Problem 6: Consider the following minimisation problem: min subject to (P.) 6(11 – 10)2 + 4(z2 - 12.5)? 1ỉ + (r2 – 5)² < 50; +3号200; (1 – 6)2 + 23 < 37. Show that r* = (7, 6) is a global optimisation problem.
Problem 6: Consider the following minimisation problem: min subject to (P.) 6(11 – 10)2 + 4(z2 - 12.5)? 1ỉ + (r2 – 5)² < 50; +3号200; (1 – 6)2 + 23 < 37. Show that r* = (7, 6) is a global optimisation problem.
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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Transcribed Image Text:Problem 6: Consider the following minimisation problem:
min
6(x1 – 10)2 + 4(x2 – 12.5)2
subject to
(Ps)*
rỉ + (x2 – 5)2 < 50;
rỉ + 3x < 200;
(x1 – 6)² + a < 37.
Show that a* = (7,6) is a global optimisation problem.
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