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.
symbols, diff, and solve have been loaded for you.
This exercise is part of the course
Introduction to Optimization in Python
Hands-on interactive exercise
Have a go at this exercise by completing this sample code.
# Define symbols K, L
K, L = ____(____)
F = -3*K**2 + 100* K - (1/2)*L**2 + 100*L