How this calculation works
The original unit contribution must be positive. Hold variable cost fixed, reduce the unit selling price and find the order count that reaches the same total contribution. A nonpositive discounted contribution makes a positive original target unreachable by adding orders.
Required orders = ceil(original orders × original unit contribution / discounted unit contribution)A worked example
Cutting a 1,000 price by 20% with 400 variable cost reduces contribution from 600 to 400. Preserving 100 original orders’ contribution requires 150 orders.
Good to know
A transparent arithmetic model using your inputs. Example prices, rates and multiples are demonstrations, not benchmarks or offers. No tax, exchange-rate conversion, live account access or automatic attribution is supplied. Monetary display is rounded; calculations retain additional precision.
A price cut can shrink contribution faster than revenue
Contribution per order is selling price minus the modeled variable cost. If that cost stays fixed, a 20% price cut need not mean a 20% contribution cut. In the example, contribution falls from 600 to 400, a one-third reduction.
The required volume preserves the original total contribution, not just the original sales revenue. That distinction explains why the added order requirement can be much larger than the percentage discount.
Profit margin describes the contribution difference as a share of price. The uplift question additionally needs the original unit count and the new positive unit contribution.
More volume cannot repair every discount scenario
If the discounted price is equal to or below variable cost, each extra order adds no positive contribution in this model. A positive original contribution target cannot be recovered by increasing that order count.
The result does not predict demand. It also holds variable cost fixed even though a real supplier might change prices at a larger volume. Test any different cost assumption explicitly instead of assuming the required uplift will occur.
A few questions, answered
Why round required orders upward?
A fractional order cannot meet a whole-order target in practice. Rounding upward ensures the modeled contribution target is reached.
Does it account for fixed overhead?
It preserves unit contribution before fixed overhead. Changes in overhead, fees or capacity constraints need another scenario.