Production function in terms of the capital-labor ratio

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We will find it simpler to work with a production function of one variable, the capital per labor ratio (k ≡ K/L). Define the production function in terms of the capital-labor ratio as f(k) = L1F(K,L) = F(K/L,1) = F(k,1). Derive this function for the Cobb-Douglas production function with constant returns to scale.

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