LP and Duality: do it yourself

The selected Python environment needs NumPy and SciPy. The notebook runs without API keys or internet once these packages are installed. In a notebook cell, import sys; print(sys.executable) shows its interpreter path. If needed, use your environment's package manager, or run uv pip install --python "/absolute/path/printed/above" numpy scipy in a terminal and restart the kernel.

Run steps in order in the same session. A NameError usually means an earlier setup cell was skipped. At alternative optima, compare feasibility and objective values rather than requiring one exact production vector. Numerical zeros may print as negative zero.