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Concepts of Cost — Notes

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1. Kinds of cost

  • Explicit cost: payment to outsiders (wages, materials, rent paid).
  • Implicit cost: imputed value of the owner's own factors (own shop, savings, time); not in the books.
  • Economic cost = explicit + implicit.
  • Money cost: rupee spending. Real cost: toil, risk and sacrifice of factor owners.
  • Private cost: cost borne by the firm. Social cost = private cost + external cost imposed on others.
Table comparing explicit and implicit costs: explicit costs are payments to outsiders and appear in the books; implicit costs are the imputed value of the owner's own factors and are counted by economists but not by accountants
Explicit costImplicit cost
MeaningActual payment to outsidersImputed value of the owner's own factors
Imagined Bhopal tailorCloth, thread, assistant's wageRent of her own shop, her forgone salary
In the account books?YesNo
Counted by economists?YesYes
Imagined Pali dyeing unit: ₹4,00,000 + ₹1,50,000 = ₹5,50,000
Table of money cost, real cost and economic cost with examples from an imagined jaggery unit: rupee spending, the toil and sacrifice of the people involved, and explicit plus implicit costs
ConceptWhat it measuresImagined Kolhapur jaggery unit
Money costRupee spending on inputs and hired factorsCane, fuel, helpers' wages
Real costToil, risk and sacrifice of factor ownersThe family's nights at the boiling pans
Economic costExplicit plus implicit costsPayments plus the family's forgone income

Key terms

Implicit cost

The imputed value of factors owned and supplied by the firm's owner, for which no payment is made.

Social cost

The total cost to society of producing a good: private cost plus external cost.

2. Opportunity cost; accounting and economic profit

Opportunity cost = value of the next best alternative forgone. A resource with no alternative use has zero opportunity cost.

Accounting profit = revenue − explicit costs. Economic profit = accounting profit − implicit costs. A firm can show an accounting profit yet make an economic loss.

Opportunity cost of cotton = next best alternative = ₹65,000
Use of the land for one seasonIncome (₹)Rank
Cotton80,000Chosen
Soybean65,000Next best
Lease to a neighbour50,000Third
Imagined figures: economic profit = accounting profit − implicit costs.
StepWorking (₹ a month)Result
Accounting profit2,40,000 − 1,85,00055,000
Implicit costs40,000 salary + 10,000 rent50,000
Economic profit55,000 − 50,0005,000

Key terms

Opportunity cost

The value of the next best alternative given up when a resource is used in a particular way.

Economic profit

Revenue minus explicit and implicit costs.

3. Short-run total costs

TFC: does not change with output; horizontal line; paid even at zero output.

TVC: zero at zero output; rises first at a decreasing rate, then at an increasing rate.

TC = TFC + TVC: same shape as TVC, starting at the TFC level; the vertical gap TC − TVC = TFC is constant.

Imagined figures: TC = TFC + TVC, so TC runs parallel to TVC, TFC above it.
Table comparing fixed and variable costs: fixed costs do not change with output and are paid even at zero output; variable costs change with output and are zero when nothing is produced; in the long run all costs are variable
Fixed costVariable cost
Changes with output?NoYes
At zero outputStill paidZero
Imagined Haldwani juice plantShed rent, loan interest, manager's salaryFruit, bottles, power, daily wages
Exists in the long run?NoYes (all costs)

Key terms

Fixed cost

Cost that does not vary with output in the short run.

Variable cost

Cost that varies directly with output and is zero at zero output.

4. Average and marginal costs

AFC = TFC ÷ Q (rectangular hyperbola). AVC = TVC ÷ Q. AC = TC ÷ Q = AFC + AVC. MC = TCn − TCn−1 = TVCn − TVCn−1; fixed cost does not affect MC.

To complete a schedule: from TC subtract TFC; from AVC multiply by Q; from MC add up successive values.

Table of short-run cost formulas and shapes: total cost is fixed plus variable cost; average fixed cost is fixed cost over output; average variable cost is variable cost over output; average cost is total cost over output; marginal cost is the change in total cost from one more unit
CostFormulaShape
TCTFC + TVCStarts at TFC; parallel to TVC
AFCTFC ÷ QRectangular hyperbola
AVCTVC ÷ QU-shaped
ACTC ÷ Q = AFC + AVCU-shaped, minimum to the right of AVC
MCTCn − TCn−1 = TVCn − TVCn−1U-shaped, turns up first
Imagined figures, ₹ a day.
JarsTCTVCAFCAVCACMC
0600————
110040604010040
21307030356530
31509020305020
418012015304530
523017012344650
Imagined figures: TVC from AVC × Q, then MC.
BellsAVCTVC = AVC × QTCMC
1303012030
2255014020
3226615616
4249618630
AFC × output = TFC at every point: a rectangular hyperbola.

Key terms

Marginal cost

The addition to total cost from producing one more unit of output.

Average cost

Total cost per unit of output; also called average total cost.

5. Relationships among MC, AVC and AC

  • MC below an average → the average falls; MC equal → average at its minimum; MC above → average rises.
  • MC therefore cuts AVC and AC at their lowest points; MC reaches its own minimum first, then AVC, then AC.
  • AC − AVC = AFC, so the curves approach each other but never meet.
  • U-shapes in the short run come from the law of variable proportions.
Imagined figures: MC turns up first, then cuts AVC and AC at their lowest points.
The rule holds for both AVC and AC.
When…Then the average…
MC is below itfalls
MC equals itis at its minimum
MC is above itrises
Imagined figures, ₹ hundred.
OutputTVCAVCMC
3993319
41122813
51252513
61442419
71752531
82242849

Key terms

Law of variable proportions

With some factors fixed, adding a variable factor first raises and later lowers its marginal product, so costs first fall and then rise.

6. Short-run and long-run cost curves (concepts only)

In the long run all factors are variable, so all costs are variable and there is no AFC.

Each plant size has its own SAC. The LAC shows the lowest average cost of each output when the best plant is chosen; it touches every SAC from below and is called the envelope or planning curve. It is flatter than any SAC and U-shaped because of economies and then diseconomies of scale. (Derivation of the curves is not required.)

Concept only (no derivation): the LAC is the envelope of the SACs.
Table comparing the short run and the long run: in the short run at least one factor and some costs are fixed and the average cost curve is a steeper U because of the law of variable proportions; in the long run all costs are variable and the long-run average cost curve is a flatter U, the envelope of short-run curves, because of economies and diseconomies of scale
Short runLong run
FactorsAt least one fixed (plant)All variable
CostsFixed and variableAll variable
AC curveSAC: steeper ULAC: flatter U, envelope of SACs
Reason for U-shapeLaw of variable proportionsEconomies, then diseconomies of scale

Key terms

Envelope curve

The long-run average cost curve, which touches each short-run average cost curve from below.

Economies of scale

Savings in average cost from a larger scale of production.

Exam tips

Common mistakes

  • Adding all alternatives to find opportunity cost instead of taking the next best.
  • Leaving implicit costs out when asked for economic profit.
  • Starting the TC curve at the origin, or drawing TFC as rising.
  • Computing MC as TC ÷ Q, or subtracting the next total cost instead of the previous one.
  • Saying AFC becomes zero, or that AC and AVC meet.
  • Explaining the U-shape of the long-run AC by fixed costs.

How marks are usually awarded

  • 1 mark: one correct option, value or term.
  • 2 marks: definition with an example, or formula and answer.
  • 3 marks: working for several values, or three explained points.
  • 5 marks: parts answered in order, with completed schedules or described diagrams and reasons.