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DSE Economics | Demand, supply and equilibrium lesson plan (for tutors) | Why a price ceiling creates a shortage

DSE Economics | Demand, supply and equilibrium lesson plan (for tutors) | Why a price ceiling creates a shortage

  • 2026-11-03

Students can draw two lines but answer “because they cross” when asked why price settles there. This lesson starts from the equations so equilibrium becomes a number, then pushes on to ceilings and floors.

Objectives — Students can: (1) solve Qd = 200 – 10P and Qs = 20 + 8P to get price 10 and quantity 100; (2) tell a movement along a curve from a shift of the curve; (3) compute the shortage of 36 units under a ceiling of 8 and the surplus of 36 units under a floor of 12; (4) use elasticity to predict the direction of total revenue.

01 Prerequisites (3-minute check)

If any of these fails, fix it before the lesson starts.

Skill Quick check Pass mark
Law of demand What happens to quantity demanded when price falls? It rises, other things equal
Simultaneous equations What does Qd = Qs mean? The condition for market equilibrium
Total revenue What is price times quantity? The seller total revenue TR

02 Lesson flow (60 minutes)

Time Stage Tutor does Student does
0-10 min Opener Why are resale concert tickets expensive? Write Qd = 200 – 10P and Qs = 20 + 8P Guess the price, then check with algebra
10-22 min Solve equilibrium Set Qd = Qs, solve for P, substitute back P = 10, Q = 100
22-34 min Two kinds of change Price change means along the curve; income, taste or cost means a shift Draw each case once
34-45 min Ceiling and floor Substitute 8 and 12 into both equations Shortage 36, surplus 36
45-55 min Elasticity and revenue Three points: 1.50, 1.0, 0.67 Revenue 960, 1000, 960
55-60 min Exit check Mark on the spot Three correct

03 Teaching script (read it out)

Scene 1: Equilibrium is an equation, not a feeling

Put both equations side by side: Qd = 200 – 10P and Qs = 20 + 8P. Equilibrium means Qd = Qs, so 180 = 18P and P = 10, giving Q = 100. Above 10 the supply quantity exceeds demand, stock piles up and sellers cut price; below it buyers queue and bid price up. Nobody sets the price; the gap between the two quantities pushes it.

Ask them to: substitute P = 5 and P = 15 and state the market condition at each.

Scene 2: Along the curve versus shift of the curve is where marks are lost

A change in the good own price moves you along the curve: quantity demanded changes, demand does not. A change in income, taste, substitute price or expectations shifts the whole curve. A paper that says “income rises, so the price of rice rises” wants a rightward shift with both price and quantity higher, never a movement up the demand curve. A fall in production cost shifts supply right; it does not raise the quantity supplied along the old curve. Always ask first: did the price change, or something other than the price?

Ask them: vegetables cost more before a typhoon. Movement or shift, and why?

Scene 3: Ceiling and floor: one equation, two outcomes

A ceiling of 8 sits below equilibrium: Qd = 120, Qs = 84, a shortage of 36 units with queues, rationing or black markets. A floor of 12 sits above: Qd = 80, Qs = 116, a surplus of 36 units with unsold stock. Both push the traded quantity below 100, which is the deadweight loss. Full marks need the price, the quantity and who loses; the word “shortage” alone earns little.

Follow up: would a ceiling at 11 still create a shortage? Why?

04 Question types and worked steps

Type Example Steps Answer
Calculation Equilibrium from two equations Set Qd = Qs, then substitute P = 10, Q = 100
Graph Along the curve or shift Ask whether the price changed Price change means along
Policy Shortage under a ceiling Substitute the ceiling, subtract 36 units
Elasticity Revenue effect of a price change Elasticity first, then P times Q Cut price when elastic (0.67)
Sanity check (teach this): Check by substituting back: Qd = 200 – 100 = 100 and Qs = 20 + 80 = 100. Consumer surplus is the triangle 0.5 x 100 x (20 – 10) = 500. On a linear demand curve elasticity equals 1 at the midpoint, so revenue peaks at P = 10 (1000) and falls either side, which is the whole story behind “cut price when elastic, raise it when inelastic”.

05 Independent practice (3 questions)

Question Answer What to watch
Shortage under a ceiling of 8 36 units Qd 120 minus Qs 84
Consumer surplus at equilibrium 500 0.5 x 100 x (20 – 10)
Direction when demand shifts right Both price and quantity rise Draw the old and new equilibrium

06 Common mistakes and what to say

Mistake Student writes Say this
Calling a movement a change in demand “Price rose, so demand rose” “A higher price only lowers quantity demanded; the curve never moved.”
Mixing shortage with low supply “The ceiling cut supply, hence a shortage” “Supply quantity falls along the curve; the shortage is Qd minus Qs.”
Solving for P and stopping Answering 10 and moving on “Substitute back; the quantity is half the answer.”
Judging elasticity from revenue alone “Revenue rose, so demand is inelastic” “Revenue rising after a price cut means elasticity above 1.”

07 Homework (paper, section and question numbers)

08 Exit check (last 5 minutes)

Question Answer Decision
Equilibrium price and quantity 10 and 100 Both right before elasticity
Shortage at a ceiling of 8 36 units One wrong: redo the substitution
A pre-typhoon price rise A movement along the supply curve Two wrong: restart act two

09 Tutor FAQ

Must the equations be memorised?

No, but students must solve two equations for equilibrium within 30 seconds.

Why must a floor create a surplus?

The floor sits above equilibrium, so quantity supplied exceeds quantity demanded.

Are the elasticity numbers worth memorising?

No; remember that elasticity is 1 at the midpoint and revenue peaks there.

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