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7.3.2 conditions for productive efficiency and allocative efficiency

7.3.2 conditions for productive efficiency and allocative efficiency

Conditions for Efficiency

Definition

Marginal cost (MC): the addition to total cost from producing one more unit of output.

Average cost (AC): total cost ÷ quantity produced, i.e. the cost per unit of output.

  1. Each type of efficiency has its own precise condition to test against.
  2. Productive efficiency requires production at the minimum point of the average cost curve, where MC = AC.
  3. For the whole economy this means producing on the production possibility curve (PPC).
  4. Allocative efficiency requires that price = marginal cost (P = MC).
  5. A market may satisfy one condition without satisfying the other.
Key Idea
  • Test productive efficiency by finding the bottom of the average cost curve (MC = AC).
  • Test allocative efficiency by checking whether price = marginal cost.

Productive Condition

  1. As output rises, average cost first falls as fixed costs are spread over more units, then rises as diminishing returns set in.
  2. The lowest point of that U-shaped curve is the productively efficient level of output.
  3. At that point marginal cost = average cost, because MC always cuts AC at its minimum: while MC < AC, AC is falling; once MC > AC, AC is rising.
Example
  • A bakery's average cost is £1.20 a loaf at 400 loaves, falls to £0.90 at 700 loaves as its fixed oven and rent costs are spread, then rises to £1.05 at 900 loaves as overtime pay and congestion set in.
  • The productively efficient output is 700 loaves, where average cost is lowest at £0.90 and MC = AC; producing 400 or 900 wastes resources per loaf.

Allocative Condition

  1. The demand curve shows the price consumers will pay, which reflects the value of each extra unit.
  2. The supply, or marginal cost, curve shows the cost of producing each extra unit.
  3. Where the two curves cross, price = marginal cost and the market is allocatively efficient.
Example
  • In a near-competitive market such as UK wholesale wheat, many sellers take the market price, so each produces where price = marginal cost and the allocative condition holds.
  • A sole regional rail operator instead sets a £15 fare while the marginal cost of one more passenger is £9, so P > MC, the allocative condition fails and output is too low.
  • The £6 gap between price and marginal cost measures the value of trips that passengers wanted but the monopoly did not supply.

Conditions for productive efficiency and allocative efficiency

Why Both Matter

  1. Meeting the productive condition avoids wasting inputs on any given output.
  2. Meeting the allocative condition matches that output to what consumers value most.
  3. Only when both hold are the economy's scarce resources used as well as possible — though it depends on the market: a firm at min AC that still sets P > MC is productively but not allocatively efficient.
Exam technique
  • State the exact condition (MC = AC or P = MC), not a vague description, for each type.
  • Use a diagram to show where price = marginal cost, or where average cost is at its minimum.
Common Mistake
  • Do not blur the two conditions together.
  • Productive efficiency is least-cost output (MC = AC), while allocative efficiency is price = marginal cost.
Self review
  • State the condition for productive efficiency.
  • State the condition for allocative efficiency.
  • Why does marginal cost = average cost at the productively efficient output?
  • Can a market meet one condition and fail the other?
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Productive efficiency means producing a given output at the lowest possible average cost. For a firm, its precise condition is minimum average cost, where MC=ACMC = ACMC=AC.

Allocative efficiency means producing the quantity that best matches consumers' valuation with the cost of resources used. Its precise condition is P=MCP = MCP=MC.

A market can satisfy one condition without satisfying the other. The two tests must therefore be applied separately.

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7.3.2 conditions for productive efficiency and allocative efficiency Revision Guide

  1. Intl A Level
  2. /Economics
  3. /7.3.2 conditions for productive efficiency and allocative efficiency

Revision notes for CIE Intl A Level Economics 7.3.2 conditions for productive efficiency and allocative efficiency: explanations and worked examples.