Break-Even Analysis for Garment Factories with a Changing Sales Mix

A piece target needs a product mix

A factory can meet its monthly piece target and still lose money. One reason is that the pieces no longer earn the contribution assumed in the budget. A basic top and an overshirt may each count as one finished garment, yet they bring different revenue, use different materials, and occupy different amounts of scarce machine time.

Break-even analysis asks how much the factory must sell to cover the costs included in a stated model. It can give managers a useful warning before a weak order book becomes a loss. The answer is conditional, though. A target of 15,000 pieces means little unless the report also names the styles, selling prices, cost basis, period, and available capacity.

The examples below use a hypothetical garment factory and currency units, shown as CU. They are teaching examples, not industry price or margin benchmarks. Their purpose is to build a model that a production manager and an accountant can check together.

Decide which result the model will measure

Set the period and profit boundary

Use one clear period, such as a month, for both sales and fixed costs. Annual rent beside one month's contribution will produce a wrong answer even when the formula is correct.

This article calculates monthly operating profit before finance costs and income tax. Depreciation is included in fixed operating costs. There are no changes in inventory in the main example: the factory makes and sells the same garments within the period. Later sections explain why stock and payment timing need separate treatment.

An order contribution report has a different boundary from a whole-factory profit report. A positive contribution from one order does not mean that the factory has covered rent, regular payroll, and other monthly costs. Nor does a loss against an allocated overhead charge prove that cancelling the order will save that charge.

State these boundaries at the top of the working sheet. Readers should be able to tell whether the result covers one department, one factory, or the whole company without opening another file.

Separate costs by how they behave

A variable cost changes with the activity used in the model. A fixed cost stays unchanged within a stated activity range and time period. A mixed cost has both parts. The distinction concerns cost behaviour, not whether an expense sounds like a production expense. OpenStax's cost-behaviour chapter explains these categories and the limits of the relevant range.

For this hypothetical month, regular employees remain on the same paid schedule across the volumes being compared. Their pay belongs in the fixed pool. Materials, specified outside processing, and other charges that rise with the number sold belong in variable cost. Overtime would need its own treatment if a scenario required it.

The example's fixed pool is:

These are assumed amounts. In a real model, reconcile the groups to the accounts and explain any excluded expense. A utility bill may contain both a standing charge and a usage charge. Treating its whole value as variable could overstate the saving from lower output.

Avoid counting regular payroll twice. If it is in fixed cost, a variable conversion charge cannot include the same pay again. A full cost-per-minute quotation may contain fixed overhead recovery. It therefore cannot always be used as a variable unit cost without adjustment. ApparelDiary's garment costing and CM-price guide helps identify that cost boundary.

Make the inputs traceable

Give each product row a price source, cost date, currency, and unit. A dozen price entered beside a piece cost can create a large margin that does not exist. If orders use different currencies, state the planning exchange rates and show a separate rate-change scenario.

The same style may need several rows when its orders have different prices or processing routes. Combining those orders first can hide a low-margin commitment. Calculate their contribution separately, then add the amounts. A weighted average is useful only when its underlying quantities are visible.

Variable cost also needs a saleable-output basis. If an estimate already includes expected material loss, do not add the same allowance again as a separate expense. If it excludes loss, the cost of supplying one acceptable garment may be understated. Unused material returned to stores is different from material consumed or scrapped.

For uncertain inputs, retain a range rather than insert a confident-looking decimal. A pending freight quote might justify two scenarios. It does not justify borrowing last month's charge without checking the shipment size and terms. The working sheet should make that uncertainty easy to find.

Start with contribution per garment

Contribution is selling revenue less the variable costs assigned to those sales. It is the amount left to cover fixed costs and then provide operating profit.

For one product:

Contribution per piece = selling price per piece − variable cost per piece

Break-even pieces = fixed costs ÷ contribution per piece

A result only exists in this simple model when contribution per piece is positive. If price equals variable cost, extra units make no contribution to fixed cost. If price is lower, extra sales deepen the loss under the stated assumptions.

