Question: a. Develop a network for this project. b. Compute the earliest and latest starting and finish times for each of the activities. Find the slack

a. Develop a network for this project.

b. Compute the earliest and latest starting and finish times for each of the activities. Find the slack

time for each activity and identify the critical path.

c. Find the optimal number of days to perform the project by expediting one day at a time. What is the total project cost of the optimal solution?

Activity

Immediate Predecessors

Normal Time (day)

Expedited Time (day)

Normal Cost $

Expedite Cost $

Crash Cost per period to calculate

A

None

6

6

200

200

B

A

10

4

600

1000

C

A

12

9

625

1000

D

B

6

5

700

800

E

B

9

7

200

500

F

C,D

9

5

400

840

G

E

14

10

1000

1440

H

E,F

10

8

1100

1460

Note: 1. the formula to calculate crash cost per period is equal to

(crash cost normal cost)/(normal time crash time)

2. If the normal time is equal to the expedited time the normal cost is equal to expedite cost. This means that those activities cannot be crashed.

3. If one (or more) activity is (are) not an immediate predecessor(s) to any other activity, this activity (is) is (are) going to the end.

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