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show work please! Solve the given optimization problem by using substitution. Find the maximum value of f(x, y, z) = 7 - x2 - x

show work please!

Solve the given optimization problem by using substitution. Find the maximum value of f(x, y, z) = 7 - x2 - x - y~ + y - z2 + z subject to 3x = y. fmax = Also find the corresponding point (x, y, z). (x, y, z)

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