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The ladder / Level 3 · Manufacturer/ Business math

Pricing to an OEM, make-or-buy and operating leverage

Cost-plus quotes, price-downs and annual price reductions, the cost cut needed to hold margin, relevant costs for make-or-buy, and degree of operating leverage.

How numbers are rounded on these pages. Calculations are done at full precision and rounded only at the end, half up. Rupee amounts are rounded to the nearest rupee unless shown with paise, in which case to the nearest paisa. Percentages are shown to two decimal places; payback periods in years, and ratios such as degree of operating leverage, to two decimal places. Quantities you must start, buy or sell to reach a target are rounded up to the next whole unit or kg. Depreciation uses textbook straight line and written down value methods, not the rates or lives set by tax or company law. All examples and quiz questions are Hypothetical: they show the method, not real prices or rates.

Pricing as a supplier to an OEM

An OEM (original equipment manufacturer) is the brand that designs, assembles and sells the finished product under its own name, such as a car or appliance maker. As a component supplier you usually quote cost-plus: your full cost per part plus a markup. The OEM will often ask for a price-down (a one-time cut) or an annual price reduction (a percentage cut every year of the contract, often called an annual price-down).

Annual reductions compound: 3% a year for three years is not 9%. To keep your margin, your own cost must fall by the same percentage each year, through better yield, cycle time or material buying. If cost stays put, the cut comes straight out of your profit. Contract terms differ by OEM and part.

The standard formulas

Cost-plusCost-plus price = Full cost per unit × (1 + Markup %)
Price reductionsPrice after a price-down = Price × (1 − Cut %)Price after n annual reductions = P × (1 − r)n
Cost cut neededKeep the same margin %: New cost = New price × (1 − Margin %)Keep the same rupee profit: Cost must fall by the rupee price cut

Terms used

OEM (original equipment manufacturer)
The brand that sells the finished product under its own name and buys parts from suppliers.
Tier 1 supplier
A supplier that sells directly to the OEM; tier 2 sells to tier 1.
Cost-plus pricing
Price set as cost plus a markup percentage.
Price-down
A reduction in the part price demanded by the customer.
Annual price reduction
A percentage price cut applied each contract year, compounding on the previous year's price.

Worked examples

HypotheticalBasicA cost-plus quote

A supplier's full cost for a pressed bracket is ₹200; it quotes a 15% markup.

  • Price = ₹200 × 1.15 = ₹230; margin = ₹30 ÷ ₹230 = 13.04%

HypotheticalIntermediateThree years of 3% annual price reductions

The OEM asks for 3% a year off the ₹230 price for three years, each cut applied to the previous year's price.

  • Year 1: ₹230 × 0.971 = ₹223.10
  • Year 2: ₹230 × 0.972 = ₹216.41
  • Year 3: ₹230 × 0.973 = ₹209.91
  • Total reduction = 1 − 0.973 = 8.73%, not 9%

HypotheticalAdvancedWhat the cuts do to margin, and the cost target

The supplier sells 1,00,000 brackets a year.

  • If cost stays at ₹200: year-3 margin = (₹209.91 − ₹200) ÷ ₹209.91 = 4.72%, down from 13.04%
  • Yearly profit falls by ₹230 × (1 − 0.973) × 1,00,000 = ₹20,08,521
  • To keep the 13.04% margin, cost must fall by the same 8.73%: ₹200 × 0.973 = ₹182.53, a cut of ₹17.47 a part

Make or buy

Should you make a part yourself or buy it from another supplier? Compare the buy price with the relevant cost of making: only the costs that would actually change. That is the variable cost, plus any fixed cost you would avoid by buying (a supervisor you would not need, a tool you would not rent), plus any opportunity cost: the contribution you give up if making this part uses capacity that could make something else.

Fixed overheads allocated to the part but paid anyway (factory rent, the plant manager's salary) are not relevant. Also weigh things not in the numbers: quality, delivery reliability, dependence on one supplier, and whether the OEM must approve a change of source.

