1. Consider the following data on planned relocation activities for a small company: Predecessor Activity A B D A AC B E, F D, E, G,J,K F G H I J K L M N P Duration, weeks 3 21 8 21 13 3 5 2 8 21 13 5 21 3 13 CI J.M L M N a) Draw and label a project network diagram from the information above, using forward and backward pass, Indicate ES, EF, LS and LF on the diagram. [12 mks). b) How long will it take to complete the project? [2 mks). c) Identify the critical path. [2mks). d) Briefly discuss the significance of the critical path in completing the project (5mks). c) What are the floats on activities F and K? |2mks). 1) What will be the likely impact on project duration if activity M takes four (4) days longer than planned? 15mks g) Suppose the average duration for a project of this size and complexity is 46 weeks, with a standard deviation of 2.3 weeks, what is the likelihood that this project will be completed within its estimated time? 16mks) h) Suppose the average duration for a project of this size and complexity is 40 weeks, with a standard deviation of 2.3 weeks, what is the likelihood that this project will be completed within its estimated time? (6 mks EstimatedTime - AvgTime Hint: Take Std Dev Page2 Examiner: Emmanuel Hasford 2. Consider the following data on planned activities for a project by Multilines Consult Predecessor Activity A B D A E AC B EF D, E, G, J K Duration, weeks 3 21 8 21 13 3 5 2 8 21 F G 1 J K L M N C,I M 13 L M N 5 21 3 13 a) Draw and label a project network diagram from the information above, using forward and backward pass. Indicate ES, EF L S and LF on the diagram. [12 mks). b) How long will it take to complete the project? [2mks). c) Identify the critical path. 2mks). d) Briefly discuss the significance of the critical path in completing the project [Smks). e) What are the floats on activities F and K? [2mks). A) What will be the likely impact on project duration if activity M takes four (4) days longer than planned? (5mks) g) Suppose the average duration for a project of this size and complexity is 46 weeks, with a standard deviation of 1.8 weeks, what is the likelihood that this project will be completed within its estimated time? [6mks h) Suppose the average duration for a project of this size and complexity is 40 weeks, with a standard deviation of 1.8 weeks, what is the likelihood that this project will be completed within its estimated time? [6mks Hint: Take z EstimatedTime - AvgTime StdDev 3