Critical paths and floatEdexcel A-Level Further Maths: Mind map

Exam questions on Critical paths and float

1. A project has eight activities. Each activity, its duration in days and its immediate predecessors are: A 4 (none); B 6 (none); C 5 (A); D 3 (A, B); E 7 (B); F 4 (C, D); G 2 (D, E); H 3 (F, G). The earliest start time of an activity is the earliest time at which all of its predecessors are complete.
   Find the total float of activity C.2 marks
2. A project has seven activities. Each activity, its duration in days and its immediate predecessors are: A 3 (none); B 5 (none); C 4 (A); D 2 (A); E 6 (B, C); F 3 (D); G 4 (E, F). Each activity needs one worker.
   Find the total float of activity D.2 marks
3. A project has seven activities. Each activity, its duration in days and its immediate predecessors are: A 5 (none); B 3 (none); C 4 (A); D 6 (A, B); E 2 (B); F 5 (C, D); G 4 (D, E). Activities start as soon as they can.
   Carry out a forward pass to find the earliest start time of each activity. State the minimum project completion time and the critical activities.3 marks