Complete Summary and Solutions for The Theory of the Firm under Perfect Competition – NCERT Class XII Economics, Chapter 4

This chapter explains the behavior of firms in a perfectly competitive market, including the nature of perfect competition, price taking by firms, the short period and long period equilibrium, equilibrium of the firm and industry, the relation between cost and output, and the concept of shut down price. It also discusses the graphical analysis of equilibrium with detailed explanations and textbook question answers.

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Categories: NCERT, Class XII, Economics, Chapter 4, Perfect Competition, Firm, Market Structure, Equilibrium, Price Determination, Microeconomics, Summary, Questions, Answers
Tags: Perfect Competition, Firm, Market Equilibrium, Price Taking, Cost, Output, Shut Down Price, Long Run, Short Run, NCERT, Class 12, Economics, Chapter 4, Summary, Questions, Answers
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The Theory of the Firm under Perfect Competition - Class 12 NCERT Chapter 4 Ultimate Study Guide 2025

The Theory of the Firm under Perfect Competition

Chapter 4: The Theory of the Firm under Perfect Competition - Ultimate Study Guide | NCERT Class 12 Notes, Questions, Examples & Quiz 2025

Full Chapter Summary & Detailed Notes - The Theory of the Firm under Perfect Competition Class 12 NCERT

Overview & Key Concepts

  • Chapter Goal: Explains firm behavior in perfect competition, focusing on profit maximization, revenue, supply curves, and elasticity. Exam Focus: Conditions for profit max (p=MC), short/long run supply, diagrams (TR curve, price line, shut down); 2025 Updates: Emphasis on real-world applications (e.g., agricultural markets), tech impacts on supply. Fun Fact: Perfect competition is ideal but rare; closest in stock exchanges or farming. Core Idea: Firms as price-takers maximize profit where MR=MC; interlinks production/cost from Ch3. Real-World: Ties to pricing in competitive industries like wheat farming. Expanded: All subtopics point-wise with evidence, examples, debates (e.g., profit max realism); added numerical calcs, diagram descs for depth.
  • Wider Scope: Builds on Ch3 costs; leads to market equilibrium in Ch5; sources: Numerical examples, graphs.
  • Expanded Content: Include TR/MR/AR calcs, supply derivation steps, elasticity formulas; multi-disciplinary (e.g., behavioral economics in profit assumption).
Total Revenue Curve (Fig 4.1 Description)

Upward straight line from origin O; slope = p (market price); e.g., at q1, height Aq1 = p; shows TR = p*q linear under perfect competition.

4.1 Perfect Competition: Defining Features

  • Market Environment: Analyzes firm profit max in perfect competition; assumes firm as ruthless profit maximizer.
  • Large Buyers/Sellers: Many participants; each small, no influence on price.
  • Homogeneous Product: Identical goods; no differentiation, buyers switch easily.
  • Free Entry/Exit: No barriers; ensures large firms via easy adjustment.
  • Perfect Information: All know price, quality; enables informed choices.
  • Price-Taking Behavior: Firms/buyers accept market price; can't sell/buy above/below without loss.
  • Why Reasonable?: Many agents + info = no market power; e.g., if firm raises price, loses all buyers to competitors.
  • Expanded: Real examples (e.g., Indian wheat market); debates (homogeneity rare in reality); notes on assumptions' implications for supply.

4.2 Revenue

  • Total Revenue (TR): TR = p * q; linear under constant p.
  • Numerical Example: Candles at Rs10/box; TR: 0=0, 1=10, 2=20, etc. (Table 4.1).
  • TR Curve (Fig 4.1): Upward straight line through origin; slope = p; zero at q=0, increases linearly.
  • Average Revenue (AR): AR = TR/q = p; horizontal line (price line, Fig 4.2).
  • Demand Curve: Perfectly elastic at p; firm sells any q at p.
  • Marginal Revenue (MR): MR = ΔTR/Δq = p; equals AR=p.
  • Intuition: Extra unit sold at p adds p to TR.
  • Expanded: Calc: From 2 to 3 boxes, MR=10; debates (AR=MR only in perfect comp).
Price Line (Fig 4.2 Description)

Horizontal line at height p; x-axis output; shows AR=p; perfectly elastic demand.

4.3 Profit Maximisation

  • Profit (π): π = TR - TC; net earnings.
  • Goal: Max π at q0; identify via conditions.
  • Condition 1: p = MC: Profits rise if MR > MC, fall if MR < MC; max at equality (since MR=p).
  • Condition 2: MC Non-Decreasing: Avoid downward MC at q0 (Fig 4.3); else profits higher leftward.
  • Condition 3 (Short Run): p ≥ AVC: If p < AVC, shutdown (TR < TVC, better -TFC than loss; Fig 4.4).
  • Condition 3 (Long Run): p ≥ AC: If p < AC, exit (TC > TR, better 0 than loss; Fig 4.5).
  • Graphical (Fig 4.6): p=MC at q0 (upward); profit = rectangle EpAB.
  • Expanded: Evidence: Numerical TR-TC gaps; debates (profit max vs. satisficing).
Profit Max Conditions (Fig 4.3 Description)

MC curve intersects p at q1 (downward, invalid), q4 (upward, valid); shows non-decreasing MC needed.

