Component 1: Business revenue and costs — Eduqas A-Level Business
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Component 1: Business revenue and costs explained
Three formulas carry this content: total revenue is selling price multiplied by quantity sold, total costs are fixed costs plus variable costs, and profit is total revenue minus total costs, each measured as a flow over a stated period such as a month or a year.
Read the full explanation
The profit lines are not interchangeable, since gross profit is revenue minus cost of sales, operating profit then deducts overheads such as rent, salaries and marketing, and profit for the year is struck after interest and tax. None of them is cash, because a credit sale is recorded as revenue on the day of the sale while the money may arrive sixty days later. The distinction drives decisions: a discount raises quantity sold and revenue, yet profit falls whenever the price cut outweighs the extra contribution the volume brings in.
Identify costs to a business, including fixed, variable, semi-variable, direct, indirect/overhead costs and total costs
There are two cuts of the same money. By behaviour, a cost is fixed if it does not move with output in the short run, such as rent, insurance or a manager's salary; variable if it moves in proportion to output, such as ingredients, components and packaging; and semi-variable if it has a standing charge plus a usage element, such as an energy tariff or a mobile contract. By traceability, a cost is direct if it can be attributed to one unit or product and indirect, or overhead, if it is shared across the whole firm. Add them and total cost is fixed plus variable cost at a given output, while average cost is total cost divided by units, measured in pounds per unit. The classification drives decisions, because a heavy fixed cost base means high operating gearing, so profit accelerates above break-even and collapses below it.
Calculate revenue, costs and profit
Every figure comes from three lines of arithmetic worked in a single stated period with consistent units. Take a bakery selling 4,000 loaves a month at 2.50 pounds each: revenue is 10,000 pounds; ingredients and packaging at 0.90 pounds a loaf give variable costs of 3,600 pounds; with fixed costs of 4,200 pounds, total costs are 7,800 pounds and profit is 2,200 pounds for the month. Contribution per unit, selling price minus variable cost per unit, is 1.60 pounds, which is the figure break-even work needs next. Set the working out line by line and label each result, because method marks survive an arithmetic slip and an examiner cannot award them for a bare number on its own.
Interpret revenue, costs and profit calculations
A number means nothing until it is turned into a ratio and set beside something. Convert absolute figures into margins, since gross profit margin is gross profit divided by revenue multiplied by one hundred, and the operating profit margin does the same with operating profit; a supermarket living on an operating margin near three percent is healthy, while a jeweller on the same margin is in trouble. Then compare with last year, with the budget, with a rival or with the industry norm, and read the direction of travel: revenue rising while profit falls points to heavier costs, deeper discounting or a worse sales mix, and each of those has a different remedy. Finish by turning the reading into a decision about price, product range, supplier terms or capacity.
Evaluate the impact of revenue, costs and profit on a business and its stakeholders
Revenue is selling price multiplied by quantity sold, cost is what the firm gives up to earn it, and the gap between them is profit; the marks sit in tracing one change through all three and then out to the people affected. A price rise lifts revenue per unit but can cut volume where demand is price elastic, so total revenue may fall. Cost cutting widens the margin but can damage quality, delivery or morale. Sort profit into gross profit, operating profit and profit for the year, then turn each into a margin as a percentage of revenue so firms of different sizes can be compared. Stakeholders then split: shareholders want dividends, employees want secure jobs and pay, suppliers want prompt settlement, customers want value, and a local community wants the site to stay open. Greggs ploughing retained profit into new shops shows profit working as a source of finance.
Explain what is meant by contribution
Take the price of one unit and strip out the variable cost of making that one unit; what is left, in pounds per unit, is the money the sale hands over towards fixed costs, and once fixed costs are covered every further pound of it becomes profit. Total contribution is contribution per unit multiplied by units sold, and profit is total contribution minus fixed costs. It is the figure that settles short run decisions: accept a discounted special order, keep or drop a product line, or choose which product to push when machine time is scarce. The trap is full costing, where fixed overheads are shared out and a line looks loss making even though its contribution is positive and it is paying towards overheads that would not vanish if it closed. A bakery pricing a loaf at three pounds with ingredients and packaging at one pound twenty earns one pound eighty a loaf.
