Find the extremum of u = x2 + y2 + z2 subject to x + y + z = 1.
1
\(\rm (\bar x, \bar y, \bar z)=\left(\frac{1}{3},\frac{1}{2}, \frac{1}{2}\right)\)
2
\(\rm (\bar x, \bar y, \bar z)=\left(\frac{1}{2},\frac{1}{2}, \frac{1}{3}\right)\)
3
\(\rm (\bar x, \bar y, \bar z)=\left(\frac{1}{2},\frac{1}{2}, \frac{1}{2}\right)\)
4
\(\rm (\bar x, \bar y, \bar z)=\left(\frac{1}{3},\frac{1}{3}, \frac{1}{3}\right)\)