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Croton Enterprises has worked out the activities, duration and predecessors for its new project to make a new drink for the local Trinidad and Tobago

Croton Enterprises has worked out the activities, duration and predecessors for its new project to make a new drink for the local Trinidad and Tobago market and for export to the Caribbean market. It wants to launch this new product to coincide with the carnival period in Trinidad and Tobago.

A project consists of the following activities, predecessors and duration. Each activity has a finish to start relationship.

Activity Predecessor Duration
A - 4
B A 5
C - 9
D C 11
E B, D 6
F E 7
G FD 9
H G 8
I H 9

  1. Draw or Illustrate a network diagram based on the above
  2. List all paths with their durations and identify the critical path using the enumeration method- show all markings
  3. Show the forward and backward path through the network
  4. For each activity complete the following table
Activity Duration EST EFT LST LFT Total Float Critical Activity
A
B
C
D
E
F
G
H
I

Where EST is the activity's Earliest Start Time

Where LST is the activity's Latest Start Time

Where EFT is the activity's Earliest Finishing Time

Where LFT is the activity's Latest Finishing Time

5. Show the critical path using the forward and backward paths method. You may colour code it.

6. You have decided to reduce some activities: D from 11 to 7 C from 9 to 6 H from 8 to 3

Using the enumeration method and the above new durations mentioned, redo the paths and determine the critical path. It is not necessary to redraw the network, but use the new durations and outline the critical path- showing all workings? (5 marks)

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