Tesla is contemplating a research and development program encompassing eight major projects. The company is constrained from embarking on all of the projects by the number of available scientists (40) and the budget available for the projects ($300,000). In the following are the resource requirements and the estimated profit for each project.

Project Expense ($000) Scientist Required Profit ($000)

1 60 7 36

2 110 9 82

3 53 8 29

4 47 4 16

5 92 7 56

6 85 6 61

7 73 8 48

8 65 5 41

41

Option 1 Provide relevant data set (e.g., scenario probability, scenario parameters, etc); if no dataset is available, you can make up a dataset;

Select and perform stochastic programming solution algorithms (L-shaped/nested L-shaped algorithm) to find optimal solution. You can use Python + Gurobi to code and solve.

Option 2:

Provide relevant data set (e.g., scenario probability, scenario parameters, etc); if no dataset is available, you can make up a dataset;

Use the Pseudo code (flow chart; please refer to our slides related to L-shaped and nested L-shaped algorithm) to describe how to solve the problem based on the given dataset in the previous step.