Step 6: Sensitivity Analysis
=============================

This step demonstrates understanding marginal values using dual information.

Overview
--------

Learn how to use sensitivity analysis for understanding parameter impacts.

For detailed documentation, see the README in the tutorial directory.

Key Topics
----------

- Shadow prices (marginal values)
- Reduced costs (opportunity costs)
- Binding vs non-binding constraints
- Bottleneck identification
- Valid ranges for parameter changes

Quick Start
-----------

.. code-block:: bash

   cd tutorials/production_planning/step6_sensitivity_analysis
   python sample_data.py
   python production_sensitivity.py

See Also
--------

- :doc:`step5_scenario` - Previous step
- :doc:`step7_whatif` - Next step: What-if analysis
- :doc:`index` - Production planning tutorial overview