Explain what is meant by break-even
The point at which a business is exactly square: total revenue equals total cost, so there is neither profit nor loss, and the next unit sold starts to make money. The arithmetic is fixed costs divided by contribution per unit, the answer is in units, and it is always rounded up, because a fraction of a sale does not pay the rent. Multiply that output by the selling price for break-even revenue in pounds. The number is used to set the minimum sales target a start up must hit, to show a bank that a loan can be serviced, and to see how far current sales sit above the danger line. It assumes every unit made is sold, that one price holds at every output and that costs run in straight lines, so a firm giving bulk discounts or paying overtime is not the firm the model describes.
Calculate contribution and understand its application to the calculation of break-even
Work in a fixed order: contribution per unit first, then the break-even output. Price minus variable cost per unit gives contribution; fixed costs divided by that contribution gives the output at which the firm is square. With fixed costs of £12,000 a month, a price of £30 and variable costs of £18 a unit, contribution is £12 a unit, the break-even output is 1,000 units and break-even revenue is £30,000. Reverse the same arithmetic for a target profit question by adding the required profit to fixed costs before dividing. The slip that costs most marks is mixing time periods, such as annual fixed costs set against a monthly price and volume; the second is dividing by price instead of by contribution, which understates the output needed and makes a risky plan look safe.
Construct and interpret break-even charts, including the margin of safety
Put output in units along the horizontal axis and money in pounds up the vertical one, then draw three lines: fixed costs flat across the chart, total costs starting at the fixed cost level and rising by the variable cost per unit, and total revenue rising from the origin by the selling price. Where revenue crosses total cost is the break-even output, and the vertical gap between those two lines at any output is loss to the left of the crossing and profit to the right. The margin of safety is the horizontal distance from that crossing to current or budgeted output, measured in units and often quoted as a percentage of that output. A firm selling 1,200 units with break-even at 1,000 has a margin of 200 units, so sales can fall by a sixth before losses begin.
Illustrate on a break-even chart the effects of changes in costs and revenue
Each change moves one line and only one, so name the line, the direction and the new crossing point. A rent review or new machinery raises fixed costs, so the fixed cost line and the total cost line both shift upward in parallel, the crossing point moves right and the margin of safety shrinks. Dearer materials or higher piece rate pay raise variable cost per unit, so the total cost line pivots steeper from the same intercept and the crossing point again moves right. A price increase pivots the revenue line steeper from the origin and pulls the crossing point left, but only while demand holds, which is where price elasticity belongs in the answer. A promotional discount flattens the revenue line and pushes the crossing point right, which is how a promotion can raise volume and still lose money.
Analyse how changes in costs and/or revenue can affect break-even (‘what-if’ analysis)
This is sensitivity testing done with a calculator rather than a ruler: change one variable, rework contribution, divide fixed costs by the new figure and compare with the old. If contribution per unit falls from £12 to £10 while fixed costs stay at £12,000, the break-even output rises from 1,000 to 1,200 units, a jump of a fifth from a small movement in cost, which shows how exposed the firm is to its margin. Run the same test on a supplier increase, a wage settlement, a rent review or a seasonal discount, then rank the results by how far each moves the figure and how likely each one is. Strong analysis names the most damaging variable and says what management could do about it, such as renegotiating supply, moving pay towards a variable element, or trimming fixed overheads before the quiet season.
Evaluate the usefulness of break-even to a business and its stakeholders
Weigh what the technique delivers against what it quietly assumes. It is quick and cheap, forces a firm to separate fixed from variable costs, turns a vague plan into a sales target, and hands a lender a testable number, which is why it appears in almost every start up plan. Against that, it runs costs and revenue as straight lines, assumes one price and one product, assumes everything produced is sold, and rests on cost estimates that are forecasts rather than facts. For a market stall or a single site cafe the answer may be close enough to act on; for a supermarket carrying thousands of lines it is close to useless. Stakeholders read it differently: a bank wants the margin of safety, employees want to know whether likely output supports their jobs, and owners want a target to manage against.
Your focus
- Explain what is meant by revenue, costs and profit
- Identify costs to a business, including fixed, variable, semi-variable, direct, indirect/overhead costs and total costs
- Calculate revenue, costs and profit
Show all 12 objectives
- Interpret revenue, costs and profit calculations
- Evaluate the impact of revenue, costs and profit on a business and its stakeholders
- Explain what is meant by contribution
- Explain what is meant by break-even
- Calculate contribution and understand its application to the calculation of break-even
- Construct and interpret break-even charts, including the margin of safety
- Illustrate on a break-even chart the effects of changes in costs and revenue
- Analyse how changes in costs and/or revenue can affect break-even (‘what-if’ analysis)
- Evaluate the usefulness of break-even to a business and its stakeholders
Component 1: Business revenue and costs exam tips
Quick Revision Summary (Key Takeaway)
Business revenue and costs form the financial bedrock of Eduqas A-Level Business Component 1, examining how firms generate sales turnover and manage fixed, variable, and semi-variable expenses. Mastering these concepts enables accurate calculation of contribution, profit margins, and break-even levels to evaluate enterprise viability.