The standard formulas

Relevant cost of making = Variable cost + Avoidable fixed costs + Opportunity cost
DecisionMake if Relevant cost of making < Buy price × Units (plus any buying costs)
Indifference pointVolume at which make and buy cost the same = Avoidable fixed costs of makingBuy price − Variable cost of making

Terms used

Relevant cost
A future cash cost that differs between the options.
Avoidable cost
A cost that would not be incurred if you chose the other option.
Unavoidable (committed) cost
A cost you pay whichever option you choose; irrelevant to the decision.
Opportunity cost
The benefit given up by choosing one use of a resource over another.

Worked examples

HypotheticalBasicFull cost misleads

A bracket costs ₹60 variable (material, labour, variable overhead) plus ₹12 of allocated factory overhead that is paid anyway: full cost ₹72. A supplier quotes ₹68.

  • Full cost says buy (₹68 < ₹72), but the ₹12 stays whichever you choose.
  • Relevant cost of making = ₹60; making saves ₹8 a part

HypotheticalIntermediateAn avoidable fixed cost

20,000 brackets a year. Making them needs a dedicated supervisor costing ₹2,40,000 a year, avoidable if you buy.

  • Make = 20,000 × ₹60 + ₹2,40,000 = ₹14,40,000; buy = 20,000 × ₹68 = ₹13,60,000
  • Buying saves ₹80,000 a year
  • Indifference point = ₹2,40,000 ÷ (₹68 − ₹60) = 30,000 brackets a year; above that, making is cheaper

HypotheticalAdvancedCounting the opportunity cost

A different part: 10,000 a year, variable cost to make ₹110, supplier price ₹125. If bought, the freed machine time could make another product with ₹2,00,000 a year of contribution.

  • Make = 10,000 × ₹110 + ₹2,00,000 opportunity cost = ₹13,00,000
  • Buy = 10,000 × ₹125 = ₹12,50,000
  • Buying is cheaper by ₹50,000, although on variable cost alone making looked ₹1,50,000 cheaper

Operating leverage

A plant with heavy fixed costs (automation, big presses) and low variable cost per unit makes a lot of extra profit when sales rise, and loses profit fast when they fall. Operating leverage measures this. The degree of operating leverage (DOL) tells you roughly how many per cent operating profit moves for each 1% change in sales, if prices and the cost structure stay the same.

High leverage is good in a growing market and risky when an OEM cuts its schedules. DOL also changes as sales change, so it is a snapshot at today's level.

The standard formulas

Contribution = Sales − Variable costsOperating profit = Contribution − Fixed costs
Degree of operating leverageDOL = ContributionOperating profit
Using it% change in operating profit ≈ DOL × % change in sales

Terms used

Operating leverage
The effect of fixed costs on how much operating profit changes when sales change.
Degree of operating leverage (DOL)
Contribution ÷ operating profit, at a given sales level.
Operating profit
Profit before interest and tax (earnings before interest and tax, EBIT).

Worked examples

HypotheticalBasicWorking out DOL

Sales ₹50,00,000, variable costs ₹30,00,000, fixed costs ₹12,00,000.

  • Contribution = ₹20,00,000; operating profit = ₹8,00,000
  • DOL = ₹20,00,000 ÷ ₹8,00,000 = 2.50

HypotheticalIntermediateChecking DOL with a 10% sales rise

Sales rise 10% with the same price and costs.

  • New contribution = ₹22,00,000; new operating profit = ₹10,00,000
  • Profit rise = ₹2,00,000 ÷ ₹8,00,000 = 25.00% = 2.50 × 10%

HypotheticalAdvancedTwo plants when the OEM cuts volumes

Plant A is automated: same sales ₹50,00,000, variable costs ₹20,00,000, fixed costs ₹22,00,000. Plant B is the plant above. Both earn ₹8,00,000.

  • A: contribution ₹30,00,000; DOL = ₹30,00,000 ÷ ₹8,00,000 = 3.75. B: DOL 2.50
  • Sales fall 20%. A: profit = ₹24,00,000 − ₹22,00,000 = ₹2,00,000 (down 75.00%)
  • B: profit = ₹16,00,000 − ₹12,00,000 = ₹4,00,000 (down 50.00%)

Quiz: pricing to an OEM, make-or-buy and operating leverage

Pick an answer to see at once whether it is right, with a short explanation. Each question takes one try; your score appears at the end. No answers are sent anywhere. (Without JavaScript, open “Show answer” under each question.)

