Isoquants

Work in progress. This note is still being written and incomplete.

An isoquant shows all combinations of two inputs that can produce the same level of output.

In the long run, both capital and labour are variable.

Q=f(K,L)Q = f(K,L)

Where:

  • K = Capital
  • L = Labour
Isoquant Map Capital (K) Labour (L) Q₁ Q₂ Q₃ Higher output ↑
Each isoquant represents a different level of output. Isoquants farther from the origin represent higher output levels.

Properties of Isoquants

Higher Isoquants Represent Higher Output

Isoquants farther from the origin represent higher levels of output.

Isoquants Do Not Intersect

Two isoquants cannot intersect because each isoquant represents a different level of output.

Isoquants Slope Downward

An isoquant normally slopes downward because increasing one input requires decreasing the other input to maintain the same output.

Every Input Combination Has an Isoquant

There is an isoquant through every possible combination of inputs.

Convex Isoquants

Most isoquants are generally convex to the origin when the two inputs are imperfect substitutes.

For a convex isoquant, the MRTS is diminishing.

Convex Isoquant Capital (K) Labour (L) A B Q₁ Steeper Flatter
A convex isoquant reflects diminishing MRTS: as more labour replaces capital, the amount of capital that can be given up for an additional unit of labour decreases.

Perfectly Substitutable Inputs

When two inputs can substitute for each other at a constant rate:

  • The isoquant is a straight line.
  • MRTS is constant.
  • Inputs can be substituted at a constant rate.
Perfectly Substitutable Inputs Capital (K) Labour (L) A B Q₁
Constant MRTS. With perfectly substitutable inputs, capital and labour can replace each other at a constant rate, so the isoquant is a straight line.

Perfectly Complementary Inputs

When inputs must be used in a specific ratio:

  • The isoquant is right-angled.
  • Efficient production occurs only at a specific input ratio.
Perfectly Complementary Inputs Capital (K) Labour (L) Efficient combination Q₁ Inputs used in a specific ratio K : L = fixed
With perfectly complementary inputs, efficient production occurs only at the corner of the right-angled isoquant.
Written by September 26, 2026 1 min read
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