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A department head has four managers, and three projects (A, B, C) to be executed. The...

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General Management

A department head has four managers, and three projects (A, B,C) to be executed. The managers differ in efficiency, and theprojects differ in their intrinsic complexity. The estimate of thetimes each manager would take to complete each project is given inthe matrix below. Formulate a linear programming (LP) model fordetermining how the projects should be assigned, to a manager, soas to minimize the total project completion time. No manager shouldbe assigned more than one project.

                                                  

                                                   Manager

Project

1

2

3

4

A

8

14

12

11

B

6

9

10

8

C

7

10

9

11

Answer & Explanation Solved by verified expert
3.8 Ratings (438 Votes)
Decision variable as shown in fig1 in greenthe decision variables are binary in nature which means thatthey can take only values of 0 or 1 0 means manager not assignedto the project and    See Answer
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