  1. Pricing to an OEM · BasicYour full cost for a part is ₹500 and you quote a 12% markup. Price?
    Show answer

    Answer: (b) ₹560.00

    ₹500 × 1.12 = ₹560.00.

    Why the other options are wrong:

    • (a) That gives a 12% margin, not a 12% markup.
    • (c) That adds ₹12, not 12%.
    • (d) That takes 12% off.
  2. Pricing to an OEM · BasicThe OEM demands a 4% price-down on a part priced at ₹250. New price?
    Show answer

    Answer: (c) ₹240

    ₹250 × 0.96 = ₹240.

    Why the other options are wrong:

    • (a) That takes ₹4 off, not 4%.
    • (b) That adds 4%.
    • (d) That is the cut, not the new price.
  3. Pricing to an OEM · IntermediateA ₹1,000 part has a 3% annual price reduction, each year applied to the previous year's price. Price after three reductions?
    Show answer

    Answer: (c) ₹912.67

    ₹1,000 × 0.973 = ₹912.67.

    Why the other options are wrong:

    • (a) That takes 9% off once; reductions compound.
    • (b) That is after two reductions.
    • (d) That is after one reduction.
  4. Pricing to an OEM · IntermediatePrice ₹400, cost ₹360. The OEM cuts the price by 5%. To keep the same rupee profit per part, cost must fall by:
    Show answer

    Answer: (b) ₹20

    The price falls by ₹20 (to ₹380), so cost must fall by ₹20 (to ₹340) to keep ₹40 profit.

    Why the other options are wrong:

    • (a) That cuts cost by 5%, which keeps the margin % but not the rupee profit.
    • (c) That is the whole profit per part.
    • (d) That is the new price.
  5. Pricing to an OEM · AdvancedSame part (price ₹400, cost ₹360, a 10% margin). After the 5% cut, what cost keeps the margin at 10%?
    Show answer

    Answer: (b) ₹342

    ₹380 × (1 − 10%) = ₹342.

    Why the other options are wrong:

    • (a) That keeps the rupee profit, which is a higher margin % on a lower price.
    • (c) That leaves cost unchanged.
    • (d) That adds 10% to the new price.
  6. Pricing to an OEM · AdvancedYou sell 50,000 parts a year at ₹600; cost ₹540. The OEM asks for a 2% price-down; you save ₹4 a part with a process change. New yearly profit?
    Show answer

    Answer: (d) ₹26,00,000

    New price ₹588, new cost ₹536, profit ₹52 × 50,000 = ₹26,00,000 (down from ₹30,00,000).

    Why the other options are wrong:

    • (a) That is the old profit.
    • (b) That ignores the ₹4 cost saving.
    • (c) That counts the ₹4 saving twice.
  7. Make or buy · BasicVariable cost to make a part is ₹45; a supplier offers ₹50. Your fixed costs will not change either way. Which is cheaper?
    Show answer

    Answer: (b) Make, saving ₹5 a part

    Relevant cost of making ₹45 is below the ₹50 price.

    Why the other options are wrong:

    • (a) Buying costs ₹50, making ₹45.
    • (c) The saving is the difference, ₹5.
    • (d) There is a ₹5 difference.
  8. Make or buy · BasicWhich cost is irrelevant to a make-or-buy decision?
    Show answer

    Answer: (c) Factory rent allocated to the part, paid anyway

    Costs that stay whichever option you choose do not affect the decision.

    Why the other options are wrong:

    • (a) It is saved if you buy: relevant.
    • (b) Avoidable: relevant.
    • (d) Saved if you buy: relevant.
  9. Make or buy · IntermediateMaterial ₹30, labour ₹12 (avoidable), variable overhead ₹8, allocated fixed overhead ₹15 (unavoidable). Supplier price ₹58. Relevant cost of making?
    Show answer

    Answer: (c) ₹50

    ₹30 + ₹12 + ₹8 = ₹50; so making is ₹8 cheaper.

    Why the other options are wrong:

    • (a) That includes unavoidable overhead.
    • (b) That is the buy price.
    • (d) That leaves out variable overhead.
  10. Make or buy · Intermediate12,000 parts a year. Making: ₹50 variable a part plus ₹1,20,000 avoidable fixed cost. Buying: ₹58 a part. Which is cheaper, by how much a year?
    Show answer

    Answer: (b) Buy, by ₹24,000

    Make = 12,000 × ₹50 + ₹1,20,000 = ₹7,20,000; buy = 12,000 × ₹58 = ₹6,96,000.

