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finsol06 - 6 Show that(—‘l2/3 “1/6 1/1/6)T is a local...

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Unformatted text preview: 6. Show that (—‘l2/3, “1/6, 1/1/6)T is a local minimizer for the problem Minimize f(x) = f(x1,$2,$3) = 3m1 + x2 + :53 subject to 0 1 x1+$2+w3 2 2 2 $1+w2+x3 by demonstrating that (—4 2/3, “1/6, ‘ll/6)T satisfies the sufficient conditions pre- sented in the course. Law/[e : ”If; +£+Vg > ~V§E+7fl to 975+“; +74, =I foam: gx, Mammy, Pge,>,~{j2)ax‘ a VMR’UJ) 7/ far/M 11%}?91] : [Org Fifi-553%}; 95; 0 MM) 5' $1,;33‘f/1AJW) : O z («>~s73,)a722aL-V%)m 0 m, f/ 31 r\ :_{i/3 - NJ? I? (Sig/zh‘aélF/Sflfi) :0 2W? 0 o 9\ "‘2 I); D D a 3/ 0 V7” V6731) 7 0 “RA; 0 ] 2 [(3 [g 3% punk/o AQL‘WZE So A} W 2(X)T\7;; 23633860 [3 [Mum Liza—t6 “$727)th Ckfiwflfl’ig ,qu H II 2.- TX;T)%)%/\2(K/A+X;+x§ /) l D 0" —3—13\ ...
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