Ava runs a full-service catering business where she caters banquets and receptions. She prepares food ahead of time and she sets up tables on the day of the event. Food preparation for banquets is 12 hours and for receptions is 4, while setup hours for banquets is 9 hours and receptions is 6 hours. The maximum hours available for food preparation are 35 hours and for setup are 40 hours. If she makes $800 for each banquet and $525 for each reception, how many banquets and receptions can Ava cater to make a maximum profit?

Instructions:

1. Use Jupyter Notebook, Excel Workbook, or Google Sheet that sets up and solves this problem.
2. In the notebook/workbook/sheet include descriptions of the choices you made as you set up this file and the reasoning behind them.
3. Present the solution in a clear manner.

This is a simplified problem. Think about what we have left out in order to make the problem easy to solve. Then answer the following (either in the same file or in a separate pdf or notebook. 1. What risks do you think a real business should consider that are not described here? 2. Describe how you would gather and analyze this information. 3. Based on the risks and the profit you expect, would you recommend opening a catering business to compete with Ava? Please describe your reasoning in detail.