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Instructions: 1- There are three project managers that have to be assigned to fo

ID: 406933 • Letter: I

Question

Instructions:
1- There are three project managers that have to be assigned to four projects. All project managers have to assign to at least one project. Therefore, at the end two project managers will be assigned to one project each, and one project manager to two projects. Based on prior information, their "effectiveness" in each project type is as follows: Project Manager 1: (80,90,65,80), Project Manager 2: (80,80,90,80) & Project Manager 3: (90,80,90,45).

2- Build, show, and solve a linear binary model that could help in decided the optimum assignment (submitting the result without the model and an explanation won’t be graded.

Explanation / Answer

The assignments of the projects to the respective project manager is based on the criteria of which manager exhibits maximum efficiency to complete a particular project . For example : Project manager 1 has highest efficiency in completing project 2 . Hence project manager 1 is assigned to project 2 .

The assignment would be as follows :

Project 1 : Project Manager 3

Project 2 : Project Manager 1

Project 3 : Project Manager 2 & Project Manager 3

Project 4 : Project Manager 1

Manager / Project Project 1 Project 2 Project 3 Project 4 Project Manager 1 80 90 65 80 Project Manager 2 80 80 90 80 Project Manager 3 90 80 90 45