Suppose a separate, single-product example has fixed costs of CU12,000 and contribution of CU3 per piece. It needs 4,000 sales to cover those costs. At 4,500 sales, contribution is CU13,500 and operating profit is CU1,500. This calculation assumes that prices and cost behaviour remain valid at both volumes.

The two-product factory needs another step. It must combine contributions using a stated mix rather than take an unweighted average of the two products.

Build a complete two-product calculation

The factory's expected sales mix is three basic tops for every two overshirts. The mix is based on pieces, not revenue. Its assumed unit figures are:

Net price means the revenue amount used in the forecast after the applicable commercial adjustments. Use the same basis for both styles. A price before an agreed discount should not be compared with another style's price after discount.

Treat three tops and two overshirts as one calculation group. This is often called a composite unit. It is a mathematical grouping; the customer does not need to buy a five-piece pack. OpenStax's multi-product analysis describes this approach and why it depends on the mix.

The contribution from one group is:

(3 × CU3) + (2 × CU5) = CU19

Each group brings revenue of (3 × CU8) + (2 × CU14) = CU52. Its variable cost is CU33, leaving the same CU19 contribution.

With fixed costs of CU57,000:

Break-even groups = 57,000 ÷ 19 = 3,000

That means 9,000 tops and 6,000 overshirts, or 15,000 garments in total. The whole result can be checked without a special calculator:

The weighted contribution per piece is CU19 divided by five, or CU3.80. Dividing fixed costs by CU3.80 gives the same 15,000-piece result. Keep the weights beside the number; CU3.80 is not a permanent property of the factory.

Check the revenue version too

The contribution-to-sales ratio is total contribution divided by total revenue for the planned mix. Here it is 19 ÷ 52, or about 36.54%. Break-even revenue is 57,000 ÷ (19 ÷ 52) = CU156,000.

Use the unrounded ratio in the calculation. Rounding it to 37% too early lowers the reported revenue target. ACCA's CVP analysis explains the weighted ratio, target profit, and margin of safety.

A piece mix and a revenue mix are different sets of weights. In this example, tops form 60% of pieces but only 24 ÷ 52, or about 46.15%, of revenue. Applying the 60% piece share to the two products' contribution percentages will not give the correct overall ratio.

See what happens when the mix changes

Now suppose demand moves toward basic tops. The new mix is five tops for every one overshirt, with prices and variable costs unchanged. One six-piece group contributes:

(5 × CU3) + (1 × CU5) = CU20

Weighted contribution falls to 20 ÷ 6, or about CU3.33 per piece. At the old 15,000-piece target, the factory sells 12,500 tops and 2,500 overshirts. They contribute CU50,000, leaving a CU7,000 operating loss.

The new break-even target is 57,000 ÷ 20 = 2,850 six-piece groups. That requires 14,250 tops and 2,850 overshirts: 17,100 garments altogether.

The revised mix needs more pieces but slightly less revenue to break even. That is possible because the top has a higher contribution percentage of its selling price, even though it contributes less per garment. This is why a revenue target and a piece target cannot be compared without their mix assumptions.

The response should start with the order book. Is the mix shift a temporary shipment delay, a confirmed buyer change, or an optimistic sales forecast? Each explanation implies a different action. Producing overshirts without customer demand would not repair the sales mix.

Set a profit target and test its margin of safety

Return to the original 3:2 mix. If the factory wants CU19,000 operating profit, it needs contribution of CU76,000:

Required groups = (57,000 + 19,000) ÷ 19 = 4,000

That is 20,000 pieces and CU208,000 revenue, provided no cost or capacity assumption changes. The final qualification matters; the next sections test it.

Suppose the initial budget instead contains 18,000 sales in the original mix. It consists of 10,800 tops and 7,200 overshirts. Total contribution is CU68,400, giving CU11,400 profit.

