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 Immediate Activity Predecessor NAVR End Days 24 days or less 21 days or less T R E, G, I Day 24 Day 21 Optimistic Probability 9 Click here for the Excel Data File a. What is the probability that the project can be completed in 24 days or less? In 21 days or less? (Round your t, and z values to 2 decimal places and "Standard deviation to 3 decimal places. Round your final answers to 4 decimal places.) TIME IN DAYS Most Likely Pessimistic 7 Probability 12 11 11 15 b. 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)

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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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.
Activity
******]
End
TIME IN DAYS
Immediate
Predecessor Optimistic Most Likely Pessinistic
7
Days
24 days or less
21 days or less
T
B
H
E, G,
Day 24
Day 21
Click here for the Excel Data File
a. What is the probability that the project can be completed in 24 days or less? In 21 days or less? (Round your t, and z values to 2
decimal places and "Standard deviation to 3 decimal places. Round your final answers to 4 decimal places.)
Probability
12
11
15
b. 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
Transcribed Image Text: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. Activity ******] End TIME IN DAYS Immediate Predecessor Optimistic Most Likely Pessinistic 7 Days 24 days or less 21 days or less T B H E, G, Day 24 Day 21 Click here for the Excel Data File a. What is the probability that the project can be completed in 24 days or less? In 21 days or less? (Round your t, and z values to 2 decimal places and "Standard deviation to 3 decimal places. Round your final answers to 4 decimal places.) Probability 12 11 15 b. 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
as
c. The partners have decided that shortening the project by two days would be beneficial. They have estimated the daily crashing
costs for each activity in thousands, as shown in the following table. Which activities should be crashed?
Activity
C
First Crash Second Crash
18
$10
$10
$11
$9
$10
87
48
$7
36
First Activity to Crash
Second Set of Activities to Crash
$9
19
11
18
Transcribed Image Text:as c. The partners have decided that shortening the project by two days would be beneficial. They have estimated the daily crashing costs for each activity in thousands, as shown in the following table. Which activities should be crashed? Activity C First Crash Second Crash 18 $10 $10 $11 $9 $10 87 48 $7 36 First Activity to Crash Second Set of Activities to Crash $9 19 11 18
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