Understanding the lemonade stand calculator — concept and principle
This calculator helps children (and parents) plan a lemonade stand. It works out the money taken, total costs, profit, the number of pitchers to make, the cost of each cup, the profit on each extra cup and how many cups must be sold to pay for the sign and table. It is a friendly first lesson in revenue, costs and break-even.
How it is calculated
- Revenue = price per cup × cups sold
- Pitchers to make = cups ÷ cups per pitcher, rounded up
- Total costs = pitchers × ingredient cost + cups × paper cup cost + one-off costs
- Profit = revenue − total costs
- Cost of one cup = ingredients per pitcher ÷ cups per pitcher + one paper cup
- Profit on each extra cup = price − cost of one cup
- Break-even cups = one-off costs ÷ profit per cup, rounded up
The principle
Some costs come with every cup: lemonade and a paper cup. Others are paid once, whatever you sell: the sign, table and pitcher. Every cup you sell earns its price minus its own cost, and that leftover first pays back the one-off costs. After the break-even number of cups, everything extra is profit. Businesses call the leftover per item the contribution margin; it is the same idea in lemonade form. You cannot make part of a pitcher, so pitchers are rounded up.
Worked example
Defaults: price 1.00, 80 cups, ingredients 2.50 per pitcher, 10 cups per pitcher, paper cup 0.05, one-off costs 12.
- Revenue = 1.00 × 80 = $80.00.
- Pitchers = 80 ÷ 10 = 8.
- Total costs = 8 × 2.50 + 80 × 0.05 + 12 = 20 + 4 + 12 = $36.00.
- Profit = 80 − 36 = $44.00; margin = 44 ÷ 80 = 55%.
- Cost of one cup = 2.50 ÷ 10 + 0.05 = $0.30; profit per extra cup = $0.70.
- Break-even = 12 ÷ 0.70 = 17.1, rounded up to 18 cups.
| Price of one cup | Profit (revenue − costs) |
|---|---|
| 0.25 | -$16.00 |
| 0.5 | $4.00 |
| 0.75 | $24.00 |
| 1 | $44.00 |
| 1.25 | $64.00 |
| 1.5 | $84.00 |
| 2 | $124.00 |
How to read the result
After 18 cups the sign and table are paid for. Each further cup adds 70 cents. Try changing the price: a higher price earns more per cup but may mean fewer customers. If you have leftover lemonade, you still paid for it, so make only as many pitchers as you think you can sell.
Common mistakes
- Forgetting the paper cups.
- Thinking the money taken is all profit.
- Making too many pitchers, which raises costs without sales.
- Not counting one-off costs because they were bought earlier.
Frequently asked questions
How much profit does a lemonade stand make?
It depends on price, costs and how many cups you sell; with the defaults, 44 on 80 cups.
What does break-even mean?
The number of cups you must sell so that the money taken covers all your costs.
Should I charge more?
You can try. A higher price raises the profit per cup, but fewer people may buy.
Sources: Cost-volume-profit relationship: break-even units = fixed costs ÷ contribution margin per unit (introductory managerial accounting)