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Economic order quantity calculator

Calculate a continuous-model quantity and compare the annual costs around it.

Omni Finance AcademyBy Omni Finance Academy
Continuous-model order quantity
707.1068 units
Orders per year
14.1421
Average cycle inventory
353.5534 units
Annual ordering cost
707.1068
Annual holding cost
707.1068
Total modeled relevant cost
1,414.2136
282.81,1672,051282.8707.11,131Order quantity (units)Annual relevant cost282.81,1672,051282.8707.11,131Order quantity (units)Annual relevant cost
Order quantity and annual modeled cost

The deterministic cost model holds demand, cost per order and holding cost fixed while varying order quantity.

  • Total
  • Ordering
  • Holding
View the chart values
Order quantity and annual modeled cost: underlying values
SeriesOrder quantity (units)Annual relevant cost
Total282.842712,050.6097
Total388.908731,674.5574
Total494.974751,505.1273
Total601.040761,432.9311
Total707.106781,414.2136
Total813.17281,428.0483
Total919.238821,463.1671
Total1,025.30481,512.9647
Total1,131.37081,573.3126
Ordering282.842711,767.767
Ordering388.908731,285.6487
Ordering494.974751,010.1525
Ordering601.04076831.89033
Ordering707.10678707.10678
Ordering813.1728614.87546
Ordering919.23882543.92829
Ordering1,025.3048487.65985
Ordering1,131.3708441.94174
Holding282.84271282.84271
Holding388.90873388.90873
Holding494.97475494.97475
Holding601.04076601.04076
Holding707.10678707.10678
Holding813.1728813.1728
Holding919.23882919.23882
Holding1,025.30481,025.3048
Holding1,131.37081,131.3708
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Keep time and unit conventions matched

Enter annual demand in units, fixed cost per order and holding cost per unit per year. Demand and costs are assumed constant in this model.

Read the relevant-cost objective

The curve combines annual ordering and cycle-inventory holding cost. Constant purchase costs, safety stock, shortages and supplier discounts are omitted.

Inspect the fictional default

Demand 10,000, order cost 50 and unit holding cost 2 give quantity 707.1068. Annual ordering and holding costs are equal at this continuous optimum.

Evaluate feasible and uncertain conditions separately

A fractional quantity is not necessarily a feasible order. Pack sizes, minimum quantities, uncertain demand, lead time and storage constraints can require a different model or a constrained comparison.

Further references