Question: Consider a project network with five activities, their normal durations, their shortest possible durations (which can be achieved at extra cost), & the acceleration cost
Consider a project network with five activities, their normal durations, their shortest possible durations (which can be achieved at extra cost), & the acceleration cost per time unit.
| Activity | Immediate predecessor(s) | Normal duration (in days) | Shortest possible duration (in days) | Unit cost of acceleration |
| A | - | 6 | 3 | 80 |
| B | C | 3 | 2 | 40 |
| C | A | 2 | 1 | 50 |
| D | C | 4 | 2 | 20 |
| E | B, C | 1 | 1 |
(a) Draw the network, determine the critical path (use the forward & backward recursion as discussed in class & then calculate the total floats), & calculate the duration of the project. Which of the activities are critical?
(b) Accelerate the project by one day. Clearly indicate which activity/combinations of activities could be accelerated in order to speed up the project (list all possibilities), & then indicate which activity or activities should be accelerated. What are the associated costs?
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