This chapter discusses the process of production in firms, examining how inputs are transformed into outputs and the associated costs. Understanding this is essential for analyzing firm behavior and market dynamics.
Production And Costs – Formula & Equation Sheet
Essential formulas and equations from Introductory Microeconomics, tailored for Class 12 in Economics.
This one-pager compiles key formulas and equations from the Production And Costs chapter of Introductory Microeconomics. Ideal for exam prep, quick reference, and solving time-bound numerical problems accurately.
Key concepts & formulas
Essential formulas, key terms, and important concepts for quick reference and revision.
Formulas
q = f(L, K)
Where q is the maximum output produced, L is labor, and K is capital. This production function illustrates the relationship between inputs and output.
TP = f(L)
Total Product (TP) corresponds to the output produced using a variable factor while keeping others constant.
AP = TP / L
Average Product (AP) is the output per unit of labor; it helps assess the productivity of labor.
MP = ΔTP / ΔL
Marginal Product (MP) measures the change in total product resulting from one additional unit of labor.
TVC = Σ(Variable costs)
Total Variable Cost (TVC) is the sum of costs that vary with output, while fixed costs remain constant.
TC = TFC + TVC
Total Cost (TC) is the sum of Total Fixed Costs (TFC) and Total Variable Costs (TVC).
SAC = TC / q
Short Run Average Cost (SAC) indicates the cost per unit of output produced.
AVC = TVC / q
Average Variable Cost (AVC) is defined as the variable cost per unit of output.
AFC = TFC / q
Average Fixed Cost (AFC) provides the fixed cost associated with each unit of output.
SMC = ΔTC / Δq
Short Run Marginal Cost (SMC) represents the change in total cost when one additional unit of output is produced.
Equations
CRS: f(tx1, tx2) = tf(x1, x2)
Constant Returns to Scale (CRS) indicates that a proportionate increase in inputs will result in an equal proportionate increase in output.
IRS: f(tx1, tx2) > tf(x1, x2)
Increasing Returns to Scale (IRS) implies that increasing inputs yields a greater than proportionate increase in output.
DRS: f(tx1, tx2) < tf(x1, x2)
Decreasing Returns to Scale (DRS) means that increasing inputs leads to a lesser than proportionate increase in output.
AFC + AVC = SAC
The relationship between Average Fixed Cost, Average Variable Cost, and Short Run Average Cost.
MP curve intersects the AP curve at its maximum.
This relationship shows that when MP is greater than AP, AP is rising; when MP is lesser than AP, AP is falling.
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