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 # CORPUS-0011
 ## Round-Trip Cart Value
 ### Status: Training Corpus Seed
 ### Layer: Layer_1--Worked_Examples
 ### Purpose: Teach that transport capacity may create value in both directions, and that a route should not always be evaluated as a one-way movement
 ### Repository Path: docs/training/corpus/Layer_1--Worked_Examples/CORPUS-0011-round-trip-cart-value.md
 ---
 ## 0. Scenario
 A trader in Ostia wants to send goods to Capua.
 A cart from Capua has already arrived in Ostia carrying raw material.
 The cart must return to Capua.
 If the trader can load the return trip, the cart owner avoids travelling empty, and the trader may obtain better terms.
 The same physical journey can carry value in both directions.
 ---
 ## 1. One-Way Assumption
 A weak model may treat transport as a simple one-way purchase:
 ```text
 Ostia -> Capua cart hire = 10 asses
 ```
 If the trader must pay the whole hire, the cost may erase profit.
 But if the cart already needs to return to Capua, the trader may only need to pay for unused return capacity.
 The cart's prior movement matters.
 ---
 ## 2. Known Facts
 | Fact | Value |
 |---|---:|
 | Cart origin | Capua |
 | Cart current location | Ostia |
 | Cart must return to Capua | yes |
 | Normal one-way hire Ostia -> Capua | 10 asses |
 | Reduced return-leg rate | 5 asses |
 | Trader's cargo value in Ostia | 20 asses |
 | Expected sale value in Capua | 32 asses |
 | Other handling costs | 3 asses |
 ---
 ## 3. One-Way Calculation
 If the trader pays full one-way hire:
 ```text
 purchase value:      20 asses
 cart hire:           10 asses
 other handling:       3 asses
 ------------------------------
 total cost:          33 asses
 sale value:          32 asses
 result:              1 as loss
 ```
 The venture fails by arithmetic.
 ---
 ## 4. Return-Leg Calculation
 If the trader uses the cart's required return trip:
 ```text
 purchase value:      20 asses
 return-leg rate:      5 asses
 other handling:       3 asses
 ------------------------------
 total cost:          28 asses
 sale value:          32 asses
 result:              4 asses profit
 ```
 The same cargo and destination become viable because transport capacity was already moving.
 ---
 ## 5. Why The Cart Owner Accepts
 The cart owner may accept the reduced return-leg rate because:
 - the cart must return to Capua anyway
 - empty return earns nothing
 - the load offsets animal feed and driver time
 - the trader pays promptly
 - the trader may offer repeat business
 - the cargo is easy to handle
 The reduced rate is not generosity.
 It is shared use of existing movement.
 ---
 ## 6. Round-Trip Exchange Variant
 The arrangement may include value in both directions:
 ### Capua -> Ostia
 The cart brings:
 - raw timber
 - wool
 - charcoal
 - agricultural goods
 - workshop material
 ### Ostia -> Capua
 The cart returns with:
 - oil
 - imported goods
 - tools
 - household supplies
 - finished stock
 - letters or documents
 Each leg may serve a different party.
 The trader may profit not by owning the cart, but by understanding that the cart should not return empty.
 ---
 ## 7. Household Supply Variant
 The return cargo may not all be market cargo.
 A Capua cart owner may ask to carry supplies for his household:
 - oil
 - fish sauce
 - cloth
 - tools
 - small luxury items
 - medicines or prepared goods
 These goods may partly settle the transport agreement.
 This creates a mixed exchange:
 ```text
 cash payment
 + goods carried for household use
 + future hauling preference
 ```
 The model should not treat household supply as irrelevant.
 It can be part of the transport bargain.
 ---
 ## 8. Risks Of Linked Legs
 A round-trip arrangement can fail because either leg fails.
 Risk examples:
 - inbound cargo arrives late
 - cart needs repair before return
 - animals are tired
 - driver changes terms after arrival
 - outbound cargo is not ready
 - return cargo is heavier than expected
 - goods for household use are disputed in value
 - delay on first leg destroys profit on second leg
 A round-trip plan may reduce cost, but it increases dependency between events.
 ---
 ## 9. Correct Model Behavior
 The model should ask:
 - does the cart need to return anyway?
 - is return capacity empty?
 - who controls the cart?
 - what did the cart carry inbound?
 - what can it carry outbound?
 - does return cargo reduce effective transport cost?
 - are cash, goods, and future obligations combined?
 - what risks link the two legs?
 Transport is not only a price.
 It is moving capacity across time and direction.
 ---
 ## 10. Incorrect Model Behavior
 The model should not:
 - treat every cart hire as isolated one-way cost
 - ignore why the cart is already in Ostia
 - ignore empty return capacity
 - ignore household supply as value
 - assume reduced rate is unexplained discount
 - ignore linked-leg risk
 - calculate each leg without considering the whole movement
 ---
 ## 11. Layer-0 Concepts Used
 This example uses:
 - `CORPUS-0001-trade-requires-two-locations`
 - `CORPUS-0004-cost-includes-more-than-purchase-price`
 - `CORPUS-0005-profit-is-sale-minus-total-cost`
 - `CORPUS-0006-delay-is-economic-cost`
 - `CORPUS-0009-liquidity-differs-from-wealth`
 - `CORPUS-0013-non-coin-settlement-exists`
 - `CORPUS-0018-rivalry-changes-conditions`
 ---
 ## 12. Success Condition
 If the model sees a cart moving between two cities and asks whether both directions can carry value before calculating transport cost, this file is functioning correctly.