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Solve, using first and second order optimization conditions, the following conditioned optimization problem: (a) Find the conditioned maximum and minimum solutions, if any, of the

Solve, using first and second order optimization conditions, the following conditioned optimization problem:

(a) Find the conditioned maximum and minimum solutions, if any, of the following problem: Maximize or Minimize the function F(x,y,z) = x² + y² + z² Subject to 3x + 2y + z = 6

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