Every production decision is also a cost decision. A firm that doesn't understand its costs cannot price effectively, cannot identify its profit-maximizing output, and cannot survive in competitive markets.
Cost analysis is one of the most formula-intensive topics in CBSE Class 12 Economics — and one where numerical questions are almost guaranteed in board exams. This guide covers every cost concept, its formula, its behavior, and how it relates to other costs.
Short Run Cost Concepts
In the short run, some inputs are fixed (e.g., capital, factory size) and some are variable (e.g., labor, raw materials). This produces a fundamental split in costs.
Total Fixed Cost (TFC)
TFC is the total cost of all fixed inputs — costs that do not change with the level of output. Whether the firm produces 1 unit or 1,000 units, TFC remains exactly the same.
Examples: Factory rent, insurance premiums, salaries of permanent staff, depreciation on machinery, loan repayments
TFC = Constant (horizontal line on a cost diagram)
Key insight: Fixed costs cannot be avoided in the short run, even if the firm produces nothing. They are sometimes called "sunk costs" — committed regardless of output.
Total Variable Cost (TVC)
TVC is the total cost of all variable inputs — costs that change with output. Zero output means zero variable cost; more output means higher variable cost.
Examples: Raw materials, hourly wages, electricity consumed in production, packaging
TVC rises with output (starts at zero, increases with production)
Shape of TVC: Initially rises at a decreasing rate (Stage I — increasing returns), then rises at an increasing rate (Stage II — diminishing returns). This mirrors the Law of Variable Proportions.
Total Cost (TC)
TC = TFC + TVC
Total cost is simply the sum of fixed and variable costs at any output level.
Shape: Since TFC is constant and TVC rises with output, TC has the same shape as TVC — just shifted upward by the amount of TFC.
At zero output: TC = TFC (variable costs are zero, but fixed costs remain)
Average Fixed Cost (AFC)
AFC = TFC ÷ Q
AFC is fixed cost per unit of output. Since TFC never changes but Q increases, AFC continuously falls as output rises — the fixed cost is spread over more and more units.
Shape: A rectangular hyperbola — continuously declining, approaching but never reaching zero. AFC never becomes zero because TFC is always positive.
Average Variable Cost (AVC)
AVC = TVC ÷ Q
AVC is variable cost per unit of output.
Shape: U-shaped — initially falls as output rises (due to increasing returns and specialization), reaches a minimum, then rises (due to diminishing returns as the fixed factor becomes crowded).
Average Cost (AC) / Average Total Cost (ATC)
AC = TC ÷ Q = AFC + AVC
AC is the total cost per unit of output. It can be computed directly from TC, or by adding AFC and AVC.
Shape: Also U-shaped, for the same reason as AVC. However, the AC curve is always above the AVC curve — the gap between them equals AFC.
AC − AVC = AFC
This gap narrows continuously as output rises (because AFC continuously falls).
Marginal Cost (MC)
MC = ΔTC ÷ ΔQ = ΔTVC ÷ ΔQ
MC is the additional cost of producing one more unit of output. It is the cost concept most directly relevant to production decisions.
Why MC = ΔTVC/ΔQ: Since TFC never changes, the only cost that increases when output rises is TVC. Therefore, the marginal cost of producing an additional unit comes entirely from additional variable costs.
Shape: Also U-shaped — but MC reaches its minimum before AVC and AC reach theirs.
Essential Formulas Reference
Cost | Formula |
|---|---|
TC | TFC + TVC |
AFC | TFC ÷ Q |
AVC | TVC ÷ Q |
AC | TC ÷ Q = AFC + AVC |
MC | ΔTC ÷ ΔQ = ΔTVC ÷ ΔQ |
Complete Numerical Example
Output (Q) | TFC | TVC | TC | AFC | AVC | AC | MC |
|---|---|---|---|---|---|---|---|
0 | 60 | 0 | 60 | — | — | — | — |
1 | 60 | 20 | 80 | 60.0 | 20.0 | 80.0 | 20 |
2 | 60 | 36 | 96 | 30.0 | 18.0 | 48.0 | 16 |
3 | 60 | 48 | 108 | 20.0 | 16.0 | 36.0 | 12 |
4 | 60 | 64 | 124 | 15.0 | 16.0 | 31.0 | 16 |
5 | 60 | 90 | 150 | 12.0 | 18.0 | 30.0 | 26 |
6 | 60 | 126 | 186 | 10.0 | 21.0 | 31.0 | 36 |
Observations from the table:
- TFC stays constant at 60 throughout
- TVC starts at 0 and rises
- TC = TFC + TVC at every row
- AFC continuously falls (60, 30, 20, 15...)
- AVC falls then rises (U-shape: minimum at Q=3 or 4)
- AC falls then rises (U-shape: minimum at Q=5)
- MC falls then rises (U-shape: minimum before AVC and AC)
Key Relationships Between Cost Curves
These relationships are essential for both diagrams and theory questions:
1. MC Cuts AVC at AVC's Minimum
- When MC < AVC: Each additional unit costs less than the current average variable cost → AVC is falling
- When MC > AVC: Each additional unit costs more than the current average variable cost → AVC is rising
- Therefore MC must equal AVC exactly at AVC's minimum point
2. MC Cuts AC at AC's Minimum
- The same logic applies: MC cuts AC from below at AC's lowest point
3. AC − AVC = AFC (Narrowing Gap)
The vertical distance between the AC and AVC curves at any output level equals AFC. Since AFC continuously falls, this gap continuously narrows as output increases.
Behavior of All Cost Curves: Summary
Cost | Behavior as Output Increases |
|---|---|
TFC | Constant (horizontal line) |
TVC | Rises (starts from origin) |
TC | Rises (parallel to TVC, above it by TFC) |
AFC | Continuously falls (rectangular hyperbola) |
AVC | U-shaped (falls then rises) |
AC | U-shaped (falls then rises; above AVC) |
MC | U-shaped (falls then rises; cuts AVC and AC at their minimums) |
Common Exam Mistakes
Wrong MC formula: The most common error. MC = ΔTC/ΔQ — not TC/Q (that's AC). Also remember MC = ΔTVC/ΔQ, since TFC doesn't change.
Not understanding why AC is above AVC: The gap is AFC. As Q rises, AFC falls, so the gap narrows — but AC never falls below AVC.
Confusing where MC cuts AVC vs AC: MC cuts both at their respective minimum points — AVC's minimum first (at lower output), then AC's minimum (at higher output).
Drawing TVC starting above zero: TVC must start at the origin (zero output = zero variable cost). TC starts above zero (at the TFC level).
Key Takeaway
Cost analysis is the bridge between production theory and pricing decisions. Every cost concept — from TFC to MC — has a specific formula, a specific shape, and a specific relationship to the others. Mastering these relationships and practicing numerical cost schedules is essential for the computational questions that appear reliably in CBSE board exams.
Related Posts:
- Production Function & Law of Variable Proportions: TP, AP, MP Explained
- Why Cost Curves Are U-Shaped: MC, AVC & AC Relationships in Depth
- Law of Supply, Determinants & Price Elasticity of Supply
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