The margin of safety is 3,000 pieces: the gap between 18,000 planned sales and the 15,000 break-even level. As a percentage of planned sales, it is 3,000 ÷ 18,000 × 100 = 16.67%.

That percentage describes a volume reduction at the assumed mix and margins. It does not mean the factory can absorb any combination of price cuts, extra waste, and shipment delay up to 16.67%. Those changes affect different parts of the model.

Consider two separate shocks to the 18,000-piece budget. A CU0.40 cut in the top's price removes 10,800 × 0.40 = CU4,320 from profit. A CU0.60 increase in the overshirt's variable cost also removes 7,200 × 0.60 = CU4,320.

If both happen, forecast profit falls from CU11,400 to CU2,760. The piece count remains 18,000. Reporting only the number of garments would hide most of the lost profit.

Neither change is a forecast here. They are sensitivity tests that help a manager decide which commercial terms and cost estimates need attention first.

Explain a forecast change in a fixed order

A short bridge can show why the current forecast differs from the budget. Start with the same 18,000-piece budget and its CU11,400 profit. Now assume the latest order book has 15,000 tops and 3,000 overshirts. This is the revised 5:1 mix, while total pieces remain unchanged.

At the original prices and costs, those sales contribute CU60,000. The mix change alone removes CU8,400 from budget profit. Next apply the CU0.40 top-price cut to the revised 15,000 top quantity. That removes CU6,000. Finally, apply the CU0.60 overshirt cost increase to the revised 3,000 overshirts, removing CU1,800.

The final result can be checked directly: 15,000 × 2.60 + 3,000 × 4.40 − 57,000 = −CU4,800. Here the top contributes CU2.60 and the overshirt CU4.40 after their respective changes.

State the bridge order because another valid sequence can allocate the interaction between mix and price differently. The total profit change must still agree. This bridge separates commercial changes from physical output; it does not label the entire shortfall as poor sewing performance.

Make sure the break-even mix can fit through the factory

A mathematically sound sales target may be impossible to make. Check the relevant capacity by operation before treating it as an achievable plan.

Assume that the top needs 1.5 effective minutes at the month's limiting operation, while the overshirt needs four. These are assumed requirements on the same time basis as the available capacity. Setup and expected losses are already allowed for in that capacity figure.

The original five-piece group uses (3 × 1.5) + (2 × 4) = 12.5 minutes. Producing the 3,000 groups needed to break even requires 37,500 minutes.

If only 35,000 minutes are available, the factory can make 2,800 such groups. They contain 14,000 garments and yield CU53,200 contribution. Even with all those garments sold, the model shows a CU3,800 loss.

The question has changed. It is no longer simply how many pieces to target, but whether the factory can improve the margin, change the accepted order mix, obtain suitable capacity, or reduce costs that can actually be avoided.

Contribution per scarce minute

The top contributes 3 ÷ 1.5 = CU2.00 per scarce minute. The overshirt contributes 5 ÷ 4 = CU1.25. The overshirt wins on contribution per garment, while the top wins on contribution per limiting minute.

ACCA's limiting-factor explanation distinguishes this contribution calculation from throughput accounting. Do not change the cost definition halfway through a ranking.

Even the better ranking cannot create demand. Suppose orders are freely selectable for this example, with demand limited to 10,000 tops and 6,000 overshirts. Making the 10,000 tops first uses 15,000 minutes. The remaining 20,000 minutes can make 5,000 overshirts. Total contribution is CU55,000, still CU2,000 short of fixed costs.

This comparison assumes one binding resource and no minimum order commitments or other restrictions. Real buyer commitments, skill limits, material availability, and due dates may prevent that choice. With several linked constraints, use a fuller model such as the approach in ApparelDiary's linear programming guide.