    Why the other options are wrong:

    • (a) That ignores the avoidable fixed cost.
    • (c) That ignores the variable cost difference.
    • (d) Make costs ₹7,20,000; buy ₹6,96,000.
  11. Make or buy · AdvancedSame figures. At what yearly volume do make and buy cost the same?
    Show answer

    Answer: (c) 15,000 parts

    ₹1,20,000 ÷ (₹58 − ₹50) = 15,000 parts. Above that, making is cheaper.

    Why the other options are wrong:

    • (a) That divides by the buy price.
    • (b) That divides by the variable cost.
    • (d) That is the current volume.
  12. Make or buy · Advanced8,000 parts a year: variable cost to make ₹80, buy price ₹90. If you buy, the freed machine can make another part earning ₹1,00,000 of contribution. Which is cheaper?
    Show answer

    Answer: (b) Buy, by ₹20,000

    Make = 8,000 × ₹80 + ₹1,00,000 = ₹7,40,000; buy = 8,000 × ₹90 = ₹7,20,000. Buy saves ₹20,000.

    Why the other options are wrong:

    • (a) That ignores the opportunity cost.
    • (c) That ignores the ₹10 a part difference.
    • (d) With the opportunity cost, making costs ₹7,40,000 against ₹7,20,000.
  13. Operating leverage · BasicContribution is ₹15,00,000 and operating profit ₹5,00,000. DOL?
    Show answer

    Answer: (b) 3.00

    ₹15,00,000 ÷ ₹5,00,000 = 3.00.

    Why the other options are wrong:

    • (a) That divides the wrong way round.
    • (c) That subtracts, in lakh.
    • (d) That adds, in lakh.
  14. Operating leverage · BasicDOL is 4. Sales rise 5% (same prices and cost structure). Operating profit rises by about:
    Show answer

    Answer: (d) 20.00%

    4 × 5% = 20.00%.

    Why the other options are wrong:

    • (a) That adds DOL and the sales change.
    • (b) That divides 5% by 4.
    • (c) That ignores leverage.
  15. Operating leverage · IntermediateSales ₹80,00,000, variable costs ₹48,00,000, fixed costs ₹24,00,000. DOL?
    Show answer

    Answer: (c) 4.00

    Contribution ₹32 lakh; profit ₹8 lakh; DOL = 4.00.

    Why the other options are wrong:

    • (a) That is sales ÷ fixed costs.
    • (b) That divides contribution by fixed costs.
    • (d) That divides sales by profit.
  16. Operating leverage · IntermediateAll else equal, which plant has the higher operating leverage?
    Show answer

    Answer: (a) One with more fixed costs and lower variable cost per unit

    Fixed costs are the lever: they stay put while contribution moves with sales.

    Why the other options are wrong:

    • (b) That plant's profit moves less with sales.
    • (c) Same sales can come with very different cost structures.
    • (d) Price alone does not decide it.
  17. Operating leverage · AdvancedDOL is 2.5 and operating profit ₹10,00,000. Sales fall 12% (same prices and cost structure). New operating profit?
    Show answer

    Answer: (b) ₹7,00,000

    Profit falls 2.5 × 12% = 30%: ₹10,00,000 × 0.70 = ₹7,00,000.

    Why the other options are wrong:

    • (a) That cuts profit by 12%, ignoring leverage.
    • (c) That is the fall, not the new profit.
    • (d) Profit falls when sales fall.
  18. Operating leverage · AdvancedSales ₹1,00,00,000; variable costs are 60% of sales; fixed costs ₹30,00,000. Sales fall 15%. Change in operating profit?
    Show answer

    Answer: (c) Falls by 60.00%

    Contribution ₹40 lakh, profit ₹10 lakh, DOL 4. New contribution ₹34 lakh − ₹30 lakh = ₹4 lakh, a fall of 60.00%.

    Why the other options are wrong:

    • (a) That ignores leverage.
    • (b) That is the contribution ratio, not the profit change.
    • (d) That is 15% of the 40% contribution ratio.