Price-AVC Relationship (Fig 4.4 Description)

p below min AVC at q1; TR (OpAq1) < TVC (OEBq1); loss > -TFC, so shutdown.

Price-AC Relationship (Fig 4.5 Description)

p below min LRAC at q1; TR (OpAq1) < TC (OEBq1); long-run exit for 0 profit.

Geometric Profit Max (Fig 4.6 Description)

p intersects upward SMC at q0 > AVC; profit = EpAB (TR - TC rectangle).

4.4 Supply Curve of a Firm

  • Definition: q supplied at given p, tech, input prices; short/long run versions.
  • Short Run Supply (Fig 4.7-4.8): Rising SMC ≥ min AVC; 0 if p < min AVC.
  • Case 1 (p ≥ min AVC): p=SMC (rising) at q1; all conditions hold.
  • Case 2 (p < min AVC): No positive q; shutdown.
  • Long Run Supply (Fig 4.9-4.10): Rising LRMC ≥ min LRAC; 0 if p < min LRAC.
  • Case 1 (p ≥ min LRAC): p=LRMC at q1; conditions hold.
  • Case 2 (p < min LRAC): Exit, 0 output.
  • Expanded: Steps: Equate p=MC, check conditions; examples (wheat farmer supply).
Short Run Supply Derivation (Fig 4.7 Description)

p1 > min AVC intersects rising SMC at q1; p2 < min AVC, q=0.

Short Run Supply Curve (Fig 4.8 Description)

Bold line: Rising SMC from min AVC; vertical at 0 below.

Long Run Supply Derivation (Fig 4.9 Description)

p1 > min LRAC intersects rising LRMC at q1; p2 < min LRAC, q=0.

Long Run Supply Curve (Fig 4.10 Description)

Bold line: Rising LRMC from min LRAC; vertical at 0 below.

4.4.3 The Shut Down Point

  • Short Run: Min AVC where SMC cuts AVC; below, q=0.
  • Long Run: Min LRAC.
  • Expanded: Implication: Covers variable costs short-term; full costs long-term.

4.4.4 The Normal Profit and Break-even Point

  • Normal Profit: Minimum to stay in business; part of TC (opportunity cost of entrepreneurship).
  • Super-Normal Profit: Above normal.
  • Break-Even Point: Where supply cuts min SAC/LRAC; earns normal profit.
  • Expanded: Short run may operate below; long run exits if less.

4.5 Determinants of a Firm’s Supply Curve

  • Link to MC: Supply = MC segment; shifts affect MC.
  • Technological Progress: Lowers MC; rightward supply shift; more q at given p.
  • Input Prices: Rise shifts MC up/left (less q); fall rightward.
  • Unit Tax: Adds to MC/AC by t; leftward shift (Figs 4.11-4.12).
  • Expanded: Ex: Wage hike in labor-intensive firm; debates (tax incidence).
Cost Curves with Unit Tax (Fig 4.11 Description)

LRAC0/LRMC0 pre-tax; LRAC1/LRMC1 post-tax (shift up by t); min LRAC rises.

Supply Curves with Unit Tax (Fig 4.12 Description)

S0 pre-tax; S1 post-tax (leftward parallel shift by t).

4.6 Market Supply Curve

  • Definition: Horizontal sum of firm supplies at each p.
  • Graphical (Fig 4.13): S1 + S2 = Sm; horizontal addition.
  • Numerical Example: S1(p) = 0 if p<10, (p-10) else; S2 similar from 15; Sm piecewise.
  • Number of Firms: More firms shift Sm right.
  • Expanded: Fixed n; entry/exit shifts long-run.
Market Supply Curve (Fig 4.13 Description)

(a) S1 from p1; (b) S2 from p2>p1; (c) Sm: 0 below p1, =S1 to p2, S1+S2 above.

4.7 Price Elasticity of Supply

  • Definition: e_s = (%ΔQ_s) / (%ΔP); measures responsiveness.
  • Numerical: Cricket balls: P 10→30 (200%), Q 200→1000 (400%); e_s=2.
  • Geometric (Fig 4.14): >1 if intercepts negative y; =1 through origin; <1 positive x-intercept.
  • Properties: Positive if upward slope; unitless.
  • Expanded: Vertical=0; calc steps; debates (time horizon affects elasticity).
Price Elasticity Geometric (Fig 4.14 Description)

(a) e_s>1 (negative y-intercept); (b)=1 (through O); (c)<1 (positive x-intercept).

Summary

  • Perfect comp: Price-takers max π at p=MC; supply=MC≥AVC/AC; determinants shift; market sum; e_s responsiveness. Interlinks: To Ch5 equilibrium.
  • Evidence: Examples, diagrams; debates on assumptions.

Why This Guide Stands Out

Comprehensive: All subtopics point-wise, 10+ diagram descs; 2025 with calcs, real apps for exams.

Key Themes & Tips

  • Aspects: Profit max conditions, supply derivation, elasticity.
  • Tip: Memorize 3 conditions; practice supply shifts; draw TR/MC graphs.

Exam Case Studies

Tax on supply; tech in farming elasticity.

Project & Group Ideas

  • Analyze wheat market competition.
  • Debate: Profit max in reality.
  • Model firm supply with Excel.