A classical problem in scheduling and integer programming is the unit commitment problem. In this

problem, our task is to turn on and off power generating plants, in order to meet a forecasted future

power demand, while minimizing our costs. We have several different power plants with different

characteristics and running costs, and various constraints on how they can be used. We will start with

a very simple model, and then expand this model with more advanced features. To make the code

easy to read, we will write it in a verbose non-vectorized format