[See Steps] A software development company wants to assign 4 software engineers to four projects. The estimated time of completion (in days) of each project
Question: A software development company wants to assign 4 software engineers to four projects. The estimated time of completion (in days) of each project by each software engineer is given in the following table.
Project 1 Project 2 Project 3 Project 4
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Software Engineer A 28 25 20 18
Software Engineer B 40 32 - 44
Software Engineer C 36 27 19 25
Software Engineer D 30 25 15 22
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Software engineer B cannot be assigned to project 3 because he does not have enough training to do that project. The company wants project 1 to be assigned to software engineer C or software engineer D. The objective is to minimize the total time of completion of all four projects.
For this assignment problem:
- Define the decision variables.
(b) Determine the objective function. What does it represent?
(c) Determine all the constraints. Briefly describe what each constraint represents.
Note: Do NOT solve the problem after formulating.
Deliverable: Word Document 