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Maximise -x2 + 0.4x - y2 + 0.2y using only points within the sphere x² + y < 1 . What is the value of y at the optimum? (Round to one decimal point.) Answer:

Maximise -x2 + 0.4x - y2 + 0.2y using only points within the sphere x² + y < 1 . What is the value of y at the optimum? (Round to one decimal point.) Answer:

Advanced Engineering Mathematics
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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Maximise -x2 + 0.4x-y2 + 0.2y using only points within the sphere x² + y < 1 What is the value of y at the optimum? (Round to one decimal point.) Answer: Now consider maximising -x2 + 12x - y2 + 20y within the same sphere, but with the added restriction that y is not positive. At the optimum, what is the value of the Lagrange multiplier associated with the sphere restriction? Answer:
Transcribed Image Text:Maximise -x2 + 0.4x-y2 + 0.2y using only points within the sphere x² + y < 1 What is the value of y at the optimum? (Round to one decimal point.) Answer: Now consider maximising -x2 + 12x - y2 + 20y within the same sphere, but with the added restriction that y is not positive. At the optimum, what is the value of the Lagrange multiplier associated with the sphere restriction? Answer:
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