Fixed fulfillment makes bigger orders more profitable
If fulfillment is $8 per order, a one-unit order carries the full $8 while a 50-unit order spreads it across 50 units. That is why a lower unit price can still produce a higher margin on a larger order.
If fulfillment scales with units, the opposite is true: the cost per order rises with quantity and the discount has less room. The per-order/per-unit switch changes the answer.
The formula, tier by tier
Revenue = quantity × unit price. Cost = quantity × unit cost + fulfillment + packaging. Profit = revenue − cost. Margin = profit ÷ revenue.
Break-even unit price = cost ÷ quantity. Customer savings = (first-tier price − tier price) × quantity. Each tier uses its minimum quantity as the representative order.
Worked example
Unit cost $18, fulfillment $8 per order, packaging $2. Tiers: 1 @ $40, 10 @ $34, 50 @ $28.
Tier 1 profit is $12 at a 30.0% margin. Tier 2 profit is $150 at 44.1%. Tier 3 profit is $490 at 35.0%. The customer saves $60 at tier 2 and $600 at tier 3 versus the first-tier price.
Price inversion
A higher tier should have a lower unit price. If tier 2 is $45 and tier 1 is $40, the customer has no reason to buy more, and the calculator flags a price inversion.
The result is still calculated so you can see the economics, but the warning means the tier structure is not a quantity discount. Fix the price or remove the tier.
Below-cost tiers
The break-even unit price at 50 units is $18.20. A tier price below that loses money before payment fees, ads and returns. The calculator flags any tier with negative profit.
Do not assume the top tier can be a loss leader. If the goal is to win a large order, model the order separately and decide whether the strategic value justifies the loss.
How to test it
Start with three tiers, not six. Watch the mix: if most customers buy at the top tier, the discount may be deeper than needed. Compare margin and average order value before and after the change.
Use the bundle calculator for mixed-SKU bundles and the discount calculator for a single percentage-off promotion. This tool is for quantity tiers of one SKU.