The Entrepreneur and Business Opportunities
Senior 4 · Entrepreneurship
The Entrepreneur and Business Opportunities
Lesson 3 of 3
24 min
Every town has a graveyard of businesses that “felt” like sure things — the fourth phone shop on a street that could support three, the restaurant opened where no one walks in the evening. The owners were not lazy or unlucky. They skipped the one cheap step that would have warned them.
A feasibility study is testing an idea on paper, before you commit real money, to answer a single question: will this work? Testing on paper costs a notebook and a few days. Testing with your savings costs your savings. This lesson shows you the four parts of a feasibility study and then does the arithmetic that decides most of them — the break-even calculation — in full.
A complete study checks four kinds of feasibility. An idea must pass all four — being strong on one cannot rescue a fatal weakness in another.
We will follow one idea — Umutoni wants to make and sell 500 ml bottles of drinking yoghurt near two schools — through market feasibility and then, in detail, financial feasibility.
Identify the target customer. Umutoni is not selling “to everyone” — that is the beginner’s answer. Her target market is students and staff at two nearby schools, plus people passing a small health centre. Dividing a broad market into groups with shared needs like this is called market segmentation, and it matters because you cannot design a product or a price for “everyone.”
Estimate the market size. Guessing is not allowed; you build the number up from evidence.
Notice she used a real survey and then stayed conservative. An honest study rounds down, because the cost of over-estimating demand is a fridge full of spoiling yoghurt.
Study the competitors. One kiosk already sells imported yoghurt at 600 Frw. Umutoni’s advantage — her unique selling point (USP), the reason a customer picks her over the alternative — is that hers is fresh, local, and 100 Frw cheaper. A study with no competitor section is incomplete: if you cannot say why customers will leave what they currently buy, you do not yet have a business.
This is the part that decides most ideas, so we derive it rather than just quote it. First, two cost types.
Her selling price is 500 Frw per bottle. The key quantity is the contribution per bottle — what each sale contributes towards covering the fixed costs once its own variable cost is paid:
Contribution per unit = selling price − variable cost per unit = 500 − 300 = 200 Frw.
Now find the break-even point: the number of bottles at which total revenue exactly equals total cost, so profit is zero. Let Q be the number of bottles a month. Set revenue equal to cost:
Total revenue = 500Q
Total cost = fixed + variable = 400,000 + 300Q
At break-even they are equal:
500Q = 400,000 + 300Q
500Q − 300Q = 400,000
200Q = 400,000
Q = 400,000 ÷ 200 = 2,000 bottles a month.
The two-line shortcut you have just derived is the formula worth memorising:
Break-even quantity = fixed costs ÷ contribution per unit.
Check the units, because A-Level marks reward it: Frw ÷ (Frw per bottle) = bottles. The answer is a number of bottles, exactly as it should be. Over a 25-day selling month, 2,000 bottles is 80 a day.
Now bring the two halves together. The market study said she can realistically sell about 2,700 bottles a month; break-even is 2,000. She is above break-even, so the idea is financially feasible. Her monthly profit at that level:
Profit = (contribution × bottles sold) − fixed costs = (200 × 2,700) − 400,000 = 540,000 − 400,000 = 140,000 Frw a month.
How much safety does she have? The margin of safety is how far sales can fall before she starts losing money:
Margin of safety = (expected sales − break-even) ÷ expected sales = (2,700 − 2,000) ÷ 2,700 = 700 ÷ 2,700 ≈ 26%.
Sales can drop about a quarter before she hits a loss — feasible, but not comfortable, so she should not add fixed costs carelessly.
See why the study mattered. Suppose the survey had instead pointed to only 1,500 bottles a month — below the 2,000 break-even. Her result would have been (200 × 1,500) − 400,000 = 300,000 − 400,000 = a loss of 100,000 Frw every month. The feasibility study turns that disaster into one line of arithmetic done before the fridge is bought, not after.
Tip
Two formulas carry most feasibility questions, and the first builds the second:
Contribution per unit = price − variable cost per unit.
Break-even quantity = fixed costs ÷ contribution per unit.
The classic exam trap is dividing fixed costs by the selling price instead of the contribution. That answer is always too small — it pretends the variable costs do not exist. Divide by contribution, and always check the units come out as “number of items.”
Do the arithmetic before reading each solution.
A tailor has fixed costs of 150,000 Frw a month. Each school shirt sells for 4,000 Frw and costs 2,500 Frw in materials. Find the contribution per shirt and the break-even number of shirts per month.
Answer. Contribution = 4,000 − 2,500 = 1,500 Frw. Break-even = fixed costs ÷ contribution = 150,000 ÷ 1,500 = 100 shirts a month. Below 100 he loses money; above 100 he profits.
The same tailor’s market study says he can realistically sell 160 shirts a month. Is the idea feasible, and what is his monthly profit at that level?
Answer. 160 is above the break-even of 100, so yes, it is feasible. Profit = (contribution × sold) − fixed costs = (1,500 × 160) − 150,000 = 240,000 − 150,000 = 90,000 Frw a month.
For that tailor, calculate the margin of safety and say in one sentence what it means.
Answer. Margin of safety = (160 − 100) ÷ 160 = 60 ÷ 160 = 37.5%. It means his sales could fall by more than a third before he stopped making a profit — a comfortable cushion.
Umutoni finds she can sell 2,700 bottles a month, but the only landlord near the schools will not rent to a food business without a hygiene certificate she does not yet have. Which type of feasibility is failing, and why can strong market numbers not rescue it?
Answer. Legal feasibility (and, through the location, operational feasibility). Strong demand is irrelevant if she is not permitted to trade: she cannot legally sell a single bottle until she meets the requirement. An idea must pass all four feasibility tests — a fatal weakness in one is not offset by strength in another.
A juice-seller surveys 80 people passing a market; 20 say they would buy a 300 Frw juice once a day. About 2,000 people pass that spot daily. Estimate how many juices a day the survey implies, and state one reason the true figure is likely to be lower.
Answer. Buying rate = 20 ÷ 80 = 25%. Applied to 2,000 passers: 0.25 × 2,000 = 500 juices a day. The true figure is likely lower because people over-state in surveys what they will actually pay for — and not everyone who would buy passes on every day — so an honest study rounds this estimate down before committing money to it.
Note
What to remember