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Production means transformation of inputs (factors of production) like land, labour, capital and organisation into output (goods/services). A production function shows the technical relationship between inputs and output.
General form: where is output and are inputs.
When more and more units of a variable factor are combined with a fixed factor, the total output increases at an increasing rate initially, then at a diminishing rate, and may eventually decline.
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Production means transformation of inputs (factors of production) like land, labour, capital and organisation into output (goods/services). A production function shows the technical relationship between inputs and output.
General form: where is output and are inputs.
When more and more units of a variable factor are combined with a fixed factor, the total output increases at an increasing rate initially, then at a diminishing rate, and may eventually decline.
Stage I (Increasing returns):
Stage II (Diminishing returns):
Stage III (Negative returns):
Returns to scale study the change in output when all inputs are increased in the same proportion.
Types:
Reasons:
An isoquant shows combinations of two inputs (labour and capital) that produce the same level of output.
MRTS indicates the rate at which one input can be substituted for another while keeping output constant. MRTS generally diminishes along an isoquant.
Isocost line shows combinations of inputs that cost the same total amount. Slope of isocost: Producer equilibrium (least-cost combination for given output) occurs where an isoquant is tangent to an isocost line:
From this topic
TP is total output, AP is output per unit of labour (TP/L), and MP is additional output from one more unit of labour (ΔTP). Relationship: when MP > AP, AP rises; when MP = AP, AP is maximum; when MP < AP, AP falls. TP increases as long as MP is positive and TP becomes maximum when MP becomes zero.
Law of variable proportions shows that when variable input is increased with fixed input, output changes in three stages. Stage I: increasing returns—TP rises at increasing rate; MP rises then starts falling; AP rises. Stage II: diminishing returns—TP rises at diminishing rate; MP falls but remains positive; this is rational stage. Stage III: negative returns—MP becomes negative and TP falls; it is irrational stage.
The law of variable proportions (law of diminishing returns) explains output behaviour in the short run when one factor is fixed and the other factor is variable. It states that when more and more units of a variable factor are combined with a fixed factor, total product increases at an increasing rate in the beginning, then increases at a diminishing rate and may finally decline.
Assumptions: Technology is constant, variable factor units are homogeneous, one factor is fixed in short run and production is continuous.
Stages:
Significance: The law helps a firm decide optimum use of variable input with fixed resources and explains why costs rise beyond a certain output. It guides firms to operate in Stage II for efficient production decisions.