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Tool rental Economic Order Quantity: worked example

Balance order frequency and stock holding under steady demand.

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Tool rental / rental booking economics
Answer

With the illustrative inputs below, the result is 126.4911 units per order.

Try this with your own numbers

Formula and worked example

EOQ = square root(2 × annual demand × ordering cost / annual unit holding cost)

Example figures
InputExample
Annual unit demand1,200
Cost to place one order40
Annual holding cost per unit6
Calculated result126.4911 units per order

Choose reliable inputs

Account for turnaround, maintenance and available inventory before accepting another booking. For this tool rental calculation, use rental contracts, asset records and maintenance logs and a consistent definition of one rental booking.

  • Inspection: include the portion belonging to this rental booking or reporting period, and record where the value came from.
  • Repair: include the portion belonging to this rental booking or reporting period, and record where the value came from.
  • Counter staffing: include the portion belonging to this rental booking or reporting period, and record where the value came from.

Use the same currency for every money input. Do not mix weekly costs with monthly revenue, or count the same expense in both an itemised cost and allocated overhead.

When does the EOQ shortcut stop fitting?

Assumes constant demand and lead time, no quantity discounts and no stockouts. Round to supplier pack sizes separately.

Compare a different assumption

What if this input changes?

If annual unit demand rises by 10%, this example changes by 6.1739 units per order. This shows the effect of one change; it does not predict what will happen.

Open the calculator, save your baseline, then change the input supported by the least reliable estimate in your records. Compare both scenarios before committing to a price or capacity promise.

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