Pricing So the Numbers Work
For a one-product plan, check what buyers will pay and how many sales cover costs. Break-even means sales revenue equals total costs, including any fixed fee.
What a learner can do afterwards
- Work out the cost of making one unit, including the parts people forget
- Calculate how many units must sell to cover a fixed setup cost
- Explain why cutting the price to sell more can leave you worse off
1 · Read
You have tested what buyers want. Now check a price against costs. In these examples, you sell one product at a steady price and unit cost. Every item made is sold, and all other costs are the fixed fees listed. Below unit cost, each sale adds a loss. More such sales cannot cover a positive fixed fee.
Unit cost here is the cost of making and selling one more item. Add materials, packaging, fees per sale and paid work per item. A flat stall fee is a fixed cost: it stays the same as sales change within this plan. Payment timing does not decide a cost's type.
A wristband needs $1 of string, a $1 clasp and a $1 bag: $3 unit cost. At a $6 price, unit margin is price minus unit cost: $6 minus $3 is $3. Each sale puts this amount toward fixed costs before there is any profit.
Break-even means revenue equals total costs, leaving zero profit. First find unit margin: price minus unit cost. With a positive margin, divide fixed cost by it to find the sales count that covers costs. For whole items, round up if the result is part of an item. This minimum whole-item count may leave a small profit rather than exactly zero. A zero or negative margin cannot cover a positive fixed fee.
The wristband stall fee is $72. Each sale contributes $3, so 72 divided by 3 gives 24 sales. Revenue is 24 times $6, or $144. Unit costs total 24 times $3, or $72. Adding the $72 fee gives $144 total costs. Revenue and total costs match, so profit is zero.
$144 revenue covers $72 of unit costs and the $72 stall fee.
After a price cut, find the new unit margin: new price minus unit cost. If it is positive, divide fixed cost by this margin. A $5 price minus $3 unit cost leaves $2. Dividing the $72 fee by $2 gives 36 sales instead of 24. With unchanged costs, fewer dollars remain from each sale. Extra sales might still make up the difference. To compare total profit, multiply each plan's unit margin by its sales count, then subtract its fixed cost.
The lower price needs more sales to cover the same fee.
To compare sellers, find each unit margin: price minus unit cost. Divide each fixed fee by that seller's positive margin, rounding up for whole items if needed. Compare the required counts. To find how many fewer sales one needs, subtract the smaller count from the larger. Fewer required sales does not mean reaching cost coverage sooner, because sellers may sell at different speeds.
Unit margin is price minus unit cost. With a positive margin, divide fixed cost by it and round up for whole items if needed. Check whether enough buyers will pay your price.
Lesson, questions and flashcards written for this dataset. Pricing and accounting records were consulted for facts and teaching structure.
Readings and flashcards written for this dataset. Linked video: Solving unit price problem, attributed to Khan Academy in the academy catalog: https://www.youtube.com/watch?v=rpGGMSFO6Ks. Video license not recorded.
More to read
Will enough buyers pay this price?
A cost calculation tells you how many sales a plan needs. It does not tell you how many customers will buy.
Suppose a pouch costs $5 per item to make and sell. At an $8 price, each sale contributes $3 toward a $54 fixed fee. Eighteen sales would cover all costs. This assumes every pouch made is sold and there are no other costs.
Now check the sales estimate. Use what you learned about your intended buyers and the options they already purchase. Try a small paid test at the proposed price. Record purchases and the reasons people give for buying or declining.
If likely sales fall below the required count, revisit the price, costs or idea before making a large batch. A higher price may increase the margin but reduce the number of buyers. Recheck both parts of the plan.
When you cannot sell part of an item
Whole items need a whole-number sales target. Suppose a $50 fee is the only fixed cost and each sale contributes $3 after unit costs. Dividing 50 by 3 gives about 16.67 items.
Sixteen sales contribute $48, leaving $2 of the fee uncovered. Seventeen sales contribute $51, covering the fee with $1 left as profit. Seventeen is the minimum whole-item count that covers costs. It is slightly above exact break-even, where profit would be zero.
Round up only after checking that the unit margin is positive. A zero margin leaves nothing from each sale to cover a positive fixed fee. A negative margin adds a loss on each sale. Dividing the fee by zero is not a valid calculation, and a negative result is not a usable sales target for this one-product plan.
Check what makes each cost change
Write down each cost and what causes it. Materials for another item, its packaging, paid work per item and a fee on each sale belong in the unit-cost calculation used here.
A flat stall fee stays the same within an event plan whether you sell 10 items or 20. One bus journey to the fair also stays the same if that one journey serves the whole event. Keep these fixed costs separate. If extra orders require extra trips, travel needs a different calculation.
Payment timing does not decide the category. Paying a stall fee after the event does not turn it into a cost per item. Buying all your packaging in advance does not make packaging a fixed cost per event.
Keep records of waste and unsold stock too. Their costs can reduce the profit you expected. The lesson's basic calculations assume every item made is sold.
Plan profit and payment dates
Try more than one sales estimate before you spend money. For each estimate, multiply unit margin by the sales count, then subtract the fixed cost.
A product sells for $9 and has a $4 unit cost. Its margin is $5. The only fixed cost is a $60 fee. Ten sales contribute $50, so the plan loses $10 after the fee. Twelve sales contribute $60 and give zero profit. Sixteen sales contribute $80 and leave $20 profit. Each estimate assumes all items made are sold.
Also check when money comes in and goes out. You may need to buy supplies or pay the fee before customers pay you. A plan can predict a final profit and still need starting cash. Borrowing can supply cash, but it creates an amount to repay. It is not revenue earned from selling your product.
Compare two prices with expected sales
A price cut leaves a smaller unit margin when unit cost stays unchanged. Whether total profit falls depends on how many extra sales follow.
Compare two plans with a $2 unit cost and a $90 fixed fee. At a $6 price, the margin is $4. Thirty sales contribute $120, leaving $30 profit after the fee. At a $5 price, the margin is $3. Forty sales contribute $120 and also leave $30 profit. The lower price needs 10 extra sales to match the first plan's profit.
Both estimates assume every item made is sold and there are no other costs. Check whether each sales estimate is realistic. A small paid test can provide evidence, although its results do not promise the same sales later. Compare the complete plans rather than choosing by price, margin or sales count alone.
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