: x² + xy + 7y²
27, x > 0, y > 0.
=
a) Find MAX(z)
and
b) The point (x, y) = I so that MAX(z)
A
AB
· C = ADⓇ
(Find the maximum value of z, )
Us the METHOD of the Lagrange Multiplier HINT:
(provided
f(x, y)
4 =B
A
=
A# 0,B #0
C# 0,D#0'
(Add on extra pages
as needed for your
solution.
ILLUSTRATION of
Lagrange Solution
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