Class 12 The Theory of the Firm under Perfect Competition Notes

Class 12 Economics Notes

Chapter 4: The Theory of the Firm under Perfect Competition


1. Perfect Competition

Meaning

Perfect competition is a market where many buyers and sellers trade an identical product, and no individual buyer or seller can influence the market price.

Features

  • Large number of buyers and sellers
  • Homogeneous (identical) product
  • Free entry and exit of firms
  • Perfect information
  • Firms are price takers

Remember:
Firm accepts the market price.
It cannot charge a higher or lower price.


2. Price Taker

A price-taking firm has no control over price.

If it charges:

  • Higher price → No customers
  • Lower price → Unnecessary loss

Therefore,

Selling Price = Market Price


3. Revenue

Revenue means money earned from selling goods.

(A) Total Revenue (TR)

Formula

TR = Price × Quantity

Example

Price = ₹20

Quantity = 5

TR = 20 × 5 = ₹100


(B) Average Revenue (AR)

Revenue earned per unit.

Formula

AR = TR ÷ Quantity

Under perfect competition

AR = Price


(C) Marginal Revenue (MR)

Extra revenue earned by selling one additional unit.

Formula

MR = Change in TR ÷ Change in Output

Under perfect competition

MR = AR = Price


Important Relationship

Under Perfect Competition

Price = AR = MR

This is one of the most important board exam points.


4. Demand Curve of a Firm

The demand curve facing a firm is:

  • Horizontal
  • Perfectly elastic

Reason:

The firm can sell any quantity at the market price.


5. Profit

Profit means earnings after deducting total cost.

Formula

Profit = TR − TC

Where

TR = Total Revenue

TC = Total Cost


6. Profit Maximisation

A firm’s main objective is to earn maximum profit.

A firm produces that level of output where profit is highest.


Conditions for Profit Maximisation

Condition 1

Price = Marginal Cost

or

P = MC


Condition 2

MC should be rising.

The MC curve should cut the price line from below.


Condition 3

Short Run

Price ≥ AVC

Long Run

Price ≥ AC


Board Exam Shortcut

Profit Maximisation

✔ P = MC

✔ MC rising

✔ P ≥ AVC (Short Run)

✔ P ≥ AC (Long Run)


7. Short Run Decision

The firm continues production if

Price ≥ AVC

Otherwise,

Production stops.


8. Long Run Decision

The firm continues production only if

Price ≥ AC

If Price < AC

The firm exits the industry.


9. Supply

Supply means the quantity a firm is willing to sell at different prices.


10. Supply Schedule

A table showing different quantities supplied at different prices.


11. Supply Curve

A graph showing the relationship between:

Price (Y-axis)

Quantity Supplied (X-axis)

Supply curve slopes upward.


12. Short Run Supply Curve

Short-run supply curve is:

The rising portion of the MC curve above AVC.

If

Price < AVC

Supply = 0


13. Long Run Supply Curve

Long-run supply curve is:

The rising portion of the MC curve above AC.

If

Price < AC

Supply = 0


14. Shut Down Point

The minimum point of AVC.

Below this point

The firm stops production in the short run.


15. Break-even Point

Point where

Total Revenue = Total Cost

or

Profit = Zero

The firm earns only normal profit.


16. Normal Profit

Minimum profit required to continue business.

It is included in cost.


17. Super Normal Profit

Profit earned above normal profit.

Formula

Super Normal Profit = Total Profit − Normal Profit


18. Factors Affecting Supply

(A) Technological Improvement

Better technology

Lower cost

Higher supply

Supply curve shifts Right


(B) Increase in Input Prices

Higher wages or raw material cost

Higher production cost

Lower supply

Supply curve shifts Left


(C) Unit Tax

Tax per unit increases production cost.

Result

Supply decreases.

Supply curve shifts Left.


19. Market Supply

Market Supply = Sum of supplies of all firms.

