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Project Management Case 1: Sager Products
Sager Products has been in the business of manufacturing and
marketing toys for toddlers for the past two decades. Jim Sager,
president of the firm, is considering the development of a new
manufacturing line to allow it to produce high-quality plastic
toys at reasonable prices. The development process is long and
complex. Jim estimates that there are five phases involved and
multiple activities for each phase.
Phase 1 of the development process involves the completion of
four activities. These activities have no immediate predecessors.
Activity A has an optimistic completion time of 2 weeks, a
probable completion time of 3 weeks, and a pessimistic
completion time of 4 weeks. Activity B has estimated
completion times of 5, 6, and 8 weeks; these represent
optimistic, probable, and pessimistic time estimates. Similarly,
activity C has estimated completion times of 1 week, 1 week,
and 2 weeks; and activity D has expected completion times of 8
weeks, 9 weeks, and 11 weeks.
Phase 2 involves six separate activities. Activity E has activity
A as an immediate predecessor. Time estimates are 1 week, 1
week, and 4 weeks. Activity F and activity G both have activity
B as their immediate predecessor. For activity F, the time
estimates are 3 weeks, 3 weeks, and 4 weeks. For activity G, the
time estimates are 1 week, 2 weeks, and 2 weeks. The only
immediate predecessor for activity H is activity C. Time
estimates for activity H are 5 weeks, 5 weeks, and 6 weeks.
Activity D must be performed before activity I and activity J
can be started. Activity I has estimated completion times of 9
weeks, 10 weeks, and 11 weeks. Activity J has estimated
completion times of 1 week, 2 weeks, and 2 weeks.
Phase 3 is the most difficult and complex of the entire
development project. It also consists of six separate activities.
Activity K has three time estimates of 2 weeks, 2 weeks, and 3
weeks. The immediate predecessor for this activity is activity E.
The immediate predecessor for activity L is activity F. The time
estimates for activity L are 3 weeks, 4 weeks, and 6 weeks.
Activity M has 2 weeks, 2 weeks, and 4 weeks for the estimates
of the optimistic, probable and pessimistic time estimates. The
immediate predecessor for activity M is activity G. Activities N
and O both have activity I as their immediate predecessor.
Activity N has 8 weeks, 9 weeks, and 11 weeks for its three
time estimates. Activity O has 1 week, 1 week, and 3 weeks as
its time estimates. Finally, activity P has time estimates of 4
weeks, 4 weeks, and 8 weeks. Activity J is its only immediate
predecessor.
Phase 4 involves five activities. Activity Q requires activity K
to be completed before it can be started. The three time
estimates for activity Q are 6 weeks, 6 weeks, and 7 weeks.
Activity R requires that both activity L and activity M be
completed first. The three time estimates for activity R are 1, 2,
and 4 weeks. Activity S requires activity N to be completed
first. Its time estimates are 6 weeks, 6 weeks, and 7 weeks.
Activity T requires that activity O be completed. The time
estimates for activity T are 3 weeks, 3 weeks, and 4 weeks. The
final activity for phase 4 is activity U. The time estimates for
this activity are 1 week, 2 weeks, and 3 weeks. Activity P must
be completed before activity U can be started.
Phase 5 is the final phase of the development project. It consists
of only two activities. Activity V requires that activity Q and
activity R be completed before it can be started. Time estimates
for this activity are 9 weeks, 10 weeks, and 11 weeks. Activity
W is the final activity of the process. It requires three activities
to be completed before it can be started. These are activities S,
T, and U. The estimated completion times for activity W are 2
weeks, 4 weeks, and 5 weeks.
Instructions for PM Case 1: Sager Products
Develop a table showing the activities of the project, the
duration of each activity, the ES, EF, LS, LF and slack times.
Determine the expected completion time for the entire process.
Show the variance for each activity and compute for the total
project variance.
Determine the critical path and identify the activities on the
critical path.
What is the probability that the total project will take less than
40 weeks?
What is the probability that the total project will take between
35 and 38 weeks?
Write a comprehensive report addressing the problems of the
project duration and specifying which activities may require
very close management attention. If it appears that the project
will not be finished on time, identify the activity or activities
which may be considered for crashing, and explain why.
