Question

In: Operations Management

Three recent college graduates have formed a partnership and have opened an advertising firm. Their first...

Three recent college graduates have formed a partnership and have opened an advertising firm. Their first project consists of activities listed in the following table. Use Table B.

TIME IN DAYS
Activity Immediate
Predecessor
Optimistic Most Likely Pessimistic
A 5 6 7
B 8 8 11
C A 6 8 11
D 9 12 15
E C 5 6 9
F D 5 6 7
G F 2 3 7
H B 4 4 5
I H 5 7 8
End E, G, I


b.
What is the probability that the project can be completed in 24 days or less? In 21 days or less? (Round your te and z values to 2 decimal places and "Standard deviation" to 3 decimal places. Round your final answers to 4 decimal places.)

Days Probability
24 days or less 0.9685
21 days or less


c.
Suppose it is now the end of the seventh day and that activities A and B have been completed while activity D is 50 percent completed. Time estimates for the completion of activity D are 5, 6, and 7. Activities C and H are ready to begin. Determine the probability of finishing the project by day 24 and the probability of finishing by day 21. (Round your intermediate calculations to 3 decimal places and final answers to 4 decimal places.)

Probability
Day 24
Day 21 0.0179

Solutions

Expert Solution

Solution :

Part B :

Part C :


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