Topic Overview
Business revenue and costs represent the analytical core of Eduqas Component 1 (Business Opportunities and Functions). This topic covers how firms price products, classify expenditure into fixed, variable, direct, and indirect categories, and analyse how cost behaviour shifts with changing levels of output.
Understanding these mechanics is critical for financial planning, calculating break-even thresholds, establishing margins of safety, and determining overall profitability. Furthermore, it equips students to evaluate the financial feasibility of strategic growth decisions, restructuring plans, and competitive pricing strategies across both domestic and global markets.
Key Concepts
- →Distinction between revenue (Price x Quantity), gross profit, operating profit, and net cash flow.
- →Cost categorisation: fixed costs (independent of output in the short run), variable costs (vary directly with output), semi-variable costs, and overheads.
- →Contribution concept: unit contribution (Selling Price - Unit Variable Cost) and total contribution (Total Revenue - Total Variable Costs).
- →Break-even analysis and margin of safety as decision-making tools to evaluate operational risk.
- →The impact of economies and diseconomies of scale on long-run average total costs (LRATC).
Marking Points
- Definitions given in a clause with the formula attached, so revenue is price multiplied by quantity, total cost is fixed plus variable cost, and profit is revenue minus total cost.
- The profit measures distinguished, naming gross profit, operating profit and profit for the year and what is deducted at each stage.
- A statement of period and unit, for example pounds per month, because revenue and profit are flows and comparing a monthly figure with an annual one is meaningless.
- Application to a decision in the case, such as showing why a rise in turnover does not guarantee a rise in profit when costs rise faster.
- Correct sorting by behaviour, with a named case example of a fixed, a variable and a semi-variable cost rather than textbook examples alone.
- Correct sorting by traceability, distinguishing a direct cost traced to a product from an indirect cost or overhead shared across the business.
- Total cost stated as fixed plus variable cost at a stated output, with average cost as total cost divided by units in pounds per unit.
- A link from classification to a decision, such as why a firm with high fixed costs chases capacity utilisation, calculated as actual output divided by maximum possible output multiplied by one hundred.
- Working shown line by line, revenue then variable costs then total costs then profit, each labelled, so method marks are available even when a figure is wrong.
- Per unit and total figures handled correctly, multiplying variable cost per unit by output before adding fixed costs rather than mixing the two scales.
- The own figure rule exploited, so a later step calculated correctly from an earlier incorrect answer still earns credit.
- Units and period stated, for example pounds per month, with answers rounded sensibly and money shown to two decimal places where the data warrant it.
- Absolute figures converted into a margin or a percentage change before any judgement is offered, with the formula named.
- An explicit comparison against a benchmark, whether the previous year, the forecast, a named competitor or the sector norm.
- Diagnosis of the cause, for example separating a fall in the gross margin, which points at cost of sales or price, from a fall in the operating margin, which points at overheads.
- A consequence drawn for the firm, linking the interpretation to a decision on pricing, product range, supplier negotiation or capacity.
- Revenue shown as selling price per unit multiplied by quantity sold, with costs separated into fixed and variable before any profit figure is quoted.
- Profit distinguished by level, gross profit, operating profit and profit for the year, and converted into a margin as a percentage of revenue.
- The effect traced to at least two named stakeholders who want opposite things, using evidence from the case material rather than a generic list.
- A supported judgement on which stakeholder group is affected most for this business now, justified by its size, ownership and market position.
- Contribution defined as selling price per unit minus variable cost per unit, with the unit of measurement given as pounds per unit.
- Total contribution shown as contribution per unit multiplied by units sold, and profit shown as total contribution minus fixed costs.
- Application to a decision in the case, such as whether a discounted order or an extra product line still adds to fixed cost cover.
- Recognition that contribution is not profit until the whole of the fixed cost has been paid for.
- The idea identified as the output at which total revenue and total cost are equal, so the business makes neither profit nor loss.
- The formula given as fixed costs divided by contribution per unit, with the answer expressed in units and rounded up to a whole unit.
- Use explained in a decision context, such as setting a minimum sales target, supporting a loan application or testing a new product launch.
- At least one assumption named, such as all output being sold, a single selling price, or costs and revenue behaving in straight lines.
