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Answer :
a. Start and finish times for each activity:
Activity Start Time Finish Time
P1 0 2
P2 2 6
P3 6 11
P4 11 16
S1 16 21
S2 16 22
D1 21 22
D2 21 23
D3 21 22
D4 23 27
I1 27 30
I2 23 27
I3 27 31
I4 30 34
V1 21 31
V2 34 36
b. The minimum number of weeks to complete the project is 36 weeks.
a. To determine the start and finish times for each activity, we need to create a network diagram based on the given dependency information. Let's start with the first activity, P1, which has no dependency and starts at week 0 and finishes at week 2.
Next, we have P2, which is dependent on P1. Since P1 finishes at week 2, P2 can start at week 2 and finishes at week 6 (4 weeks duration).
Moving forward, P3 is dependent on P2. P2 finishes at week 6, so P3 can start at week 6 and finishes at week 11 (5 weeks duration).
Similarly, P4 is dependent on P3. P3 finishes at week 11, so P4 can start at week 11 and finishes at week 16 (5 weeks duration).
Now, we move on to the supplier specifications subproject (S). S1 is dependent on P4, so it can start at week 16 and finishes at week 21 (5 weeks duration). S2 is also dependent on P4, so it starts at week 16 and finishes at week 22 (6 weeks duration).
Next, we move to the product design subproject (D). D1 is dependent on S1, so it starts at week 21 and finishes at week 22 (1 week duration). D2 and D3 are also dependent on S1, so they start at week 21 and finish at week 23 (2 weeks duration for D2 and 1 week duration for D3).
D4, the outer cover, is dependent on D1, D2, and D3. Since D1 finishes at week 22 and D2 and D3 finish at week 23, D4 can start at week 23 and finishes at week 27 (4 weeks duration).
Moving on to the product integration subproject (I), I1 is dependent on D4, so it starts at week 27 and finishes at week 30 (3 weeks duration). I2 is dependent on D2, so it starts at week 23 and finishes at week 27 (4 weeks duration). I3 is dependent on I2, so it starts at week 27 and finishes at week 31 (4 weeks duration).
Finally, I4, the prototype testing, is dependent on I1 and I3. Since I1 finishes at week 30 and I3 finishes at week 31, I4 can start at week 30 and finishes at week 34 (4 weeks duration).
Lastly, we have the subcontracting subproject (V). V1 is dependent on S1 and S2, so it starts at week 21 and finishes at week 31 (10 weeks duration). V2 is dependent on I4 and V1, so it starts at week 34 and finishes at week 36 (2 weeks duration).
b. To determine the minimum number of weeks for completing the project, we look at the finish time of the last activity, which is 36 weeks. Therefore, the minimum number of weeks to complete the project is 36 weeks.
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The probable question may be:
Your job as a project manager!
A company based in College Station makes cell phones. You are the project manager for the design of a new cell phone. Your boss has already scoped the project, so you have a list showing the work breakdown structure, including major project activities. You must plan the project schedule and calculate the project duration. Your boss wants the schedule on her desk tomorrow morning!
You have information about all the activities required in the project, their dependencies, and the duration of each activity (see table below). Remember that the preceding activity must be fully completed before work on the following activity can be started.
MAJOR SUBPROJECTS/ACTIVITIES ACTIVITY IDENTIFICATION DEPENDENCY DURATION (WEEKS)
Product Specifications (P)
Market research P1 — 2
Overall product specifications P2 P1 4
Hardware P3 P2 5
Software P4 P3 5
Supplier specifications (S)
Hardware S1 P4 5
Software S2 P4 6
Product design (D)
Battery D1 S1 1
Display D2 S1 2
Camera D3 S1 1
Outer cover D4 D1, D2, D3 4
Product integration (I)
Hardware I1 D4 3
User interface I2 D2 4
Software coding I3 I2 4
Prototype testing I4 I1, I3 4
Subcontracting (V)
Suppliers selection V1 S1 ,S2 10
Contract negotiation V2 I4, V1 2
a. Calculate the start and finish times for each activity. (Leave no cells blank - be certain to enter "0" wherever required.)
Hint: To visualize this project, prepare a network diagram using the dependency information provided. To address this problem, you need to apply the concepts of the Critical Path Method (CPM). Please make sure to check eCampus' module Project planning (time budgeting and the CPM method).
b. Determine the minimum number of weeks for completing the project.
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