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:

4800+4000=R88004800 + 4000 = R8800

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:

  1. How do we determine the critical path in a project?
  2. What are slack times, and how do they affect project timelines?
  3. How would the project cost change if activities were delayed?
  4. What is the significance of early and late start/finish times in project scheduling?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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)