Example

Firm A = 50 units

Firm B = 70 units

Market Supply

= 50 + 70

= 120 units


20. Market Supply Curve

Obtained by

Horizontal addition of individual firms’ supply curves.


21. Price Elasticity of Supply (Es)

Measures how much supply changes when price changes.

Formula

Es = % Change in Quantity Supplied ÷ % Change in Price


Interpretation

Es > 1

Supply is elastic.


Es = 1

Unitary elastic supply.


Es < 1

Supply is inelastic.


Es = 0

Perfectly inelastic supply.

Vertical supply curve.


Important Formula Sheet

TR = P × Q

AR = TR ÷ Q

MR = ΔTR ÷ ΔQ

Profit = TR − TC

P = MR = AR

Profit Maximisation

P = MC

Es = %ΔQ ÷ %ΔP


Important Graphs to Practice

✔ Total Revenue Curve

✔ Price Line (AR = MR)

✔ Profit Maximisation

✔ Short Run Supply Curve

✔ Long Run Supply Curve

✔ Market Supply Curve

✔ Elasticity of Supply


Most Important Board Questions

1 Mark

  • Define Perfect Competition.
  • Define Price Taker.
  • Define Total Revenue.
  • Define Average Revenue.
  • Define Marginal Revenue.
  • Define Normal Profit.
  • Define Break-even Point.
  • Define Shut Down Point.

3 Marks

  • Explain features of perfect competition.
  • Explain the relationship between Price, AR and MR.
  • Explain profit maximisation conditions.
  • Explain short-run supply curve.
  • Explain long-run supply curve.

4–6 Marks

  • Explain profit maximisation with conditions.
  • Explain the derivation of the firm’s supply curve.
  • Explain determinants of supply.
  • Explain market supply.
  • Explain price elasticity of supply with formula and examples.

One-Page Revision

  • Perfect Competition → Many buyers & sellers, identical products, free entry/exit.
  • Firm is a Price Taker.
  • TR = P × Q
  • AR = Price
  • MR = Price
  • Profit = TR − TC
  • Profit maximisation: P = MC, MC rising.
  • Short Run: Produce if P ≥ AVC.
  • Long Run: Produce if P ≥ AC.
  • Shut Down Point = Minimum AVC.
  • Break-even Point = Normal Profit.
  • Technology ↑ → Supply ↑.
  • Input Prices ↑ → Supply ↓.
  • Unit Tax ↑ → Supply ↓.
  • Market Supply = Sum of Individual Supplies.
  • Es = %ΔQ ÷ %ΔP.

🧠 SECTION A: MCQs (1 mark each)

1. Perfect Competition is a market structure with:

A. One seller
B. Few sellers
C. Many buyers and sellers
D. Government control
Ans: C


2. In perfect competition, firms are:

A. Price makers
B. Price takers
C. Monopoly holders
D. Cartel members
Ans: B


3. Total Revenue is equal to:

A. P + Q
B. P − Q
C. P × Q
D. Q ÷ P
Ans: C


4. Under perfect competition, AR is equal to:

A. MC
B. TC
C. Price
D. Profit
Ans: C


5. MR under perfect competition is:

A. Zero
B. Equal to Price
C. Greater than Price
D. Less than Price
Ans: B


6. Profit maximisation condition is:

A. MR > MC
B. MR < MC
C. MR = MC
D. AR = AC
Ans: C


7. The supply curve of a firm in short run is:

A. MC below AVC
B. Rising part of MC above AVC
C. Falling MC
D. Horizontal line
Ans: B


8. Shut down point is:

A. Maximum AC
B. Minimum AVC
C. Maximum profit
D. Minimum MC
Ans: B


9. In long run, firm produces only if:

A. P < AC
B. P ≥ AC
C. P < AVC
D. P = 0
Ans: B


10. Market supply curve is obtained by:

A. Vertical addition
B. Average addition
C. Horizontal summation
D. Subtraction
Ans: C


✍️ SECTION B: Fill in the blanks

1. In perfect competition, firms are __________ takers.

👉 Price


2. TR = Price × __________.

👉 Quantity


3. AR is equal to __________ under perfect competition.

👉 Price


4. MR = __________ in perfect competition.

👉 Price


5. Profit = TR − __________.

👉 TC


6. Profit maximisation occurs when MR = __________.

👉 MC


7. Short run supply curve is the rising part of __________ curve.

👉 MC (SMC)