- Contribution per unit calculated as price minus variable cost per unit, with the working shown rather than only a final answer.
- Break-even output calculated as fixed costs divided by contribution per unit, and the answer labelled in units.
- Break-even revenue found by multiplying that output by the selling price, and labelled in pounds.
- A target profit question handled by adding the required profit to fixed costs before the division.
- Axes labelled correctly, with output in units on the horizontal axis and revenue and costs in pounds on the vertical axis.
- Total revenue drawn from the origin and total cost drawn from the fixed cost intercept, with break-even read off where the two lines cross.
- Margin of safety identified as current or budgeted output minus break-even output, stated in units or as a percentage of output.
- Profit or loss at a stated output read off as the vertical gap between the revenue line and the total cost line.
- The correct line named for each event: a fixed cost change shifts the cost lines in parallel, a variable cost change pivots the total cost line, a price change pivots the revenue line.
- The new break-even output and the new margin of safety stated after each movement, not just the redrawn line.
- A pivot distinguished from a parallel shift, with the intercept left unchanged where only variable cost per unit has moved.
- Comment that a price change also alters quantity demanded, so the new revenue line alone does not settle the outcome.
- A reworked contribution per unit shown before any new break-even figure is quoted.
- The new figure compared with the original, with the size of the movement expressed in units or as a percentage.
- One variable altered at a time, so the effect can be attributed to a named cause rather than guessed at.
- A judgement on which change the business is most exposed to, supported by evidence from the case material.
- At least two genuine strengths, such as target setting, forcing cost classification, or supporting an application for finance.
- At least two limitations tied to the assumptions, such as straight line costs, a single product, or all output being sold.
- Usefulness made conditional on the business, its number of products, the stability of its costs and the reliability of its forecasts.
- A supported judgement naming the stakeholder for whom the technique matters most, and saying why the others gain less from it.
Examiner Tips
- 💡Short explain, state or outline questions on these terms are usually worth two to four marks, where the formula plus a brief case example is enough.
- 💡Keep the vocabulary exact in longer answers, since a chain of reasoning that says profit when it means cash loses the mark even if the logic is sound.
- 💡If the case gives an income statement, quote the correct line by name rather than writing profit unqualified.
- 💡A short classification task often feeds a later calculation, so sort the case's costs correctly first because an error there corrupts every figure that follows.
- 💡Where a cost in the case is semi-variable, split it before any break-even work, putting the standing charge with fixed costs and the usage rate with variable costs.
- 💡Use the board's own labels, since indirect and overhead mean the same thing here and mixing in unfamiliar terms wastes words.
- 💡Calculation tasks are usually worth two to four marks with a mark for method, so write the formula down before touching the numbers.
- 💡Take the figures exactly as printed in the case data and recalculate rather than estimate whenever the stem announces a price rise or a cost saving.
- 💡Leave the working on the page even if you spot an error, since crossing everything out removes the method marks you had already earned.
- 💡Interpretation is usually assessed inside a longer analyse or evaluate question rather than on its own, so follow every calculation with a sentence that answers the question so what.
- 💡Quote the figure you calculated in the judgement paragraph, because evaluation anchored to the case data outscores general reasoning every time.
- 💡Comment on the reliability of the data as well as the result, noting forecasts, estimates and missing information where the case gives them.
- 💡The evaluate task in this section usually carries the highest tariff, so leave room for a conclusion that answers which stakeholder is hit hardest and why.
- 💡Quote the figures printed in the case study and do the subtraction on the page; application to the named business is credited far above a textbook definition.
- 💡If the stem supplies both a profit figure and a revenue figure, convert them to a margin as a percentage, since that is the fastest route to an analytical point.
- 💡Explain tasks on this idea are low tariff, so define in a clause and spend the rest of the answer on what the figure lets the named business decide.
- 💡Label the per unit figure and the total separately, writing pounds per unit beside one and pounds beside the other.
- 💡When a stem gives price, variable cost and fixed costs, work out contribution first, because every later part of that question depends on it.
- 💡State and explain tasks here are worth two or three marks; the development mark comes from saying what the business does with the number.
- 💡If fixed costs are given monthly, keep price, volume and variable cost monthly too, because mixed time periods are the commonest source of a wrong answer.
- 💡Where current sales are also given, compare them with the break-even output to earn an extra analytical point for free.
- 💡Calculate tasks carry method marks, so set each step on its own line; a wrong figure carried forward correctly still earns most of the credit.
- 💡Read the stem for the time period and for whether costs are per unit or in total before touching the calculator.
