Question 1: 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?
Question 2: 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 above? Were any savings associated with considering Burton as one of the possible project leaders?
c. Which project leader remains unassigned?