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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

in Calculus | 17 views
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donot know.
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Out of calculus :(