max f(x, y, z)=x+2z s.t. x+y+z=1 is (x. y. 2) = (0. - 12/2) with Lagrange multipliers equal to ₁ = 1 and ₂ = 1.
max f(x, y, z)=x+2z s.t. x+y+z=1 is (x. y. 2) = (0. - 12/2) with Lagrange multipliers equal to ₁ = 1 and ₂ = 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
H3.
Transcribed Image Text:The solution to the problem
max f(x, y, z)=x+2z s.t.
is (x, y, z) = (0.-
OOO
What is the approximate change of the value function Af, if we change the first constraint to x+y+z=1.05 and the second constraint tox+y+z=1.7?
0
0.05
x+y+z=1
-0.05
-0.1
with Lagrange multipliers equal to A₁ = 1 and ₂ = 1.
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