An inequality constraint problem min12(x1−1)2+12(x2−2)2 s.t. x1−x2=1and x1+x2≤2

jelentetvq

jelentetvq

Answered

2022-02-01

An inequality constraint problem
min12(x11)2+12(x22)2
s.t. x1x2=1and x1+x22

Answer & Explanation

Flickkorbma

Flickkorbma

Expert

2022-02-02Added 17 answers

Write x2=t and x1=t+1, then you have to find a minumum of
f(t)=t2+(t2)2=2t24t+4
where t12. Since it global minimum is at t=1 we see that it is decreasing on (,1), so
f(t)f(12)=...

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