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Grades 6–8 · Societies

How can a larger production scale have a lower cost per unit?

Producing more can reduce cost per unit when the available production methods use resources differently at different scales. Total cost and average cost are not the same measure. Average cost divides the total cost by the number of units produced.

C34 visual explanationInvented medium setup: 4 units, 12 fixed + 12 variable = 24; average 6. These supplied options are stipulated least-cost at their outputs. Fixed costs are fixed within a setup-period, not across all scale choices.Cost per unit across supplied scale optionsQ=4 • setup 12 • variable 3/unitEach stack represents one produced unit123424 total ÷ 4 units = 6 per unitUpper: setup share • lower: variable per-unit cost

In the diagramCost per unit across supplied scale optionsQ=4 • setup 12 • variable 3/unitEach stack represents one produced unit123424 total ÷ 4 units = 6 per unitUpper: setup share • lower: variable per-unit cost

The medium option costs 12 fixed tokens plus 4 × 3 variable tokens: 24 total and 6 per unit.

The supplied toy business offers three setup-and-output options. Within each selected period, a fixed setup commitment is combined with variable costs that depend on units produced. The medium option makes four units: twelve setup tokens plus three per unit gives twenty-four in total, or six per unit.

The small option costs sixteen for two units, averaging eight. The large option costs forty-four for eight units, averaging 5.5. Total cost rises across these choices, but average cost falls. Setup commitments are spread across more units, and the supplied variable cost per unit also changes between small and medium.

The schedule assumes these are the least-cost available options at their respective outputs. Under that assumption, declining average cost illustrates economies of scale. Merely spreading one unchanged fixed cost within an existing setup would not establish that long-run result. The comparison is conditional on the supplied options, not proof that every larger business is cheaper or more successful.

About this explanation

Starting knowledge: Add costs, multiply a per-unit amount and divide total cost by output.

Sources

  • OpenStax, Rice University — 7.5 Costs in the Long Run
  • OpenStax, Rice University — 2.2 Basic Cost Behavior Patterns
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