Question: Consider the CobbDouglas production function f (x, y) = 20x 1/3 y 2/3 . Compute f (8, 1), f (1, 27), and f (8, 27).

Consider the Cobb–Douglas production function f (x, y) = 20x^1/3y^2/3. Compute f (8, 1), f (1, 27), and f (8, 27). Show that, for any positive constant k, f (8k, 27k) = k f (8, 27).

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