- 💡Finish a calculation with one sentence on what the figure means for the named business, because the follow up part almost always asks for that.
- 💡Charts are usually part drawn in the booklet; add the missing line and annotate break-even and the margin of safety, because the labels carry marks of their own.
- 💡Use a ruler and take readings to the nearest gridline, since examiners allow a tolerance but not a freehand line.
- 💡Follow any construction with a sentence interpreting the chart for the named business, as the interpretation marks outnumber the drawing marks.
- 💡Scenarios are typically a rent rise, a supplier increase or a discount; name the affected line before describing anything else.
- 💡Annotate and label the new line on the printed chart, then write one sentence on the new break-even output for the business.
- 💡For a price cut, examiners look for a link to volume, so pair the flatter revenue line with the extra units the firm must now sell.
- 💡Analyse tasks reward a chain of reasoning: the change, then contribution, then the break-even output, then the margin of safety.
- 💡Set the new working out beside the original so the comparison is visible to the marker without extra reading.
- 💡Where two scenarios are offered, work through both and close on the one that poses the greater risk to the business.
- 💡This is a high tariff task, so plan two developed points each way plus a conclusion that turns on something specific in the case.
- 💡Use the phrase it depends on and then name the condition: number of products, how stable costs are, how good the forecasts are.
- 💡Name a stakeholder from the case study rather than a generic list, because a general answer rarely reaches the top level.
- 💡Always show full working and explicit formula statements in quantitative questions; method marks can be awarded even if an arithmetic error occurs.
- 💡When asked to assess cost-reduction strategies, evaluate the qualitative impact on employee morale, product quality, and brand reputation alongside raw financial savings.
- 💡Distinguish clearly between short-run cost dynamics (where at least one factor of production is fixed) and long-run adjustments where all costs become variable.
Common Mistakes
- Using revenue, profit and cash as if they were the same, when a credit sale creates revenue immediately but no cash until the customer settles the invoice.
- Calling turnover profit, or deducting only variable costs and labelling the answer profit when it is contribution.
- Assuming a larger business with more revenue must be more profitable, ignoring its cost base entirely.
- Believing fixed costs never change, when they are fixed only in the short run and within present capacity, and taking a second unit or renewing a lease steps them up.
- Saying fixed cost per unit stays constant, when it is total fixed cost that stays constant and fixed cost per unit falls as output rises.
- Treating direct and variable as synonyms, when salaried direct labour is traceable to a product yet does not vary with the number of units made.
- Adding fixed cost per unit to variable cost per unit and then multiplying the total by output, which counts the fixed costs twice over.
- Failing to split a semi-variable cost, so the standing charge is scaled up with output and total costs come out too high.
- Mixing periods, such as setting annual rent against one month of sales, or mixing a price including tax with costs excluding it.
- Restating the figures in words, saying profit rose by 12,000 pounds without saying what that means for the firm's position.
- Judging a margin with no benchmark, so a low-margin high-volume retailer is described as failing when it is performing normally for its sector.
- Ignoring one-off items and seasonality, so a strong December is read as a permanent improvement in trading.
- Treating revenue as profit, so a rise in sales volume is reported as a rise in profit without checking what happened to variable costs.
- Reciting a memorised stakeholder list without saying how this particular change in revenue or cost actually reaches each group.
- Assuming a price rise always raises revenue, ignoring price elasticity of demand and what rival firms are charging.
- Subtracting total cost per unit rather than variable cost per unit, which produces profit per unit and not contribution.
- Calling contribution profit, and so claiming the business is already profitable on the first unit it sells.
- Deducting an apportioned share of fixed overhead from the price, which is full costing and gives the wrong basis for a short run decision.
- Dividing fixed costs by the selling price instead of by contribution per unit, which ignores variable costs altogether.
- Rounding the output down, which leaves an answer that is still a loss making level of output.
- Describing it as the point where the business begins to make a profit rather than the point at which losses stop.
- Using total variable cost for all output instead of variable cost per unit when finding contribution.
- Dividing annual fixed costs by a contribution built from a weekly or monthly price and cost, so the answer is out by a whole period.
- Leaving an answer such as 416.7 units instead of rounding up to the next whole unit that the business could actually sell.
- Drawing the total cost line from the origin, which removes fixed costs from the chart and puts break-even at zero output.
- Reading the margin of safety off the vertical money axis instead of the horizontal output axis.
- Labelling the area beyond the crossing as revenue rather than profit, so the chart is described but never interpreted.
