Resource histograms and schedulingEdexcel A-Level Further Maths: Mind map

Exam questions on Resource histograms and scheduling

1. A project has six activities. Each activity, its duration in days, the number of workers it needs and its immediate predecessors are: A 3 days, 2 workers (none); B 4 days, 1 worker (none); C 2 days, 3 workers (A); D 3 days, 2 workers (B); E 4 days, 2 workers (A); F 2 days, 4 workers (C, D, E). Every activity starts as soon as it can, and the project takes 9 days.
   State which activities are in progress when the greatest number of workers is needed, and the time interval for which this happens.2 marks
2. A project has six activities. Each activity, its duration in days, the number of workers it needs and its immediate predecessors are: A 3 days, 2 workers (none); B 4 days, 3 workers (none); C 2 days, 2 workers (A); D 5 days, 1 worker (A); E 3 days, 2 workers (B, C); F 2 days, 3 workers (D, E). Every activity starts as soon as it can, and the project takes 10 days.
   State the greatest number of workers needed at any one time, and the time interval during which it occurs.2 marks
3. A project has seven activities, each needing one worker. 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). The minimum completion time of the project is 17 days, and the critical activities are A, C, E and G.
   Show that at least 2 workers are needed to complete the project in 17 days.3 marks