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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