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Transportation Assignment and transshipment problems

12.
Scott and associates Inc, is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experience of the leaders, the various leader-client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are.

Project Client
Leader 1 2 3
Jackson 10 16 32
Ellis 14 22 40
Smith 22 24 34

a. Develop a network representation of this problem.
b. Formulate the problem as a linear program and solve. What is the total time required?

13.

Assume that in problem 12 and additional employee is available for possible assignment. The following table shows the assignment alternatives and the estimated completion times.
Project Client
Leader 1 2 3
Jackson 10 16 32
Ellis 14 22 40
Smith 22 24 34
Burton 14 18 36

a. What is the optimal assignment?
b. How did the assignment change compared to the best assignment possible in Problem 12? Were any savings associated with considering Burton as one of the possible project leaders?
c. Which project leader remains unassigned?

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Word file contains solution for Transportation Assignment and transshipment problems. it also contains network representation of the problems.

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