# Kenji's Ticket-Tier Divergence &mdash; Chapter 4 Worked Example

> Twelve months of tier-2 support ticket volume and mean resolution time behind Kenji&rsquo;s Wednesday-mid-morning chart-family rebuild in Chapter 4 of *The Defensible Decision*. Nine months pre-automation, three months post-automation, one Big Idea about divergence.

**Wholly synthetic.** Any resemblance to a specific real support-operations dataset is coincidental; the numbers are constructed so pre-vs-post-automation averages land on the ~19%/34% split the Big Idea cites.

## Files

- [`kenji-ticket-tiers.csv`](kenji-ticket-tiers.csv) &mdash; flat rows: one row per month with volume, resolution hours, and pre/post window tag
- [`kenji-ticket-tiers.json`](kenji-ticket-tiers.json) &mdash; canonical scenario contract with source hash

## What it represents

Twelve months (Jul&ndash;Jun, fiscal-year order) of support tier-2 ticket volume and mean resolution time. March marks the tooling-automation go-live boundary. The pre-automation window (9 months, Jul&ndash;Mar) shows tier-2 volume averaging ~1290 tickets/month at ~3.3 hours mean resolution time; the post-automation window (3 months, Apr&ndash;Jun) shows tier-2 volume dropping to ~1050 tickets/month while resolution time climbs to ~4.4 hours. Chapter 4 uses the dataset to contrast Kenji&rsquo;s Copilot-produced stacked-area chart (four tier series stacked on one canvas; divergence hidden inside the stack) with the rebuild as small-multiples (tier-2 volume in one panel, tier-2 resolution time in another, both on the same nine-month x-axis; divergence between the two lines IS the argument).

## Invariants (locked)

The scenario carries executable invariants that Chapter 4&rsquo;s release contract enforces:

- Exactly 12 months in fiscal-year order (Jul, Aug, ..., Jun).
- Pre-automation window is 9 months (Jul&ndash;Mar); post-automation window is 3 months (Apr&ndash;Jun); automation month is March.
- Tier-2 volume drops ~19% pre-vs-post automation (measured pre-avg vs post-avg).
- Tier-2 mean resolution time rises ~34% pre-vs-post automation (same measurement).
- Big Idea text names both trends verbatim and cites both percentages.
- `stacked_area_failure` state declares 4 series and `argument_visible_in_five_seconds: false`.
- `small_multiples_rebuild` state declares 2 panels and `argument_visible_in_five_seconds: true`.

## Why the invariants matter

Chapter 4&rsquo;s pedagogical point is that chart-family choice is downstream of the argument shape. If pre-vs-post volume drop landed at 5% or 40%, the &laquo;divergence&raquo; framing would soften or overreach. If the resolution-time climb were smaller than the volume drop, the &laquo;team eaten by harder tickets&raquo; frame would collapse. Locking the two percentages keeps the argument stable across the print figure, the practice-page solutions, and any downstream teaching material.

## What it does NOT represent

- A specific real support-operations tooling rollout.
- Tier-1, tier-3, or escalation volumes (the chapter contrasts one stacked-area chart with the rebuild; other tiers are noted in the scene but not modelled).
- The tooling vendor&rsquo;s own metrics (the story is about Kenji&rsquo;s analysis discipline, not the tool).

## Reproducibility

The dataset ships from the book source at `AlexBooks/applied-ai/ai-directed-viz/data/kenji-ticket-tiers.json` and is re-emitted here by `AlexBooks/applied-ai/ai-directed-viz/scripts/generate-kenji-tiers.mjs --site-root <site-root>`. The generator writes the source SHA-256 into `kenji-ticket-tiers.json` so drift between the book and this site is detectable.

## License

Released for teaching use alongside *The Defensible Decision*. Use freely.
