You are in charge of allocating a $$12,000$ bonus to a team that recently met an important deadline. The team was in charge of designing a Web$-$based product for a client. The project lasted a year. There were five people on the team. Your job is to determine each person$$s share of the bonus. You can't divide the bonus equally. Explain your rationale for your decision.

Devin: Project manager. He was instrumental in securing the client, coordinating everyone$$s effort, and managing relationships with the client. He put in a lot of extra hours for this project. His annual salary is $$80,000.$ He is independently wealthy, drives an expensive car, and does not have any debt. He has worked for the company for $5$ years and worked on the project from the beginning.

Alice: Technical lead. She oversaw the technical aspects of the project. She resolved many important technical issues. During the project, while some members worked extra hours, she refused to stay at the office outside regular hours. However, she was productive during regular work hours, and she was accessible via e$-$mail in the evenings. Her salary is $$50,000.$ She is a single mother and has a lot of debt. She has worked for the company for $4$ years and worked on the project for $8$ months.

Erin: Graphic designer. She was in charge of the creative aspects of the project. She experimented with many looks, and while doing that she slowed down the entire team. Brice and Carrie were mad at her because of the many mistakes she made during the project, but the look and feel of the project eventually appealed to the client, which resulted in repeat business. Her salary is $$30,000.$ She is single and lives to party. She has worked for the company for $2$ years and worked on this project from the beginning.

Brice: Tester. He was in charge of finding the bugs in the project and ensuring that it worked. He found many bugs, but he was not very aggressive in his testing. He misunderstood many things, and many of the bugs he found were not really bugs but his misuse of the system. He had a negative attitude toward the whole project, acted very pessimistically regarding the likelihood of success, and demoralized the team. His salary is $$40,000.$ He has accumulated a large credit card debt. He has worked for the company for $3$ years and worked on the project in the last $6$ months.

Carrie: Web developer. She was in charge of writing the code. She was frustrated when Erin slowed down the entire project because of her experimentation. Carrie was primarily responsible for meeting the project deadline because she put in a lot of extra work hours. Her salary is $$50,000.$ Her mother has ongoing health issues, and Carrie needs money to help her. She worked for the company for the past year and was involved in this project for $6$ months.