Recalculate when extra volume triggers another cost

Capacity often expands in steps. A second shift, rented equipment, or a support team can add a cost that does not rise smoothly with each piece.

Consider a separate capacity scenario using the original 3:2 mix. Assume the current arrangement can support up to 18,000 monthly sales. Going above that level requires an approved support package costing CU9,000 for the month. It raises capacity to 23,000 pieces. The variable unit costs remain unchanged in this example.

Fixed costs above the threshold become CU66,000. The earlier target of 20,000 pieces now earns CU76,000 contribution but only CU10,000 profit. The CU19,000 profit target needs a new calculation:

Required groups = (66,000 + 19,000) ÷ 19 = 4,473.68

Rounding up to 4,474 complete groups gives 22,370 pieces and CU19,006 profit. This falls within the assumed 23,000-piece capacity. If it did not, another capacity and cost review would be needed.

There is also a sharp boundary effect. Under this deliberately rigid assumption, 18,000 pieces earn CU11,400 profit. One more five-piece group triggers the full package and leaves only CU2,419 profit. A slight volume rise can therefore reduce profit.

A real contract may allow overtime by the hour or a smaller capacity increment. Model those actual terms rather than impose the example's threshold. The purpose of the test is to expose the cost of crossing the boundary before committing to the higher volume.

Keep sales, inventory and cash distinct

Finished garments waiting in the warehouse are not automatically sales. For entities applying IFRS, IFRS 15 links revenue recognition to satisfaction of the relevant performance obligation and transfer of control. The contract and accounting policy matter; a factory output report cannot decide that date by itself.

If production exceeds sales, reconcile the contribution model to the financial accounts. Under IAS 2, inventory conversion cost includes production overhead, with fixed overhead allocation based on normal capacity. A simple contribution model treats the period's fixed costs differently. Changes in stock can therefore create a difference between the model and reported profit.

More production is not a sound way to conceal weak sales. It can tie up materials and cash, and it may leave styles that cannot be sold at the expected price. The report should show sold quantities and closing stock separately.

Cash timing presents another issue. A profitable shipment may be paid after payroll and supplier bills fall due. Conversely, a customer deposit can provide cash before the related revenue is earned. Removing depreciation from fixed costs alone does not produce a complete cash forecast. Receivables, stock purchases, payment terms, taxes, debt payments, and capital spending also have dates and amounts.

Use the result to frame a decision

A break-even report should end with a choice that someone can act on. For the constrained factory, that might be a priced capacity option, a revised buyer mix, or a confirmed cost reduction. Each option needs a new calculation using the costs it changes.

Do not reject a product solely because a share of head-office cost makes its reported margin negative. If removing it leaves that cost unchanged, the factory may lose contribution without gaining the claimed saving. ACCA's relevant-cost guidance focuses on future cash flows changed by a decision, including costs or revenue given up elsewhere.

For the monthly review, preserve the original budget and add a current forecast beside it. Explain changes in price, unit variable cost, mix, fixed cost, and capacity. A buyer's revised quantity should alter the sales weights; an approved extra shift should alter both available time and its costs.

The most useful target is therefore a small set of linked figures: garments by product, contribution, operating profit, and the capacity needed to deliver them. When those figures agree with the order book and the cost records, managers can see why a target is feasible and what would cause it to fail.

References

• ACCA: Cost-volume-profit analysis, including weighted ratios and model assumptions.

• OpenStax: Multi-product break-even sensitivity analysis, for the composite-unit method.

• OpenStax: Basic cost behaviour patterns, for cost categories and relevant ranges.

• ACCA: Throughput accounting and limiting factors, for the distinction between contribution and throughput measures.

• IFRS Foundation: IFRS 15 Revenue from Contracts with Customers.

• IFRS Foundation: IAS 2 Inventories, especially paragraphs 12–13 on conversion cost and normal capacity.

• ACCA: Relevant costs, for decision-specific cash flows and avoidable costs.