Question: Two international banks are integrating two financial processing software systems as a result of their merger. Preliminary analysis and interviews with all parties involved resulted

Two international banks are integrating two financial processing software systems as a result of their merger. Preliminary analysis and interviews with all parties involved resulted in the following project information. The "systems integration team" for this project plans to define and manage the project on two levels. The following table shows the crash times and normal and crash costs for the international bank systems integration project. All times are in weeks.

Activity Immediate Predecessors Normal Time Crash Time Normal Cost Crash Cost
A 3 2 $1,100 $1,900
B A 1 1 4,000 4,000
C A 2 2 1,900 1,900
D B, C 9 8 5,400 6,300
E C 2 2 2,400 2,400
F C 3 1 2,200 4,000
G E 6 5 4,400 5,800
H E, F 5 4 3,250 4,850
I D, G, H 8 6 8,300 14,300

  1. Choose the correct network for the project.

    The correct network is -Select-network Anetwork Bnetwork Cnetwork DItem 1 .

    A. B.
    C. D.

  2. Identify the critical path.

    The critical path is: A-C-E-G-I, A-C-F-H-I, A-B-D-I, A-C-D-I, A-C-E-H-I

  3. What is the total project completion time? Round your answer to the nearest whole number.

    _____ weeks

  4. What is the lowest-cost solution if the bank wants to complete the project two weeks early? Round your answer for the project duration to the nearest whole number and the answer for the total cost to the nearest dollar.

    The total cost of a(an) _______ -week project-completion schedule is $ _____ .

2.

The following table shows estimates of activity times (weeks) for a project:

Activity Optimistic Time Most Probable Time Pessimistic Time
A 5 5.5 9
B 2.5 3 3.5
C 6 7 8
D 4 5 6
E 2.5 3 3.5
F 1 2.5 7
G 8 10 12

Suppose that the critical path is A-C-E-F-G. Use Appendix A to answer the questions. Do not round intermediate calculations. Round your answers to three decimal places.

  1. What is the probability that the project will be completed within 28 weeks?

  2. What is the probability that the project will be completed within 31 weeks?

  3. What is the probability that the project will be completed within 32 weeks?

  4. What is the probability that the project will be completed in 29 weeks?

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