# Factory Planning Problem I and II

## ### Factory Planning I

Want to learn how to create an optimal production plan that will maximize your profits? In this example, we’ll teach you how to solve this classic production planning problem.

More information on this type of model can be found in example # 3 of the fifth edition of Modeling Building in Mathematical Programming by H. P. Williams on pages 255 – 256 and 300 – 302.

This modeling example is at the intermediate level, where we assume that you know Python and are familiar with the Gurobi Python API. In addition, you should have some knowledge about building mathematical optimization models.

#### Access the Jupyter Notebook Modeling Example

Click on the link below to access the example in Google Colab, which is a free, online Jupyter Notebook environment that allows you to write and execute Python code through your browser.

Factory Planning I

#### How to Run the Jupyter Notebook Modeling Example

-To run the example the first time, choose “Runtime” and then click “Run all”.

-All the cells in the Jupyter Notebook will be executed.

-The example will install the gurobipy package, which includes a limited Gurobi license that allows you to solve small models.

-You can also modify and re-run individual cells.

-For subsequent runs, choose “Runtime” and click “on “Restart and run all”.

-The Gurobi Optimizer will find the optimal solution of the modeling example.

Check out the Colab Getting Started Guide for full details on how to use Colab Notebooks as well as create your own.

### Factory Planning II

Are you up for a major production planning challenge? Try this example where you will learn how to create an optimal production plan that will not only maximize profits, but also determine which month in which to perform maintenance operations on your machines.

More information on this type of model can be found in example #4 of the fifth edition of Modeling Building in Mathematical Programming by H. P. Williams on pages 256 and 302 – 303.

This modeling example is at the intermediate level, where we assume that you know Python and are familiar with the Gurobi Python API. In addition, you should have some knowledge about building mathematical optimization models.

#### Access the Jupyter Notebook Modeling Example

Click on the link below to access the example in Google Colab, which is a free, online Jupyter Notebook environment that allows you to write and execute Python code through your browser.

Factory Planning II