Math Problem Statement
The Table below show the schedule for eight activities in a project.
Activity
Immediate Predecessor
Time
(Weeks)
Early Start Time (Weeks)
Early Finish Time (Weeks)
Latest Start Time (Weeks)
Latest Finish Time (Weeks)
A
6
0
6
3
9
B
5
0
5
0
5
C
A
3
6
9
11
14
D
A
2
6
8
9
11
E
B
4
5
9
10
14
F
B
6
5
11
5
11
G
C, E
5
9
14
14
19
H
D, F
8
11
19
11
19
If the cost to execute activities A, B, C, D, E, F, G, and H for this project are R10200, R6500, R5100, R4200, R8400, R4800, R5200, and R4000 respectively, then:
The total cost of executing the activities in the 11th week of the project, if the project started early is:
Question 6Answer
a. R1840
b. R500
c. R4600
d. R6700
e. None of the above
Solution
To determine the total cost of executing the activities in the 11th week of the project, we need to identify which activities are active during week 11 based on their scheduled durations and calculate their total costs.
Let's go through the dataTo determine the total cost of executing the activities in the 11th week of the project, we need to identify which activities are active during week 11 based on their scheduled durations and calculate their total costs.
Let's go through the
- Activity A: Duration is from week 0 to week 6.
- Activity B: Duration is from week 0 to week 5.
- Activity C: Duration is from week 6 to week 9.
- Activity D: Duration is from week 6 to week 8.
- Activity E: Duration is from week 5 to week 9.
- Activity F: Duration is from week 5 to week 11.
- Activity G: Duration is from week 9 to week 14.
- Activity H: Duration is from week 11 to week 19.
Now, let's analyze which activities are active during week 11:
- Activity F: Ends in week 11, so it is active in week 11.
- Activity H: Starts in week 11, so it is active in week 11.
These are the only activities active during week 11.
Costs of these activities:
- Activity F: R4800
- Activity H: R4000
Total cost for week 11:
Since none of the answer options match R8800, the correct answer is:
e. None of the above
Would you like further details or have any questions?
Here are five related questions for deeper understanding:
- How do we determine the critical path in a project?
- What are slack times, and how do they affect project timelines?
- How would the project cost change if activities were delayed?
- What is the significance of early and late start/finish times in project scheduling?
- How is the total project duration calculated in this scenario?
Tip: Always review the Gantt chart or activity schedule when determining active tasks for a given week.
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Math Problem Analysis
Mathematical Concepts
Project Management
Cost Calculation
Scheduling
Formulas
Total cost = Sum of costs of active activities during the specified week
Theorems
Critical Path Method (CPM)
Suitable Grade Level
University/Professional Level (Project Management)
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