Problem 2 and 3 attached in files

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You may submit an Excel file, Word document, or PowerPoint slide, de.docx

  • 1. You may submit an Excel file, Word document, or PowerPoint slide, depending on how you want to present your information. Regardless of which format you choose, you have to make sure your final answers are very VISIBLE . Either highlight the final answers, make the font bolder, etc. Project Management Case 1: Sager Products Sager Products has been in the business of manufacturing and marketing toys for toddlers for the past two decades. Jim Sager, president of the firm, is considering the development of a new manufacturing line to allow it to produce high-quality plastic toys at reasonable prices. The development process is long and complex. Jim estimates that there are five phases involved and multiple activities for each phase. Phase 1 of the development process involves the completion of four activities. These activities have no immediate predecessors. Activity A has an optimistic completion time of 2 weeks, a probable completion time of 3 weeks, and a pessimistic completion time of 4 weeks. Activity B has estimated completion times of 5, 6, and 8 weeks; these represent optimistic, probable, and pessimistic time estimates. Similarly, activity C has estimated completion times of 1 week, 1 week, and 2 weeks; and activity D has expected completion times of 8 weeks, 9 weeks, and 11 weeks. Phase 2 involves six separate activities. Activity E has activity A as an immediate predecessor. Time estimates are 1 week, 1 week, and 4 weeks. Activity F and activity G both have activity B as their immediate predecessor. For activity F, the time estimates are 3 weeks, 3 weeks, and 4 weeks. For activity G, the
  • 2. time estimates are 1 week, 2 weeks, and 2 weeks. The only immediate predecessor for activity H is activity C. Time estimates for activity H are 5 weeks, 5 weeks, and 6 weeks. Activity D must be performed before activity I and activity J can be started. Activity I has estimated completion times of 9 weeks, 10 weeks, and 11 weeks. Activity J has estimated completion times of 1 week, 2 weeks, and 2 weeks. Phase 3 is the most difficult and complex of the entire development project. It also consists of six separate activities. Activity K has three time estimates of 2 weeks, 2 weeks, and 3 weeks. The immediate predecessor for this activity is activity E. The immediate predecessor for activity L is activity F. The time estimates for activity L are 3 weeks, 4 weeks, and 6 weeks. Activity M has 2 weeks, 2 weeks, and 4 weeks for the estimates of the optimistic, probable and pessimistic time estimates. The immediate predecessor for activity M is activity G. Activities N and O both have activity I as their immediate predecessor. Activity N has 8 weeks, 9 weeks, and 11 weeks for its three time estimates. Activity O has 1 week, 1 week, and 3 weeks as its time estimates. Finally, activity P has time estimates of 4 weeks, 4 weeks, and 8 weeks. Activity J is its only immediate predecessor. Phase 4 involves five activities. Activity Q requires activity K to be completed before it can be started. The three time estimates for activity Q are 6 weeks, 6 weeks, and 7 weeks. Activity R requires that both activity L and activity M be completed first. The three time estimates for activity R are 1, 2, and 4 weeks. Activity S requires activity N to be completed first. Its time estimates are 6 weeks, 6 weeks, and 7 weeks. Activity T requires that activity O be completed. The time estimates for activity T are 3 weeks, 3 weeks, and 4 weeks. The final activity for phase 4 is activity U. The time estimates for this activity are 1 week, 2 weeks, and 3 weeks. Activity P must be completed before activity U can be started.
  • 3. Phase 5 is the final phase of the development project. It consists of only two activities. Activity V requires that activity Q and activity R be completed before it can be started. Time estimates for this activity are 9 weeks, 10 weeks, and 11 weeks. Activity W is the final activity of the process. It requires three activities to be completed before it can be started. These are activities S, T, and U. The estimated completion times for activity W are 2 weeks, 4 weeks, and 5 weeks. Instructions for PM Case 1: Sager Products Develop a table showing the activities of the project, the duration of each activity, the ES, EF, LS, LF and slack times. Determine the expected completion time for the entire process. Show the variance for each activity and compute for the total project variance. Determine the critical path and identify the activities on the critical path. What is the probability that the total project will take less than 40 weeks? What is the probability that the total project will take between 35 and 38 weeks? Write a comprehensive report addressing the problems of the project duration and specifying which activities may require very close management attention. If it appears that the project will not be finished on time, identify the activity or activities which may be considered for crashing, and explain why.
  • 4. Problem 2 and 3 attached in files