- Shifting the whole total cost line upward when it is variable cost per unit that has risen, which should make the line steeper instead.
- Moving both the revenue line and the cost line for a single event, so the chart shows two changes rather than one.
- Redrawing the chart but never re-reading break-even or the margin of safety, so the diagram reaches no conclusion.
- Changing price and fixed costs together and then attributing the whole effect to one of them.
- Recalculating the figure but never asking whether the new output is achievable given current capacity and demand.
- Assuming a cost increase can simply be passed on in the price, which ignores competitor pricing and price elasticity of demand.
- Listing limitations without asking whether any of them actually bite for the business in the case, so the answer never reaches a judgement.
- Treating the break-even output as a forecast of sales rather than as the minimum level of sales the business must reach.
- Dismissing the technique because markets change, when the calculation can simply be rerun with updated figures.
- Believing that fixed costs never change under any circumstance: fixed costs remain constant in relation to output only within a given time period and relevant range of capacity (e.g. rent increases if factory footprint expands).
- Confusing contribution with profit: contribution pays off fixed overheads first; profit is realised only after total fixed costs have been fully recovered.
- Assuming price cuts invariably increase revenue: price reductions only raise total revenue if product demand is price elastic (PED > 1).
Revision Plan
- 1Day 1-2: Master and memorise all standard formulas (Total Revenue, Total Variable Cost, Total Cost, Unit Contribution, Break-even Output, Margin of Safety, and Operating Margin).
- 2Day 3-4: Practice graphical interpretation, plotting break-even charts accurately with fully labelled axes, revenue lines, total cost curves, and margin of safety brackets.
- 3Day 5-6: Work through multi-step numerical calculation questions involving changes in input costs, supplier price hikes, and capacity adjustments.
- 4Day 7: Write timed 10-mark and 12-mark evaluation essays assessing business responses to rising costs (e.g. supply chain inflation vs. cost leadership).
Exam Question Types
- 📋Short quantitative calculation questions (2-4 marks): testing accurate application of break-even, contribution, or margin formulas.
- 📋Data-response interpretative questions (6-8 marks): analysing financial statements, cost breakdowns, and graphical data to diagnose operational problems.
- 📋Extended evaluative essays (10-12 marks): assessing the merits and drawbacks of strategies to improve revenue or rationalise costs within a specific case context.
Command Word Expectations (EDUQAS)
Accurately apply the correct formula using context data. Always include full workings, intermediate steps, and correct currency units or volume metrics.
Examine the logical cause-and-effect chain of a financial change (e.g. how rising unit variable costs erode contribution and shift the break-even point rightward), linking clearly to the case context.
Weigh up opposing arguments or options using balanced analysis, concluding with a fully justified, contextual judgement that directly answers the question prompt.
How Students Lose Marks (Examiner Pitfalls)
Step-by-Step Worked Solutions
Question: Apex Manufacturing produces eco-friendly packaging. Each unit sells for £8.50. Direct material and labour costs are £3.70 per unit. Fixed overheads total £168,000 per annum. Calculate the margin of safety in units if the business currently operates at an output of 42,000 units per year.
- 1.Step 1: Calculate contribution per unit using the formula: Selling Price - Variable Cost per Unit (£8.50 - £3.70 = £4.80).
- 2.Step 2: Calculate the break-even output using: Total Fixed Costs / Contribution per Unit (£168,000 / £4.80 = 35,000 units).
- 3.Step 3: Calculate the margin of safety: Actual Output - Break-even Output (42,000 units - 35,000 units = 7,000 units).
Question: A firm sells 25,000 units at £12.00 each. Total costs are £220,000, of which 40% are fixed costs. If unit sales increase by 20% while selling price and cost structures remain unchanged, calculate the firm's new operating profit.
- 1.Step 1: Deconstruct existing costs. Fixed costs = 40% of £220,000 = £88,000. Total variable costs = 60% of £220,000 = £132,000. Variable cost per unit = £132,000 / 25,000 units = £5.28.
- 2.Step 2: Calculate new output level. New volume = 25,000 x 1.20 = 30,000 units.
- 3.Step 3: Calculate new total revenue. 30,000 units x £12.00 = £360,000.
- 4.Step 4: Calculate new total costs. New total variable costs = 30,000 x £5.28 = £158,400. Total costs = £158,400 + £88,000 (fixed costs remain constant) = £246,400.
- 5.Step 5: Calculate new operating profit. Total Revenue - Total Costs = £360,000 - £246,400 = £113,600.