8. Shut down point is minimum of __________.

👉 AVC


9. Long run supply curve is based on __________ cost.

👉 Long run marginal


10. Market supply is sum of __________ supplies.

👉 Individual firm’s


✔️ SECTION C: True / False

1. Firms in perfect competition can set their own price.

❌ False


2. AR = MR = Price in perfect competition.

✔ True


3. Supply curve slopes downward in perfect competition.

❌ False


4. Profit maximisation occurs at MR = MC.

✔ True


5. If price < AVC, firm produces in short run.

❌ False


6. Market supply is horizontal summation of individual supply.

✔ True


7. Technological improvement shifts supply curve leftward.

❌ False (it shifts rightward)


8. Unit tax reduces supply.

✔ True


9. Long run shut down point is minimum LRAC.

✔ True


10. MR is always equal to MC at equilibrium.

✔ True


📌 SECTION D: Very Short Answer (1–2 marks)

1. What is perfect competition?

A market with many buyers and sellers, identical products, free entry/exit, and price-taking behaviour.


2. Define price taker.

A firm that accepts the market price as given and cannot influence it.


3. Define total revenue.

Money earned by selling output: TR = P × Q.


4. What is marginal revenue?

Extra revenue from selling one additional unit of output.


5. Define shut down point.

The point where price equals minimum AVC; below this firm stops production.


6. What is break-even point?

Point where TR = TC and firm earns normal profit.


7. What is market supply?

Total supply of all firms in the market at a given price.


📊 SECTION E: Short Answer (3–4 marks)

1. Explain features of perfect competition.

  • Large number of buyers and sellers
  • Homogeneous product
  • Free entry and exit
  • Perfect information
  • Firms are price takers

2. Why AR = MR = Price?

Because firms can sell any quantity at a fixed market price, so revenue per unit and extra revenue both equal price.


3. Explain profit maximisation condition.

A firm maximises profit where:

  • MR = MC
  • MC is rising
  • Price ≥ AVC (short run)
  • Price ≥ AC (long run)

4. What happens if price < AVC?

Firm shuts down in short run because it cannot even cover variable costs.


5. What is supply curve of a firm?

It shows quantity supplied at different prices; in short run it is rising part of MC above AVC.


📈 SECTION F: Case-Based Questions

Case 1

A firm produces 10 units when price is ₹20 and MR = MC.

Questions:

  1. What is MR equal to?
    👉 ₹20
  2. What is profit condition?
    👉 MR = MC
  3. What type of market?
    👉 Perfect competition

Case 2

At price ₹15, AVC is ₹18.

Questions:

  1. Will firm produce?
    👉 No
  2. Why?
    👉 Price < AVC → shutdown

Case 3

Price increases from ₹10 to ₹30 and output rises.

Questions:

  1. What happens to supply?
    👉 Increases
  2. What is elasticity sign?
    👉 Positive

🔥 SECTION G: Numericals (Board level idea)

1.

TR = ₹200, Q = 20
Find price.

👉 P = TR/Q = 200/20 = ₹10


2.

Q increases from 100 to 150 when price rises from 10 to 20.
Find elasticity.

👉 %ΔQ = 50%
👉 %ΔP = 100%
👉 Es = 0.5


📌 MOST IMPORTANT REVISION POINTS

  • P = MR = AR
  • Profit max → MR = MC
  • Short run supply → MC above AVC
  • Long run supply → MC above AC
  • Market supply = horizontal sum
  • Elasticity measures responsiveness