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Consider the following table of activities, completion times and predecessors

Consider the following table of activities, completion times and predecessors

Consider
the following table of activities, completion times and predecessors

Activity

Optimistic

Most Likely

Pessimistic

Predecessor

A

5

5

11

B

6

9

12

C

2

3

4

D

3

6

9

A

E

3

4

5

B,C

F

6

9

12

B

G

9

13

17

D,F

H

4

7

10

E

I

7

9

17

E

J

2

3

10

G

K

10

15

20

G

L

5

7

9

I,K

M

6

6

12

H,I

N

6

10

14

H,I

O

4

8

12

L,M,N

P

8

12

16

J,K

Q

14

18

28

O,P

R

10

13

22

Q

Determine
the expected completion time for each activity. (15 points)

Draw
the network diagram for this project. (15 points)

Determine
the expected completion time for this project, in days. (15 points)

Which
activities are on the critical path? (15 points)

Which
activities have slack? How much slack do these activities have? (15
points)

A
project to build a new bridge seems to be going very well since the project is
well ahead of schedule and costs seem to be running very low. A major milestone
has been reached where the first two activities have been totally completed and
the third activity is 60% complete. The planners were only expecting to be 50%
through the third activity at this time. The first activity involves prepping
the site for the bridge. It was expected to cost $1420000 and it was done for
only $1300000. The second activity was the pouring of the concrete. This was
expected to cost $10500000 but was actually done for $9000000. The third and
final activity is the actual construction of the bridge superstructure. This
was expected to cost a total of $8500000. To date they have spent $5000000 on
the superstructure. Calculate the cost and schedule variance and the schedule
and cost performance indexes for the project.

Extra Credit (20 points)

Suppose
you have a performance clause in your contract that says that you must
complete the project within 96 days or incur a severe penalty. What is the probability that you will
complete the project within 96 days?

Consider
the following table of activities, completion times and predecessorsActivityOptimisticMost LikelyPessimisticPredecessorA5511B6912C234D369AE345B,CF6912BG91317D,FH4710EI7917EJ2310GK101520GL579I,KM6612H,IN61014H,IO4812L,M,NP81216J,KQ141828O,PR101322QA
project to build a new bridge seems to be going very well since the project is
well ahead of schedule and costs seem to be running very low. A major milestone
has been reached where the first two activities have been totally completed and
the third activity is 60% complete. The planners were only expecting to be 50%
through the third activity at this time. The first activity involves prepping
the site for the bridge. It was expected to cost $1420000 and it was done for
only $1300000. The second activity was the pouring of the concrete. This was
expected to cost $10500000 but was actually done for $9000000. The third and
final activity is the actual construction of the bridge superstructure. This
was expected to cost a total of $8500000. To date they have spent $5000000 on
the superstructure. Calculate the cost and schedule variance and the schedule
and cost performance indexes for the project.Extra Credit (20 points)

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