Skip to content
aurism·

LEARNING LAB / EXPLAIN · PREDICT · TEST

When does a stall stop losing coins?

Sales are not the same as profit. First ask what each sale contributes after its own cost, then what still needs to be covered.

money8-minute read + optional exercise

By Aurism · Published

A colourful monster-run shop from Aurism’s market game

Game-world illustration: Monster Market. The worked models below are separate teaching examples.

Give each cost the right job

A fixed cost stays the same over the range of sales being modelled: imagine 24 coins to set up a pretend stall for one round. A variable cost changes with each item made: perhaps 5 coins for its ingredients. These labels describe a particular model and time period; they are not permanent properties of a cost.

If an item sells for 8 coins and costs 5 coins to make, it contributes 3 coins toward the fixed cost and then profit. Keeping all 8 coins as “profit” would forget the ingredients. Subtracting the setup cost from every individual item would count that one cost repeatedly.

A round with a 24-coin setup cost

The contribution per item is 8 − 5 = 3 coins. Divide the fixed cost by this contribution: 24 ÷ 3 = 8 items. At eight sales, revenue is 64 coins; total cost is 24 + (8 × 5) = 64 coins. Profit is zero.

One fewer or one more sale changes the result by 3 coins
Items soldRevenueTotal costResult
756593-coin loss
86464Break-even
972693-coin profit

Find a whole-item threshold

Whole fictional coins, one product, constant price and variable cost, and every listed unit made and sold. Fixed cost is charged once per round. There is no tax, spoilage or changing demand in this model.

At 8 items: revenue 64 coins, cost 64 coins, so the round breaks even.

“First quantity with no loss” may earn a small profit when the exact mathematical break-even point lies between whole items. These are learning numbers, not a financial forecast.

Some settings never reach break-even

If price equals variable cost, sales contribute nothing toward a positive fixed cost. Selling more cannot pay it off. If price is below variable cost, each additional sale makes this model’s result worse. Do not divide by zero or report a negative sales target as a useful break-even point.

When the result is fractional, whole items matter. With a 25-coin setup cost and 3-coin contribution, the exact threshold is 8⅓ items. You cannot sell a third of an indivisible item, so nine is the first whole-item quantity with no loss. That is different from claiming nine gives exactly zero profit.

Use the distinction in Monster Market

In Monster Market, compare the costs and sales feedback the game actually shows. Before a round, explain whether you are testing price, quantity or a purchase choice. Afterward, ask which coins were revenue and which remained after the recorded costs. Follow the mission’s specific goal as well as the total.

This page assumes every item produced is sold at one price. An actual round can involve a different inventory or recipe model. Unsold stock, waste, time and additional fees can change the result. Use the calculation to understand the distinction between contribution and profit; do not copy its numbers as a guaranteed game strategy or a real business forecast.

Source & scope

OpenStax: Calculate a Break-Even Point in Units and Dollars. Reference for contribution-based break-even analysis. The fictional stall and coin amounts are original educational examples.

This is an Aurism learning article, with AI-assisted development as described in our editorial approach. It does not claim an independent expert review or that a simplified model reproduces every game outcome. Report a correction.

TRY THE IDEA IN A GAME

Monster Market

Use the mission’s actual instructions and feedback to test your next prediction.

Play Monster Market