1. [20 points] Think about a project that you have come across in last year. (examples: birthday parties, weddings, school events, etc.)
a. What is the project that you were involved in? What was your role in the project? Describe in 50-100 words.
b. Create a Work Breakdown Structure (WBS) for the project. Your WBS should include major tasks (level 2), at least 2 sub tasks (level 3) for each major task, and at least one sub task with 3-4 activities (level 4). Note that the WBS is a graphical representation of tasks. You must DRAW a WBS showing the relationship between the tasks in level 1,2,3 and 4. You may use the SmartArt in Word (Insert SmartArt →→ Hierarchy)
2. [20 points] A youth organization is planning a project to build a jungle gym for kids. The planning team has identified 10 activities, named A-J, and activity times for the project. The tasks, durations (in days), costs, and predecessor relationships are shown as follows:
a. Draw the network for this project. If you draw on a paper, scan and insert into the .docx or .pdf file. If images are uploaded separately, they will not be graded.
b. Create the activity schedule and calculate ES, EF, LS, and LF times. Activity schedule is a table with ES, EF, LS, LF times for each activity.
c. Calculate the slack for each activity. What do they mean?
d. What are the critical path activities? Why are they important?
e. What is the project completion time? Under what conditions is this project
completion time valid?
3. [20 points] A landscaping upgrade project consists of following activities. Times are given in weeks.
a. Draw the network diagram. If you drew on a paper, scan and insert into the document.
b. Calculate the ES, EF for each activity. Show the ES and EF times in a table or in the network diagram.
C. Construct an early-start-date Gantt chart for the project, What is the project completion time? How does the Gantt chart help in project control?
d. List the activities that can be delayed without affecting the project completion time. Explain why.
4. [20 points] Environment Recycling, Inc. must clean up a large automobile tire dump under a state environmental cleanup contract. The project activity times are not certain due to various reasons and the following table shows the time estimates for activity times, Activity times are assumed to follow a Beta distribution:
a. Calculate the expected time and variance for each activity.
b. Create the activity schedule and calculate ES, EF, LS, and LF times. Activity schedule is a table with ES, EF, LS, LF times for each activity.
c. Calculate the slack for each activity.
d. Determine the estimated project completion time and the standard deviation of the critical path. Show all calculations.
e. Explain why this project has an estimated project completion time and a standard deviation.
5. [20 points] A competitor of Kozar International, Inc. has begun marketing a new instant developing film project. Kozar has had a similar product under study in its R&D department but has not yet been able to begin production. Because of the competitor’s action, top managers have asked for a speedup of R&D activities so that Kozar can produce and market instant film at the earliest possible date. The predecessor information and activity time estimates in months are shown in the next column. Assume that the project completion time is distributed normally. The critical path for this project is A-B-D-E-H.
a. Calculate the expected time and variance for each activity.
b. Determine the estimated project completion time and the standard deviation of the
critical path. Show all calculations.
c. What is the probability of finishing the project in 25 weeks or earlier? (Show all calculations. “Guesses” are not accepted as an answer.)
d. What is the probability of finishing the project in 30 weeks or earlier? (Show all calculations. “Guesses” are not accepted as an answer.)
e. What is the probability that the project is not be complete after 31 weeks? (Show all calculations. “Guesses” are not accepted as an answer.)