(Solved) Use Lagrange multipliers to find the indicated extrema Maximize f(x,y,z)=xyz , s.t. x+y+z-6=0


Question: Use Lagrange multipliers to find the indicated extrema

\[\begin{aligned} & \text{Maximize}\,\,\,\,\,f\left( x,y,z \right)=xyz \\ & \text{s}\text{.t}\text{.}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x+y+z-6=0 \\ \end{aligned}\]

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