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Of all points (x,y,z) that satisfy x + 3y + 2z = 27, find the...

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Calculus

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Of all points (x,y,z) that satisfy x + 3y + 2z = 27, find the one that minimizes (x-1) + (y-1)+(z-1).The given function has a minimum at which satisfies x + 3y + 2z = 27.(Simplify your answer.)

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