Gantt charts, resource histograms and levellingAQA A-Level Further Maths: Mind map

Exam questions on Gantt charts, resource histograms and levelling

1. A project has seven activities. Activity A takes 4 days and has no predecessor. B takes 3 days and has no predecessor. C takes 5 days and follows A. D takes 2 days and follows both A and B. E takes 6 days and follows C. F takes 3 days and follows D. G takes 2 days and follows both E and F.
   A cascade (Gantt) diagram is drawn with every activity starting as early as possible. For activity F, state the day on which its bar ends and the length of the float drawn after it.2 marks
2. A project is planned with every activity starting at its earliest time. P runs from day 0 to day 3 and needs 2 workers. Q runs from day 0 to day 4 and needs 3 workers. R runs from day 3 to day 5 and needs 2 workers. S runs from day 4 to day 7 and needs 4 workers. T runs from day 5 to day 7 and needs 2 workers. Each worker is paid for every day on which they are needed.
   The firm employs only 5 workers. State the period during which the schedule needs more than 5 workers, and by how many it is short.2 marks
3. A project consists of seven activities, each needing one worker. Durations are in days. A takes 5 days and has no predecessor. B takes 3 days and has no predecessor. C takes 4 days and follows A. D takes 6 days and follows A. E takes 2 days and follows B. F takes 3 days and follows both C and E. G takes 4 days and follows both D and F.
   Find the minimum completion time and list the critical activities.3 marks