Capacity Expansion / Article
How much extra volume must a discount bring?
By Mark Rawlins
A discount reduces the gross profit earned on each sale when cost stays the same. Estimate the additional volume needed to replace those dollars before deciding whether a promotion is practical.
01
Set a comparable baseline
Choose a product, period and normal net selling price after ordinary discounts. Record unit cost of sales on the same basis, expected unit sales and any expected returns. State whether sales taxes are excluded and handle them consistently with the accounting records. The method below assumes every unit sells at the stated price and cost stays constant.
Subtract unit cost from net price to find gross profit per unit. Multiply it by baseline units for total gross profit. This is a simplified product calculation. Its cost definition must match the decision. Gross profit is not net profit or cash, and the calculation does not include costs outside cost of sales.
02
Calculate the replacement volume
Hypothetical example: a product normally sells for $100 and has a $60 unit cost. At 100 units, gross profit is $40 per unit, or $4,000. A 10% discount lowers the price to $90. With the same $60 cost, gross profit falls to $30 per unit. To produce the same $4,000 gross profit, divide $4,000 by $30: about 133.3 units. Since whole units are sold, 134 units are needed, 34 more than the baseline.
At 134 units, the simplified gross profit is $4,020. That is a 34% increase in units for roughly the same gross profit, not an estimate that the promotion will produce those sales. At 133 units, gross profit is $3,990. Compare the required volume with realistic demand and available capacity.
03
Add costs and trade-offs
If the promotion adds advertising, shipping or other costs, the gross-profit comparison alone is incomplete. Estimate incremental costs separately and account for any cost that changes with the extra units. For a broader decision, compare incremental revenue and relevant incremental costs, and check the classification with your accountant.
Consider whether discounted orders replace full-price orders or displace other work. A promotion can change returns, customer mix or future buying behavior. Model those possibilities separately. Do not assume each additional discounted order is new demand. Customer agreements, tax treatment and local rules can affect the calculation.
04
Record the outcome
Before launch, write down the dates, eligible products, expected unit sales, price and costs. Include the comparison period. Track actual units, net sales after discounts and returns, and costs using the same definitions. If the mix or price changes, separate those effects when reviewing the result.
If discounted price is at or below unit cost, each sale generates zero or negative gross profit under this model. Division cannot give a meaningful positive replacement volume. Revisit the offer and its purpose. This worksheet supports a business discussion and is not individualized pricing or financial advice.
05
Include an incremental promotion cost
In the earlier hypothetical example, the baseline gross profit is $4,000 and each discounted unit contributes $30 of gross profit. If the promotion also costs $300 and there are no other changed costs, 144 discounted units produce $4,320 in gross profit; after the $300 promotion cost, $4,020 remains. The advertising cost is outside gross profit in this illustration. Actual results depend on demand and the cost classification.
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