Profit Per Unit

Reorder point formula and calculator

The reorder point is the stock level at which you place your next order, so it arrives before you sell out. Put in your sales and your lead time below to get yours, with safety stock worked out the way you prefer.

Reorder point = average daily sales × lead time in days + safety stock

to see how it works.

Sales and lead time
Work it out from your sales history

Safety stock
Your stock (optional)
Amazon FBA capacity (optional)

Results

Sales during the lead time-
Safety stock-
Reorder point-
Stock on hand and on order-
When to reorder-
Cubic feet per unit-
Units your capacity limit holds-
Reorder point and your limit-
Room left under your limit-

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The reorder point formula, term by term

When your stock on hand plus what's already on order drops to the reorder point, place the next order.

Worked examples

1. Safety stock as days of sales. You sell 20 a day and your supplier takes 30 days. You keep 10 days of sales in reserve. Sales during the lead time: 20 × 30 = 600. Safety stock: 20 × 10 = 200. Reorder point: 800 units.

2. Safety stock from a 95% service level. You sell 20 a day on average, with a standard deviation of 6, and the lead time is always 25 days. The spread of sales over 25 days is 6 × √25 = 30 units. For 95%, z is 1.645, so safety stock is 1.645 × 30 = 49.3. Reorder point: 500 + 49.3, rounded up to 550 units.

3. The same, but the lead time varies. Deliveries take 25 days on average, give or take 4 days (standard deviation). Now the spread is √(25 × 6² + 20² × 4²) = √(900 + 6,400) = 85.4 units, and safety stock is 1.645 × 85.4 = 140.5. Reorder point: 641 units. A supplier who's unreliable by four days costs you almost 3 times the safety stock of one who's always on time.

4. When to order. With example 1's reorder point of 800, you have 1,100 on hand and 300 on order: 1,400 in all. At 20 a day you reach 800 in (1,400 - 800) ÷ 20 = 30 days.

Amazon FBA in Q4: longer lead times and capacity limits

On Amazon the same formula works, but in the fourth quarter three things change at once: you sell more, stock takes longer to become sellable, and Amazon may cap how much you can send.

Worked Q4 example

5. Restocking for November and December. These numbers are an example. You normally sell 20 a day, and Amazon's demand forecast shows about 45 a day for the holiday weeks, so use 45: the order you place now sells during the peak. Your supplier and freight take 30 days, and you add 14 days for the delivery appointment and check-in in peak, so the lead time is 44 days. With 10 days of safety stock:

When the reorder point is bigger than your limit, you'll run out before the next shipment arrives unless you change something. Amazon's options, from its capacity page and playbook:

Safety stock: which method?

The service-level formula is safety stock = z × √(L × σd² + d² × σL²), where d is average daily sales, σd its standard deviation, L the average lead time in days and σL its standard deviation. With a fixed lead time it shortens to z × σd × √L. It assumes days are independent and the sales during a lead time are roughly normal.

Service level and z

Higher service levels cost more safety stock, and the cost climbs fast near 100%. Going from 95% to 99% raises z from 1.645 to 2.326.

Service levelzSafety stock compared with 95%
90%1.28278%
95%1.645100%
97.5%1.960119%
98%2.054125%
99%2.326141%
99.5%2.576157%
99.9%3.090188%

Common mistakes

Sources

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