मराठी

Law of Variable Proportions

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Topics

  • Meaning
  • Definition: Law of Variable Proportions
  • Statement of the Law of Variable Proportions
  • Assumptions
  • Important Terms
  • Table: Example (Applied to Agriculture)
  • Stages of the Law
  • Real-Life Application
  • Key Points: Law of Variable Proportions
CISCE: Class 12

Meaning

  • When we change the amount of one input (like labour) but keep another input fixed (like land), output changes.
  • This change in output is studied by the law of variable proportions.
CISCE: Class 12

Definitions: Law of Variable Proportions

  • “As the proportion of the factor in a combination of factors is increased after a point, first the marginal and then the average product of that factor will diminish.”
    —Benham
  • “The law of variable proportion states that if the inputs of one resource is increased by equal increment per unit of time while the inputs of other resources are held constant, total output will increase, but beyond some point the resulting output increases will become smaller and smaller.”
    —Leftwich
  • “An increase in some inputs relative to other fixed inputs will, in a given state of technology, cause output to increase; but after a point the extra output resulting from the same additions of extra inputs will become less and less.”
    —Samuelson
CISCE: Class 12

Statement of the Law of Variable Proportions

  • If you keep increasing the variable input (e.g., labour) for a fixed input (e.g., land), the total production goes up at first, then grows slowly, and finally can go down.
  • Marginal product (extra output from one more unit) and average product (output per unit) also rise at first, but later start to fall.
CISCE: Class 12

Assumptions

  • Technology stays the same.
  • One input (like land) is fixed, the other (like labour) is varied.
  • It must be possible to change proportions of inputs.
  • All extra units of input are equally good.
CISCE: Class 12

Important Terms

  • Total Product (TP): Total output produced.
  • Average Product (AP): Output per unit of variable input.
    Formula: \[AP=\frac{\text{Total Output}}{\text{Units of Input}}\]
  • Marginal Product (MP): Extra output from adding one more unit of input.
    Formula: \[MP=\text{Change in Output}\div\text{Change in Input}\]
CISCE: Class 12

Table: Example (Applied to Agriculture)

Units of Labour Total Production Average Production Marginal Production
0
1 20 20 20
2 50 25 30
3 90 30 40
4 120 30 30
5 140 28 20
6 150 25 10
7 150 21.3 0
8 140 17.5 -10

CISCE: Class 12

Stages of the Law

  • Stage 1: Increasing returns – TP, AP, and MP all grow fast.
  • Stage 2: Diminishing returns – TP grows slowly, AP and MP fall, and MP hits zero.
  • Stage 3: Negative returns – TP drops, MP goes below zero, and AP is still positive.
CISCE: Class 12

Real-Life Application

  • Adding more workers to a small kitchen helps at first, but after a point, too many workers make it crowded and output drops.

CISCE: Class 12

Key Points: Law of Variable Proportions

  • Only one input is changed; others are fixed.
  • First, output improves quickly.
  • Later, output slows down and may decrease.
  • Businesses use this law to find the best input mix.

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