assuming the earliest starting time for a b and c is zero. please explain each p

Question

assuming the earliest starting time for a b and c is zero. please explain each part thanks!

1. In a given project network, each activity has the same format (cells)a Earliest Start Time ( EST) Latest Start Timel LST) Activity i Earliest Finish Time (EFT) Duration t' | Latest Finish Time (LFT) Fill the empty cells in the group below and highlight the critical path. Start Finish a. What is the project completion time? b. If activity D finishes at time &, will the project be delayed? c. If activity E duration was reduced to 4, would the project completion time decrease?

Explanation / Answer

Early start of A = 0

Early finish of A = 0 + 3 (3)

Early start of B = 0

Early finish of B = 0+4 ( 4)

early start of C = 0

early finish of C = 0 + 2 ( 2)

early start of D = max early finish of A,B ( 4)

early finish of D = 4 + 3 ( 7)

early start of E = max early finish of A,C ( 3)

early finish of E = 3+ 5 ( 8)

early start of F = early finish of D ( 7)

early finish of F = 7 + 6 ( 13)

early start of G = early finish of D ( 7)

early finish of G = 7 + 5 ( 12)

early start of H = early finish of E ( 8)

early finish of H = 8 + 4 ( 12)

Latest finish of H = 12

latest start of H = 12 - 4 ( 8)

Latest finish of G = 12

latest start of G = 12 - 5 ( 7)

latest finish of F = 13

latest start of F = 13 - 6 ( 7)

latest finish of E = latest start of H (8)

latest start of E = 8 - 5 ( 3)

latest finish of D = minimum latest start of f,g ( 7)

latest start of D = 7 - 3 ( 4)

latest finish of C = latest start of E ( 3)

latest start of C = 3 - 2 ( 1)

latest finish of B = latest start of D ( 4)

latest start of B = 4 - 4 ( 0)

latest finish of A = minimum latest start of D , E ( 3)

latest start of A = 3 - 3 ( 0)

The critical path is A-B-D-E-F-G-H

The project completion time is the sum of the activity times of the critical path = 30

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If activity D finishes at time 8, the project will be delayed because the latest finish of activity D is 7 and activity D has no slack .

___________________________________________________________________________

If activity E is reduced to 4 , the project completion time will decrease as the new critical path will be B-D-F-G-H.

The project completion time will be = 22

Activity Early start Early finish Latest start Latest finish Slack A 0 3 0 3 0 B 0 4 0 4 0 C 0 2 1 3 1 D 4 7 4 7 0 E 3 8 3 8 0 F 7 13 7 13 0 G 7 12 7 12 0 H 8 12 8 12 0

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