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17.
 
 
 

For each of the problems listed, determine the following quantities for each activity: the earliest start time, latest start time, earliest finish time, latest finish time, and slack time. List the critical activities, and determine the expected duration of the project.

   
 

a.
 

Activity-on-arrow diagram


     

 

Summary:     
Activity        ES            EF            LF           LS          Slack  
1–2        [removed]  [removed]  [removed]  [removed]  [removed]  
2–4        [removed]  [removed]  [removed]  [removed]  [removed]  
4–7        [removed]  [removed]  [removed]  [removed]  [removed]  
7–10        [removed]  [removed]  [removed]  [removed]  [removed]  
10–12        [removed]  [removed]  [removed]  [removed]  [removed]  
2–5        [removed]  [removed]  [removed]  [removed]  [removed]  
5–8        [removed]  [removed]  [removed]  [removed]  [removed]  
8–10        [removed]  [removed]  [removed]  [removed]  [removed]  
1–3        [removed]  [removed]  [removed]  [removed]  [removed]  
3–6        [removed]  [removed]  [removed]  [removed]  [removed]  
6–9        [removed]  [removed]  [removed]  [removed]  [removed]  
9–11        [removed]  [removed]  [removed]  [removed]  [removed]  
11–12        [removed]  [removed]  [removed]  [removed]  [removed]  

   
 

b.
 

Activity-on-node diagram

      

 

   Summary:     
  Activity     ES     EF    LF     LS     Slack
1[removed]  [removed]  [removed]  [removed]  [removed]  
2[removed]  [removed]  [removed]  [removed]  [removed]  
3[removed]  [removed]  [removed]  [removed]  [removed]  
4[removed]  [removed]  [removed]  [removed]  [removed]  
5[removed]  [removed]  [removed]  [removed]  [removed]  
6[removed]  [removed]  [removed]  [removed]  [removed]  
7[removed]  [removed]  [removed]  [removed]  [removed]  
8[removed]  [removed]  [removed]  [removed]  [removed]  
9[removed]  [removed]  [removed]  [removed]  [removed]  

    
c.
 

ActivityImmediate
Predecessor		Estimated Time (days)
A—15                
BA12                
CB6                
DB5                
EC3                
F—8                
GF8                
HF9                
IG7                
JH14                
KJ6                
EndD, E, I, K  

   
 

   Summary:     
  Activity    ES    EF   LF   LS    Slack
A[removed]  [removed]  [removed]  [removed]  [removed]  
B[removed]  [removed]  [removed]  [removed]  [removed]  
C[removed]  [removed]  [removed]  [removed]  [removed]  
E[removed]  [removed]  [removed]  [removed]  [removed]  
D[removed]  [removed]  [removed]  [removed]  [removed]  
F[removed]  [removed]  [removed]  [removed]  [removed]  
G[removed]  [removed]  [removed]  [removed]  [removed]  
I[removed]  [removed]  [removed]  [removed]  [removed]  
H[removed]  [removed]  [removed]  [removed]  [removed]  
J[removed]  [removed]  [removed]  [removed]  [removed]  
K[removed]  [removed]  [removed]  [removed]  [removed]  
 
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