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Exercise

Partial derivatives with SymPy

You are an economist working for an automotive company. Your manager has modeled the production process as a function of the number of machines \(K\) and the number of workers \(L\) to produce \(F = -3K^2 + 100K - \frac{1}{2}L^2 + 100L\) cars. This is your multivariate objective function. You'll need to use partial derivatives to optimize this function.

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Instructions 1/3

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  • Define the variables capital \((K)\) and labor \((L)\) as symbols.