Question: The critical path for the network activities shown below is ________ with duration ________. Activity Duration Immediate Predecessors A 2 -- B 4 -- C

The critical path for the network activities shown below is ________ with duration ________.

Activity

Duration

Immediate

Predecessors

A

2

--

B

4

--

C

6

A,B

D

1

A,B

E

2

B,C,D

Activity

Preceding

Optimistic

Probable

Pessimistic

A

--

5

11

14

B

-

3

3

9

C

--

6

10

14

D

A, B

3

5

7

E

B

4

6

11

F

C

6

8

13

G

D, E

2

4

6

H

F

3

3

9

a. Calculate the expected duration and variance of each activity.

b. Calculate the expected duration and variance of the critical path.

c. Calculate the probability that the project will be completed in less than 28 weeks.

Three critical path activities are candidates for crashing on a CPM network. Activity details are in the table below.

Activity

Normal Time

Normal Cost

Crash Duration

Crash Cost

X

8 days

$6,000

6 days

$8,000

Y

3 days

$1,800

2 days

$2,400

Z

12 days

$5,000

9 days

$7,700

a. What is the crash cost per unit time for each of the three activities?

b. Which activity should be crashed first to cut one day from the project's duration; how much is added to project cost?

c. Which activity should be the next activity crashed to cut a second day from the project's duration; how much is added to project cost?

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