VerifiedEvidence: highv1.0.0

Marginal Cost of Healthcare

The additional cost of providing one more unit of healthcare service, such as treating one further patient.

Last reviewedDarrin Baines IP Ltd

Concept Architecture

Concept


Theoretically, Diseconomies of Scale describe the phenomenon whereby the average cost of producing healthcare services increases as the scale of production expands beyond an efficient operating level. The concept arises from production theory and organisational economics, reflecting inefficiencies associated with excessive organisational size, management complexity, communication difficulties and resource coordination. In health economics, diseconomies of scale are considered when evaluating provider efficiency, hospital size, service centralisation and healthcare system performance.

Mathematically, diseconomies of scale occur when increases in output lead to increases in average cost. Within a cost function, this is characterised by a positive relationship between average cost and production beyond the minimum point of the average cost curve. The concept is frequently analysed using estimated cost functions and measures of scale economies derived from econometric models.

In practice, diseconomies of scale are investigated using hospital, clinic or healthcare system cost data. Econometric estimation of cost functions allows analysts to identify whether increasing patient volume is associated with rising average costs after controlling for case mix and other operational factors. Evidence of diseconomies of scale informs decisions regarding hospital mergers, service consolidation, optimal provider size and resource allocation.


Purpose


Used to determine whether increasing the scale of healthcare production leads to higher average costs, thereby informing decisions regarding provider size, service organisation and operational efficiency.


Mathematical Formulae

Primary Formula

AC(Q) = TC(Q) / Q

Diseconomies of scale exist when:

dAC(Q) / dQ > 0

Supporting Formulae

Scale elasticity of cost:

SE = MC / AC

Diseconomies of scale occur when:

SE > 1

where:

  • MC = marginal cost
  • AC = average cost

Related Mathematical Methods

  • Economies of Scale
  • Cost Function
  • Average Cost
  • Marginal Cost
  • Scale Elasticity
  • Econometric Cost Function Estimation

Example


A regional hospital expands annual outpatient activity from 45,000 to 70,000 visits. Total annual costs increase from �18 million to �31.5 million.

Average Cost at 45,000 visits:

�18,000,000 � 45,000 = �400 per visit

Average Cost at 70,000 visits:

�31,500,000 � 70,000 = �450 per visit

Because average cost increases as output expands, the hospital exhibits diseconomies of scale, suggesting that further expansion reduces operational efficiency.


Excel Implementation

FunctionExample FormulaHealth Economics Application
SLOPE=SLOPE(AverageCostRange,OutputRange)Assesses whether average cost increases with output.
LINEST=LINEST(CostRange,OutputRange,TRUE,TRUE)Estimates the underlying cost function.
SUM=TotalCost/OutputCalculates average cost at different production levels.
IF=IF(CurrentAC>PreviousAC,"Diseconomies","No Diseconomies")Identifies increasing average costs as output expands.
FORECAST.LINEAR=FORECAST.LINEAR(NewOutput,CostRange,OutputRange)Projects future costs at higher production volumes.

VBA (Optional)


VBA can automate estimation of cost functions and identify the output level at which diseconomies of scale begin to emerge across healthcare providers.


Sources

  • Varian HR. Intermediate Microeconomics: A Modern Approach. W.W. Norton.
  • Nicholson W, Snyder C. Microeconomic Theory: Basic Principles and Extensions. Cengage Learning.
  • Coelli TJ, Rao DSP, O'Donnell CJ, Battese GE. An Introduction to Efficiency and Productivity Analysis. Springer.
  • Drummond MF, Sculpher MJ, Claxton K, Stoddart GL, Torrance GW. Methods for the Economic Evaluation of Health Care Programmes. Oxford University Press.
  • Briggs A, Claxton K, Sculpher M. Decision Modelling for Health Economic Evaluation. Oxford University Press.

Library

Publications

1
  • BookFeatured

    Methods for the Economic Evaluation of Health Care Programmes — Drummond, Sculpher, Claxton, Stoddart & Torrance, 4th Edition ed., 2015 (Oxford University Press)

    The standard international reference text for economic evaluation methods in health care, covering cost-effectiveness, cost-utility and cost-benefit analysis, measurement of costs and outcomes, evidence synthesis, and the characterisation of uncertainty.

Frequently Asked Questions (6)

  • What is the marginal cost of healthcare?

    The additional cost of providing one more unit of healthcare service, such as treating one further patient.

    Source: Phelps 2017

  • Why is the marginal cost of healthcare usually below the average?

    Because a large share of what a health service spends is fixed within any relevant range: buildings, equipment, establishment staffing and the support functions behind them do not change when one more patient is treated. The additional patient consumes consumables and some staff time, and little else. Average cost divides the whole base across activity and therefore includes resources the additional patient does not cause, which is why using it for a decision about volume overstates the consequence. The gap between marginal and average is therefore widest in capital-intensive services and narrowest in those dominated by consumables, which is why the same reasoning error has very different consequences in different parts of a system.

    Source: Phelps 2017

  • When does the marginal cost of healthcare rise sharply?

    At capacity thresholds, since health service capacity comes in indivisible units. Within a band, additional patients are absorbed at low cost; crossing a threshold requires another member of staff on every shift, another theatre session or another bed, and the whole block enters at once. The marginal cost therefore alternates between low values and jumps, which means a single figure describes only the range within which it was measured. The size of the jump depends on how large the indivisible unit is relative to current volume, so small services face proportionally sharper discontinuities than large ones.

    Source: Horngren, Datar & Rajan 2015

  • Why is the marginal cost of healthcare asymmetric?

    Because capacity is added when volume rises and is frequently not removed when volume falls. Growth crossing a threshold requires the whole block before the additional activity can be delivered, while contraction releases nothing until activity falls far enough to empty a block entirely, and often not even then, since staff are redeployed rather than released. A service can therefore expand and contract by the same amount and finish worse off. This asymmetry is one reason services that have absorbed repeated activity growth without additional funding find that the corresponding reduction releases nothing when volumes later fall.

    Source: Phelps 2017

  • How does the marginal cost of healthcare affect payment systems?

    A tariff set at average cost overpays for activity absorbed within existing capacity and underpays for activity requiring new capacity, so providers gain from volume growth in some ranges and lose in others. This is one reason payment arrangements frequently combine a block element covering fixed capacity with a marginal rate for activity above an agreed level, which aligns payment more closely with the cost actually incurred. It also explains why providers respond differently to the same tariff depending on where they sit relative to their capacity thresholds, which a system-wide price cannot accommodate.

    Source: Phelps 2017

  • Why does the marginal cost of healthcare matter for savings plans?

    Because it sets an upper bound on what reducing activity can release. A plan built on average cost per case assumes the whole unit cost disappears with the case, whereas only the variable element does unless the underlying capacity is actually removed. Savings projected this way routinely fail to materialise, and the shortfall is predictable from the ratio of variable to fixed cost in the service concerned. Estimating the variable share before a savings plan is agreed is therefore the single most useful check available, and it is rarely performed before the target is set.

    Source: Horngren, Datar & Rajan 2015

Trust Record

Verified by Dr Darrin Baines

British health economist

Professional identity: darrinbaines.org

Verification date: 29 Jul 2025

Content version: 1.0.0

Canonical Identity

Term code
HE-EE-CA-059

Stable URI · Machine-readable · Resolvable · CC BY 4.0