Lesson preview · Production Technology
Inputs and Outputs
~6 min · Free to read
A firm transforms inputs into outputs. That’s the most fundamental idea in the theory of production. The inputs — labor, capital, raw materials, land — are called factors of production. The output is whatever the firm sells: espresso drinks, haircuts, steel beams, lines of code.
Key Term
Production Function
The production function describes the maximum output a firm can produce from any given combination of inputs. It represents the technological frontier — what’s achievable with best-practice methods.
where = output, = labor, = capital.
The two-input production function: output q as a function of labor L and capital K
Why only two inputs? In reality firms use dozens of inputs. But for modeling, we simplify to labor (human effort and skill) and capital (machines, buildings, equipment). This captures the essential trade-off: you can produce the same output with more workers and fewer machines, or vice versa. The production function tells you the maximum output for each input combination — it assumes the firm is technically efficient (no waste).
Worked Example
A small bakery uses 2 ovens (K = 2) and varies its number of bakers (L). With 1 baker it produces 30 loaves/day; with 2 bakers, 70 loaves; with 3 bakers, 100 loaves. Express this as a production function table and identify whether more bakers always increase output.
Check yourself · no marks
A firm has 10 workers and 3 machines and produces 200 widgets, but a consulting firm shows they could produce 250 with the same inputs. Is the firm on its production function?
Commit to one first. Guessing and being wrong beats reading the answer cold.
Practice · 1 / 4
The production function represents:
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