थोडक्यात सारांश
Costs are what a firm spends on producing output; revenue is what it earns by selling it. A firm's profit and its output decisions depend on how costs and revenues change with output. This topic explains the main cost concepts, short-run and long-run cost curves, and total, average and marginal revenue under different markets.
महत्त्वाचे मुद्दे
- Cost (खर्च) concepts: money cost and real cost; explicit (paid out) and implicit (imputed, e.g. owner's own capital) cost; opportunity cost; private and social cost; fixed and variable cost.
- Economic cost = explicit + implicit cost, so economic profit is less than accounting profit.
- Short run: total cost = total fixed cost (rent, salaries, insurance; constant even at zero output) + total variable cost (raw materials, power, wages; varies with output).
- AFC keeps falling as output rises (a rectangular hyperbola). AVC, ATC and MC are U-shaped because of the Law of Variable Proportions.
- MC cuts AVC and ATC at their minimum points. When MC < AC, AC falls; when MC > AC, AC rises.
- Long-run average cost (LAC) is the "envelope" of short-run AC curves; it is U-shaped (flatter) because of economies and then diseconomies of scale. It is also called the planning curve.
- Revenue (महसूल): TR = P × Q; AR = TR/Q = price; MR = change in TR from one more unit.
- Under perfect competition price is constant, so AR = MR and both are a horizontal line.
- Under monopoly and monopolistic competition, the firm must lower price to sell more, so AR slopes down and MR lies below AR.
- Profit is maximum where MR = MC and MC is rising (cuts MR from below).
महत्त्वाच्या संज्ञा
- Fixed cost – does not change with output in the short run.
- Variable cost – changes directly with output.
- Marginal cost (MC) – addition to total cost from one more unit.
- Sunk cost – cost already incurred that cannot be recovered.
- Break-even point – where TR = TC (no profit, no loss).
नमुने व सूत्रे
- TC = TFC + TVC; AFC = TFC/Q; AVC = TVC/Q; ATC = TC/Q = AFC + AVC
- MCn = TCn − TC(n−1)
- TR = P × Q; AR = TR/Q; MRn = TRn − TR(n−1)
- Relation (elasticity e): MR = AR × (e − 1)/e
Worked cost table (TFC = ₹100):
| Q | TFC | TVC | TC | AFC | AVC | ATC | MC |
|---|---|---|---|---|---|---|---|
| 0 | 100 | 0 | 100 | – | – | – | – |
| 1 | 100 | 50 | 150 | 100 | 50 | 150 | 50 |
| 2 | 100 | 90 | 190 | 50 | 45 | 95 | 40 |
| 3 | 100 | 120 | 220 | 33.33 | 40 | 73.33 | 30 |
| 4 | 100 | 160 | 260 | 25 | 40 | 65 | 40 |
| 5 | 100 | 220 | 320 | 20 | 44 | 64 | 60 |
MC is lowest at 3 units; MC (40) equals AVC (40) at its minimum at 4 units; ATC is still falling at 5 units because MC (60) is below ATC (64).
Revenue when price must fall to sell more:
| Q | Price (AR) | TR | MR |
|---|---|---|---|
| 1 | 10 | 10 | 10 |
| 2 | 9 | 18 | 8 |
| 3 | 8 | 24 | 6 |
| 4 | 7 | 28 | 4 |
| 5 | 6 | 30 | 2 |
५ महत्त्वाचे प्रश्न
Q1. Distinguish between fixed cost and variable cost.
Fixed cost stays the same at all levels of output in the short run and must be paid even at zero output (rent, interest, permanent salaries). Variable cost changes with output and is zero when output is zero (raw materials, power, casual wages).
Q2. Why is the AFC curve always falling?
Because a constant total fixed cost is spread over more and more units as output rises; AFC = TFC/Q falls continuously but never touches the x-axis.
Q3. Explain short-run cost curves with a diagram.
Outline: table like the one above → TFC (horizontal), TVC and TC (parallel, rising) → AFC, AVC, ATC, MC → why AVC/ATC/MC are U-shaped (variable proportions) → MC cuts AVC and ATC at their minimum → gap between ATC and AVC = AFC, narrowing as output grows.
Q4. Explain the long-run average cost curve.
Outline: in the long run all factors vary → several plant sizes, each with an SAC → LAC is the envelope touching each SAC → U-shape due to economies, then diseconomies of scale → flatter than SAC → also called planning curve.
Q5. Explain the relation between AR and MR under perfect and imperfect competition.
Outline: definitions → perfect competition: price fixed, AR = MR, horizontal line (table with price ₹10) → monopoly/monopolistic competition: AR falls, MR falls faster and lies below AR, MR can become negative → formula MR = AR(e − 1)/e → diagrams.
परीक्षेसाठी टीप
Fill a cost or revenue table yourself in the exam even if not asked; it proves the shape of every curve you draw.