# Quantities

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 1Ã¢â‚¬â€œ2 [removed] [removed] [removed] [removed] [removed] 2Ã¢â‚¬â€œ4 [removed] [removed] [removed] [removed] [removed] 4Ã¢â‚¬â€œ7 [removed] [removed] [removed] [removed] [removed] 7Ã¢â‚¬â€œ10 [removed] [removed] [removed] [removed] [removed] 10Ã¢â‚¬â€œ12 [removed] [removed] [removed] [removed] [removed] 2Ã¢â‚¬â€œ5 [removed] [removed] [removed] [removed] [removed] 5Ã¢â‚¬â€œ8 [removed] [removed] [removed] [removed] [removed] 8Ã¢â‚¬â€œ10 [removed] [removed] [removed] [removed] [removed] 1Ã¢â‚¬â€œ3 [removed] [removed] [removed] [removed] [removed] 3Ã¢â‚¬â€œ6 [removed] [removed] [removed] [removed] [removed] 6Ã¢â‚¬â€œ9 [removed] [removed] [removed] [removed] [removed] 9Ã¢â‚¬â€œ11 [removed] [removed] [removed] [removed] [removed] 11Ã¢â‚¬â€œ12 [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.

 Activity ImmediatePredecessor Estimated Time (days) A Ã¢â‚¬â€ 15 B A 12 C B 6 D B 5 E C 3 F Ã¢â‚¬â€ 8 G F 8 H F 9 I G 7 J H 14 K J 6 End D, 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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