{
  "example_kind": "original synthetic manual planning case",
  "slug": "backward-planning-latest-start",
  "title": "Work backward from a fixed review checkpoint",
  "scenario": "Synthetic planning case: A finished proof is needed at model day ten. Layout takes three days, review two and final export one, with no overlap and all input ready at start.",
  "layout": "network",
  "dataset": {
    "heading": "Inspect the invented case records",
    "headers": [
      "Activity",
      "Duration",
      "Latest model window"
    ],
    "rows": [
      [
        "Layout",
        "3 days",
        "Day 4–7"
      ],
      [
        "Review",
        "2 days",
        "Day 7–9"
      ],
      [
        "Export",
        "1 day",
        "Day 9–10"
      ]
    ]
  },
  "derivation": "Latest start=10−1−2−3=4. Backward windows preserve the required sequence and the fixed day-ten receiving checkpoint.",
  "result": "The chain must start no later than day four under this model: layout ends seven, review ends nine and export ends ten.",
  "boundary": "This calculates a latest start from a stated receiving endpoint and complete sequential obligations.",
  "limitations": "Backward arithmetic identifies a latest feasible model start, not a risk-adjusted or guaranteed delivery plan.",
  "sources": [
    "schedule"
  ],
  "tasks": [
    [
      "Confirm the receiving finish boundary",
      "Proof receiver",
      "Day ten requires the exported accepted proof, not only completed layout."
    ],
    [
      "Subtract every required stage",
      "Scheduler",
      "Three, two and one model days appear in the backward plan."
    ],
    [
      "Verify readiness at latest start",
      "Delivery owner",
      "All inputs and resources are actually available by day four before treating it as a commitment."
    ]
  ],
  "faqs": [
    [
      "Is day four a safe start date?",
      "Only within these deterministic assumptions; uncertainty or unavailable resources may require a different plan."
    ],
    [
      "Can I omit export because it is short?",
      "No. The finish boundary requires it, and its one day is part of the chain."
    ]
  ],
  "method_references": [
    {
      "id": "schedule",
      "title": "GAO Schedule Assessment Guide",
      "url": "https://www.gao.gov/products/gao-16-89g",
      "scope": "General schedule-model context. All records, local policies and arithmetic are original toy examples, not a certified or optimized schedule."
    }
  ]
}