4.4. Costs, scale of production and break-even analysis
- Syllabus
- 0264–2027–2028
- Topic
- 4.4
- Level
- —
Learning objectives
4.4.1Identify and classify costs• classify and calculate costs using examples, e.g. fixed, variable, average and total• use cost data to help make simple decisions, e.g. which product to produce, whether to continue or stop production, what price to set, help choose suppliers4.4.2Economies and diseconomies of scale• concept of economies of scale: purchasing, marketing, financial, managerial, technical• concept of diseconomies of scale: poor communication, lack of commitment or loyalty from employees, weak coordination, lack of control4.4.3Break-even analysis• concept of break-even• complete or amend a simple break-even chart• interpret a break-even chart• calculate break-even output• define, calculate and interpret the margin of safety• use break-even analysis to help make decisions: effect of changes in price, changes in fixed costs, changes in variable cost per unit• limitations of break-even analysis
Classify costs and use them in decisions
| Cost | Behaviour | Example |
|---|---|---|
| fixed cost | unchanged with output in the short run | rent |
| variable cost | changes with output | direct materials |
| total cost | fixed plus total variable cost | all production cost |
| average cost | total cost per unit | unit cost at stated output |
total cost=fixed cost+total variable cost,average cost=outputtotal cost
Compare relevant cost with expected revenue, quality, reliability and capacity when choosing a product or supplier, setting price or deciding whether to continue. A lower average cost can support competitiveness, but the decision may also depend on cash and future demand.
Fixed cost is fixed only over a relevant time and capacity range. Average cost is not the same as variable cost per unit.
Explain scale economies—and when they reverse
Economies of scale reduce average cost as a business grows; diseconomies of scale raise average cost when growth makes the organisation harder to manage.
| Economy | Cost mechanism |
|---|---|
| purchasing | bulk buying lowers input price |
| marketing | campaign cost spreads across more output |
| financial | stronger borrowers may obtain cheaper finance |
| managerial | specialist managers improve decisions |
| technical | efficient machinery and processes spread fixed cost |
Too much scale can lengthen communication, weaken coordination and control, and reduce employee commitment or loyalty. Errors, delays, duplication and lower productivity then raise average cost.
Growth does not guarantee economies forever. Economies and diseconomies can operate together; the net average-cost result depends on which is stronger.
Build and interpret break-even analysis
contribution per unit=selling price−variable cost per unit,break−even output=contribution per unitfixed cost,margin of safety=actual output−break−even output
With price 25,variablecost15 and fixed cost 40,000,contributionis10 and break-even output is 4,000 units. At actual sales of 5,500 units, the margin of safety is 1,500 units: sales could fall by that amount before loss begins.
On a simple chart, output is horizontal and money is vertical. Fixed cost is horizontal; total cost starts at fixed cost and rises by variable cost per unit; total revenue starts at zero and rises by selling price per unit. Their intersection is break-even. Complete or amend a chart by calculating and plotting consistent points, then labelling axes and lines.
| Change | Break-even effect, other things equal |
|---|---|
| higher price | lower break-even output |
| higher fixed cost | higher break-even output |
| higher variable cost per unit | higher break-even output |
Break-even assumes price, unit variable cost, fixed cost and sales equal output. Demand, mixed products, step costs and changing efficiency can make the forecast inaccurate.