Question: Minimize 2 + 2 + 2 subject to + + = 12 for positive numbers , and . (a). The method of critical points.(15 points)

Minimize 2 + 2 + 2 subject to + + = 12 for positive numbers , and . (a). The method of critical points.(15 points) (b). The method of Lagrange multiplier.

Minimize x2 + y2 + 22 subject to x + y + z = 12 for positive numbers x, y and z. (a). The method of critical points. (15 points) (b). The method of Lagrange multiplier

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