3. Consider a project having the following activities, time, and cost:

Normal Normal Crash Crash Maximum

Immediate Time Cost Time Cost Time

Activity Predecessors (weeks) ($) (weeks) ($) Reduced

a none 4 3,000 2 5,000 2

b a 5 5,000 3 8,000 2

c a 4 7,000 4 7,000 0

d b 4 6,000 2 8,000 2

e c,d 8 4,000 6 8,000 2

f c 3 4,000 2 9,000 1

g e,f 4 2,000 2 7,000 2

Assume partial crashing (not all maximum crashing time has to be used) is available.

1. Draw the network diagram. How long does project take using normal time?
2. Which activities should be crashed to reduce the completion time of the project by two weeks? How much is the additional cost? Show all work.