Consider the following problem: Minimize (x1 – 4)² + (x2 – 6)? subject to x2 2 xf X2 <4.
Consider the following problem: Minimize (x1 – 4)² + (x2 – 6)? subject to x2 2 xf X2 <4.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
help with exercise 3.45
![[3.45] Consider the following problem:
Minimize (x1 – 4)² + (x2 – 6)²
-
subject to x2 2 xí
X2 <4.
Write a necessary condition for optimality and verify that it is satisfied by the
point (2, 4). Is this the optimal point? Why?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bc18e7a-f663-40e4-87af-7c08d362e011%2F92391d5a-f03c-42a2-887d-36383c4e6db6%2F4o3fcgi_processed.png&w=3840&q=75)
Transcribed Image Text:[3.45] Consider the following problem:
Minimize (x1 – 4)² + (x2 – 6)²
-
subject to x2 2 xí
X2 <4.
Write a necessary condition for optimality and verify that it is satisfied by the
point (2, 4). Is this the optimal point? Why?
Expert Solution
Step 1
In this question, we write the necessary condition for the optimality and verify it for the point(2,4)
the system is
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