Share same Valuation Structure and Unit across Cost Book and Profile

Summary:

Is it possible to reuse the same Valuation Structure and Valuation Units for 2 different Cost Profiles+Cost Books?

Content (please ensure you mask any confidential information):

Current scenario consists in 2 Cost Methods:

1 Standard -> tied to the Primary Ledger

2 Average -> ledgerless

Each one with its own Cost Book associated to the Cost Organization.

The Cost Organization has 5 Inventory Organizations under it, 3 plants, 2 warehouses.

Valuation Structure is at CostOrg-InvOrg. Currently we have 1 Valuation Unit per Inventory Organization so system can show us the Unit Cost per each Inventory Organization.

Question:

Do we need to create 1 Valuation Unit per Inventory Organization per Cost Method? In this case totalling 10 Valuation Units.