Increasing returns to scale
Also called: IRS · Topic: Production Function, Returns and Costs · NCERT: Class 12, Ch 3 "Production and Costs"
Meaning
Increasing returns to scale (IRS) means that when all inputs rise in the same proportion, output rises by a larger proportion. Formally, f(tx₁, tx₂) > t·f(x₁, x₂). If inputs double, output more than doubles. It is a long-run idea. Causes include:
- specialisation and division of labour;
- large machines that cannot be split into smaller units;
- dimensional economies (doubling a pipe's width roughly quadruples its cross-section).
Under IRS, long-run average cost falls.
Example
In NCERT's Table 3.1, (1L, 1K) gives 1 unit, while (2L, 2K) gives 10 units. Q = 2L²K² also shows IRS, because its powers add to 4, which is more than 1.
Don't confuse with
- Economies of scale: these are the fall in cost per unit as output grows. IRS is about physical output. Economies of scale is its cost-side twin.
Related concepts
- Returns to scale
- Constant returns to scale
- Decreasing returns to scale
- Cobb-Douglas production function