Activity Description Predecessor Optimistic Minutes Required Most Pessimis Activity Likely a Drain Oil 3.5 --- Replace Filter A 2 В, Е 2.5 Refill Oil --- Check Tyres Wash E Windows С, F 0.5 Fill Fluids 1.5 5344t54 3331 2122 22 ABCAEEG

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question 1
At Tropico, the activities required to service a car at a dealer can be viewed as a mini-project
summarised in the following table:

 

 

 

 

 

 

 

The variability in times required to perform each activity is due to the different types, sizes, and
conditions of the cars to be serviced. Round off to two decimal places were fractional.
A. Draw the activity network diagram for this problem (either AON or AOA) (5 marks)
B. Determine the Expected Time and Variance for each activity. (4 marks)
C. Show the activity schedule (ES, EF, LS, and LF) as well as slack times. (5 marks)
D. Use the ES, EF, LS, and LF from your activity schedule or table to determine the critical
path for the project. (2 marks)
E. What are the expected time and the variance of the project? (2 marks)
F. What is the probability the project will be finished within 10 minutes? (2 marks)

 

 

 

 

 

 

Table 1: Activity Times and Predecessors
Minutes Required
Activity Description Predecessor Optimistic
Most
Pessimistic
Activity
Likely
a
b
m
Drain Oil
3.5
Replace
Filter
В, Е
2.5
Refill Oil
Check Tyres
3
4.
D
3.
Wash
E
Windows
С, F
3
4.
0.5
1
1.5
Fill Fluids
Final Test
1:4
534
212222
ABCAE FG
Transcribed Image Text:Table 1: Activity Times and Predecessors Minutes Required Activity Description Predecessor Optimistic Most Pessimistic Activity Likely a b m Drain Oil 3.5 Replace Filter В, Е 2.5 Refill Oil Check Tyres 3 4. D 3. Wash E Windows С, F 3 4. 0.5 1 1.5 Fill Fluids Final Test 1:4 534 212222 ABCAE FG
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