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Critical Path Analysis · Part 3 of 3
3 exam-style questions with model answers, plus 4 quick multi-choice questions — every question on this part of the standard, grouped by the 1 page of notes they come from.
Write a full answer before you reveal the model one. That comparison is where the learning happens.
A project takes 30 days with critical path P → Q → R. The manager shortens activity S (which has 4 days of float) by 3 days at a cost of $1,500. What is the new project duration, and was the money well spent?
A project has paths: A→B→C = 20 days, A→D→C = 17 days, A→E→C = 14 days. Activity B (8 days) can be shortened by up to 5 days at $300 per day, and A (4 days) by up to 2 days at $800 per day. Find the shortest achievable duration and its cost, explaining how the critical path changes.
A project's earliest-start schedule requires 2 workers on days 1–4, 5 on days 5–8 and 1 on days 9–12, but only 3 workers are available. Activities on days 5–8 comprise a critical activity needing 2 workers and two non-critical activities needing 2 and 1 workers, with 3 and 6 days of total float respectively. Devise a feasible schedule, and analyse what the resource limit costs the project.