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4. (12 pts) Let K be the solid bounded by the four planes z = 0, y = 0, z = 0 and x +

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4. (12 pts) Let K be the solid bounded by the four planes z = 0, y = 0, z = 0 and x + 2y +3z = 12 including the boundary. Let f : K - R be the function f(x, y, z) = xyz. (a) Show that f has a global maximum on K. (b) Find this global maximum value of f on K

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