1. Stacey is forming a team to develop a new product for her company. To ensure that her team incorporates a diverse range of viewpoints, she has been allowed to select team members from across three departments. After speaking with several other managers, Stacey has identified 10 potential team members: The Commitment score for each person is Stacey's estimate, on a scale of 1-10, of how committed the person would be to the project. The "Years" column shows how many years of experience the person has. Formulate an optimization model using binary decision variables to help Stacey form a team that will maximize the total commitment level subject to the follow constraints: - The team must have exactly five members. - The team must have at least one member from each of the three departments (Marketing, Engineering, and Accounting). - The average of the number of years of experience of the team members must be at least 7. - The team must have at least two women. - The team must have at least two men, - If Jing is chosen for the team, Guillaume must also be chosen. - Bernie and Hilda can't both be chosen. - Alvin and Drew must either both be chosen or both left off. (You do not need to find the optimal solution)