The maximum value of the function.
$f(x,y,z)=(x−1/3)^{2}+(y−1/3)^{2}+(z−1/3)^{2}$
Subject to the constraints
$x+y+z=1, x\geq 0,y\geq 0,z\geq 0$
The question has been asked here but I was trying to solve it using the method of Lagrange-Multiplier, but it is giving the minimum value for f(x) instead of maximum value. Can we solve this question using Lagrange Multiplier?
The actual answer to this question is 2/3.
@ShaikMasthan @srestha mam, please check this out