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Decision Lab · Dependency, float and critical-path change

A delay can change which path controls

Recalculate both complete paths. Do not add an activity delay directly to project duration.

Original case · Suggested 15 minutes · Edition 2026-10-12.1

By the end of this workshop

  • Choose a method that respects the supplied conditions.
  • Explain how a changed condition affects the decision.
  • Identify a physical or procedural cross-check and an applicability limit.
  • Record the assumption you would verify next time.

Start with the complete model

Givens and assumptions

  • Original network: A precedes B and C; D starts only when both B and C finish. No resource constraints or calendars alter the network.
  • Durations in working days: A = 3, B = 7, C = 6, D = 4. All activities use finish-to-start dependencies.
Study calculator, scratch notepad and whiteboard

Supports +, −, *, /, ^, parentheses, sqrt, abs, log (base 10), ln, sin, cos, tan, pi and e. Confirm units independently.

Scratch text and drawings stay in this tab and clear when you leave or reload. Save important reasoning in a response or reflection below before leaving.

Scratch whiteboard

Sketch a control volume or air path with a mouse, pen or touch. Ink stays in this page session and clears on reload. Use the response and reflection fields as a keyboard alternative. Sign in before starting and save a reflection to retain your reasoning.

1 · Choose the method

For A = 3, B = 7, C = 6 and D = 4 with D waiting for both branches, what completion time governs?

Choose one response

2 · Change the condition

Predict before you inspect the calculation.

C's duration becomes nine working days; all dependencies and other durations remain.

  • A precedes parallel B and C; D waits for both. Durations A = 3, B = 7, C = 9, D = 4 working days; no resource/calendar changes.

Check the first decision to open the changed-condition response.

Personal notes are not automatically graded. Workshops are linked learning experiments, separate from timed diagnostics and mocks. They do not predict a pass or award instructional hours.

Reference navigation drill

Search concept: critical path, total float

Write the two complete paths before comparing them. Explain why the shortest path does not govern whole-project completion.

Use an authorized reference. A search term does not guarantee that a current examination reference contains every relationship used in this teaching case.

Where this model stops

Original simplified dependency network; real schedules also need calendars, resource limits and actual progress.

Found an unclear condition or calculation? Include workshop critical-path-switch and the step in your comment.

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