Question: Consider the project described by the table below where all durations are in days and, the normal and crash costs are in Ghana Cedis. In
Consider the project described by the table below where all durations are in days and, the normal and crash costs are in Ghana Cedis. In addition, there is a fixed cost of GHS1000 for each day on site.
| Activity Code | Activity | Predecessor | Normal Time | Normal Cost (GHS) | Crash Time | Crash Cost (GHS) |
| 1 | A | None | 2 | 6,000 | 2 | 7,000 |
| 2 | B | None | 13 | 7,000 | 10 | 8,500 |
| 3 | C | None | 19 | 8,000 | 15 | 9,900 |
| 4 | D | A | 18 | 6,000 | 15 | 8,100 |
| 5 | E | B | 13 | 8,000 | 11 | 10,200 |
| 6 | F | C | 10 | 10,000 | 9 | 11,000 |
| 7 | G | D | 18 | 8,500 | 14 | 11,000 |
| 8 | H | E | 6 | 9,000 | 5 | 10,000 |
| 9 | I | F | 4 | 15,000 | 3 | 16,500 |
| 10 | J | G | 13 | 12,000 | 12 | 12,400 |
| 11 | K | H,I | 15 | 6,700 | 13 | 8,000 |
| 12 | L | J,K | 4 | 2,000 | 4 | 2,000 |
For the questions that follow, use the activity codes in place of the activity. For instance, activity B should be written as activity 2. That is, 2 stands for B. Thus, a critical path of say, CBJ must be written as 3210 in the space provided.
Note: All answers must be in numeric form, This is why activities are given number codes.
i. If activity K were to be delayed by 4 days, then the project will be delayed by _____________________ day(s).
ii. If activity K is delayed by four days as in question (i) above, then the project cost will be GHS _______________________ .
iii. The project completion time is ____________________ days.
iv. The number of days for which activity F could be delayed without delaying the project is ___________________ days.
v. The total cost of the project within the normal time frame is GHS ___________________.
vi. If the project manager would want to save cost by taking advantage of the daily indirect cost, then the earliest permissible time the project would be completed is in __________________ days.
vii. The total cost of the project if the project manager undertakes the action in question (vi) is GHS _________________________ .
viii. If the project has to be completed in 47 days, then the activity/activities to crash when on day 48 in order to achieve the 47 days (using activity codes, and listing the smallest first) is _______________________ . For example, if the activities to crash to get to day 47 when on day 48 is C,I, provide the answer as 39.
ix. The minimum total cost of the project if it has to be completed in 47 days through crashing is GHS ________________________________. .
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