Suppose the production of a firm is modeled by P(k, l)=16 k^1 / 3 l^2 / 3, with k and l defined

Name: Suppose the production of a firm is modeled by P(k, l)=16 k^1 / 3 l^2 / 3, with k and l defined as in example 5.2. Suppose that l=3 and k=4, the labor force is increasing at the rate of 80 workers per year and capital is decreasing at the rate of $ 200,000 per year. Determine the rate of change of production.
Uploaded: 2023-09-13T18:48:17-08:00
Duration: 3 min 29 s
Channel: Adi S
Description: Suppose the production of a firm is modeled by P(k, l)=16 k^1 / 3 l^2 / 3, with k and l defined as in example 5.2. Suppose that l=3 and k=4, the labor force is increasing at the rate of 80 workers per year and capital is decreasing at the rate of $ 200,000 per year. Determine the rate of change of production.

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Oswaldo Jiménez · Accepted Answer

First, we need to find the partial derivatives of the production function with respect to $k$ an

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