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CarpetPlus sells and installs floor covering for commercial buildings. Brad Sweeney, a CarpetPlus account executive, was just awarded the contract for five jobs. Brad must now assign a CarpetPlus installation crew to each of the five jobs. Because the commission Brad will earn depends on the profit CarpetPlus makes, Brad would like to determine an assignment that will minimize total installation costs. Currently, five installation crews are available for assignment. Each crew is identified by a color code, which aids in tracking of job progress on a large white board. The following table shows the costs (in hundreds of dollars) for each crew to complete each of the five jobs:

 

 

1

2

Job 3

4

5

Red

30

44

38

47

31

White

25

32

45

44

25

Crew

Blue

23

40

37

39

29

 

Green

26

38

37

45

28

 

Brown

26

34

44

43

28

a. Develop a network representation of the problem.

b. Formulate and solve a linear programming model to determine the minimum cost assignment.

Operation Management, Management Studies

  • Category:- Operation Management
  • Reference No.:- M91592010

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