Universal Inventory Formula

One formula for all inventory stages:

Out=Beginning+InEnding

Or equivalently (balance form):

Beginning+In=Ending+Out

Application at Each Stage

Same structure, different labels for "In" and "Out":

Stage Beginning + In − Ending = Out
Raw Materials Beg RM Purchases End RM Materials Used
Work in Process Beg WIP Total Mfg Costs End WIP COGM
Finished Goods Beg FG COGM End FG COGS

Expanded Formulas

Direct Materials Used:

DM Used=Beg RM+PurchasesEnd RM

Cost of Goods Manufactured:

COGM=Beg WIP+Total Mfg CostsEnd WIP

Where: Total Manufacturing Costs = DM Used + DL + MOH

Cost of Goods Sold:

COGS=Beg FG+COGMEnd FG

Example

Given Amount
Beginning WIP $90,000
Direct Materials Used $50,000
Direct Labor $60,000
Manufacturing Overhead $40,000
Ending WIP $60,000

Step 1: Total Manufacturing Costs = $50,000 + $60,000 + $40,000 = $150,000

Step 2: COGM = $90,000 + $150,000 − $60,000 = $180,000

The Recursive Structure

Each stage's "Out" becomes the next stage's "In":


North: Where this comes from

East: What opposes this?

South: Where this leads

West: What's similar?