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# CORPUS-0002
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## One-As Margin And Break-Even
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### Status: Training Corpus Seed
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### Layer: Layer_1--Worked_Examples
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### Purpose: Teach that a tiny sale margin can disappear once small costs, delay, or loss are counted
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### Repository Path: docs/training/corpus/Layer_1--Worked_Examples/CORPUS-0002-one-as-margin-and-break-even.md
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---
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## 0. Scenario
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A trader buys a small good in Ostia for 3 asses.
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He expects to sell it in Capua for 4 asses.
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At first glance, the venture appears profitable.
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The expected spread is only 1 as.
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A one-as margin is fragile.
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Almost any additional cost can erase it.
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---
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## 1. Known Facts
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| Fact | Value |
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|---|---:|
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| Origin | Ostia |
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| Destination | Capua |
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| Purchase price | 3 asses |
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| Expected sale price | 4 asses |
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| Gross spread | 1 as |
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---
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## 2. First Incorrect Calculation
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A weak model may calculate:
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```text
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4 asses - 3 asses = 1 as profit
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```
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This is incomplete.
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The calculation ignores every cost required to move, hold, protect, or sell the good.
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---
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## 3. Break-Even Point
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The trader breaks even only if total cost is 4 asses or less.
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```text
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sale value = 4 asses
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break-even total cost = 4 asses
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```
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Since the purchase price is already 3 asses, the trader can spend only 1 additional as before profit disappears.
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```text
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maximum additional cost before loss = 1 as
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```
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---
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## 4. Cost Variants
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### Variant A — No Added Cost
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```text
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purchase price = 3 asses
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sale value = 4 asses
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profit = 1 as
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```
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The venture succeeds.
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### Variant B — One Additional As
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```text
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purchase price = 3 asses
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handling = 1 as
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total cost = 4 asses
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sale value = 4 asses
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profit = 0
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```
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The venture breaks even.
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### Variant C — Two Additional Asses
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```text
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purchase price = 3 asses
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handling + delay = 2 asses
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total cost = 5 asses
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sale value = 4 asses
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loss = 1 as
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```
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The venture fails.
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---
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## 5. Why Small Margins Matter
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A small margin is not useless.
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It may still be acceptable if:
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- the trader is already sending a cart
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- the good fills unused space
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- the sale builds trust
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- the buyer may become a repeat contact
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- the good is part of a larger bundle
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- the trader has no better use for the coin
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But a small margin is dangerous if:
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- transport must be paid separately
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- storage is uncertain
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- delay is likely
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- the destination price is stale
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- the buyer may refuse
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- rivals may arrive first
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---
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## 6. Correct Model Behavior
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The model should reason:
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- a one-as spread is not automatically profit
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- break-even depends on total cost
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- tiny margins are fragile
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- low-value goods may still matter when bundled
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- context determines whether small gain is worth risk
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---
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## 7. Incorrect Model Behavior
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The model should not:
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- treat every positive spread as safe profit
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- ignore small costs because they look minor
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- assume one-as profit is always worth pursuing
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- assume tiny trades are meaningless
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- ignore bundling, repeat contact, or unused capacity
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---
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## 8. Layer-0 Concepts Used
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This example uses:
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- `CORPUS-0002-goods-have-local-prices`
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- `CORPUS-0003-money-has-purchasing-power`
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- `CORPUS-0004-cost-includes-more-than-purchase-price`
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- `CORPUS-0005-profit-is-sale-minus-total-cost`
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- `CORPUS-0006-delay-is-economic-cost`
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- `CORPUS-0012-every-venture-risks-loss`
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---
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## 9. Success Condition
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If the model sees a one-as spread and immediately asks whether total cost leaves any margin, this file is functioning correctly.
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