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ACCA Applied Knowledge · Business and Technology

Microeconomic factors: formula sheet

Full chapter guide

Key formulas

Equilibrium condition
Quantity demanded = Quantity supplied
The equilibrium price is the price at which this holds.
Surplus (excess supply)
Surplus = Quantity supplied − Quantity demanded, when price is above equilibrium
Price tends to fall.
Shortage (excess demand)
Shortage = Quantity demanded − Quantity supplied, when price is below equilibrium
Price tends to rise.
Shift rules
Demand ↑ → price ↑, quantity ↑; Demand ↓ → price ↓, quantity ↓; Supply ↑ → price ↓, quantity ↑; Supply ↓ → price ↑, quantity ↓
Holds when only one curve shifts and the curves have normal slopes.
Own price change
Price change → movement along the curve, not a shift
Only non-price factors shift a curve.
Price elasticity of demand (PED)
PED = % change in quantity demanded ÷ % change in price
Result is normally negative. Exams usually ignore the sign and talk about size. Above 1 is elastic, below 1 is inelastic.
Income elasticity of demand (YED)
YED = % change in quantity demanded ÷ % change in income
Positive = normal good, negative = inferior good, above 1 = luxury.
Cross elasticity of demand (XED)
XED = % change in quantity demanded of A ÷ % change in price of B
Positive = substitutes, negative = complements.
Price elasticity of supply (PES)
PES = % change in quantity supplied ÷ % change in price
Normally positive. Above 1 is elastic supply.
Percentage change
% change = (new − old) ÷ old × 100
Always divide by the original figure, not the new one.
Effect on total revenue
Elastic: price rise cuts revenue. Inelastic: price rise increases revenue.
Price cuts do the opposite. At unit elasticity revenue stays unchanged.
Shortage
Shortage = Quantity demanded − Quantity supplied, at the maximum price
Applies only when the maximum price is below equilibrium. If it is at or above equilibrium, it has no effect.
Surplus
Surplus = Quantity supplied − Quantity demanded, at the minimum price
Applies only when the minimum price is above equilibrium.
Equilibrium
Quantity demanded = Quantity supplied
Solve the demand and supply equations together to find equilibrium price and quantity.
Tax revenue
Tax revenue = Tax per unit × Quantity sold after the tax
Use the new quantity, not the old one.
Subsidy cost
Subsidy cost = Subsidy per unit × Quantity sold after the subsidy
Use the new quantity.
Direction of shifts
Indirect tax: supply shifts left. Subsidy: supply shifts right.
The demand curve does not move. Price and quantity move along it.
Social cost
Social cost = private cost + external cost
Negative externality: the market ignores external cost, so output is too high.
Social benefit
Social benefit = private benefit + external benefit
Positive externality: the market ignores external benefit, so output is too low.
Public good test
Public good = non-excludable AND non-rival
Both features must hold for a pure public good. A private good is excludable and rival.
Matching the fix
Negative externality → tax or regulation; positive externality or merit good → subsidy or provision; public good → state provision; monopoly → competition policy; information gap → disclosure rules
Typical matches. Other tools can also be valid if you justify them.
Perfect competition
Many firms + identical product + free entry/exit = price taker
Firm accepts the market price. Normal profit in the long run.
Monopolistic competition
Many firms + differentiated product + easy entry = some pricing power
Competes on branding, quality and advertising. Close substitutes limit price.
Oligopoly
Few large firms + high barriers + interdependence
Firms watch rivals. Prices are often stable. Collusion is possible but usually illegal.
Monopoly
One firm + very high barriers = price maker
Can restrict output and raise price. May earn abnormal profit long term.
Concentration ratio
Concentration ratio = combined market share of the largest n firms
A high ratio, such as the top 4 firms holding most sales, points to oligopoly.
Total cost
Total cost = Fixed costs + Variable costs
Fixed costs stay the same in the short run; variable costs rise with output.
Average (unit) cost
Average cost = Total cost ÷ Output
Economies of scale mean this falls as the firm grows; diseconomies mean it rises.
Variable cost
Total variable cost = Variable cost per unit × Output
Variable cost per unit is assumed constant within the normal range of output.
Scale rule
Economies: average cost falls as scale rises. Diseconomies: average cost rises as scale rises.
Applies to the long run, when all inputs can change.

Quick revision

  • A rise in price causes a movement along the demand curve. A change in another factor shifts the curve.
  • At equilibrium, quantity demanded equals quantity supplied.
  • Price elasticity of demand = % change in quantity demanded ÷ % change in price.
  • Elastic demand means the response is larger than the price change. Inelastic means it is smaller.
  • Income elasticity is positive for normal goods and negative for inferior goods.
  • A price ceiling set below equilibrium creates a shortage. A price floor set above equilibrium creates a surplus.
  • A subsidy lowers the cost of supply and shifts the supply curve to the right.
  • Negative externalities are costs imposed on third parties. Positive externalities are benefits to third parties.
  • Public goods are non-excludable and non-rival, so private firms struggle to provide them.
  • A monopoly is a single seller with high barriers to entry and strong pricing power.
  • Perfect competition has many sellers, identical products and no barriers to entry.
  • Economies of scale lower average cost as output grows. Diseconomies raise it when a firm gets too large.

Common mistakes

  • Treating a change in the good's own price as a shift in the demand curve. Fix: Own price changes only move you along the curve. Only other factors shift it.
  • Mixing up the effect of a rise in the price of a substitute and of a complement. Fix: Substitutes compete, so a rise in the price of one increases demand for the other. Complements are used together, so it reduces demand.
  • Dividing by the new figure when calculating percentage change. Fix: Always use (new − old) ÷ old. Write the base next to the figure before dividing.
  • Inverting the formula, giving price change ÷ quantity change. Fix: Put the effect on top. Quantity is the response, so it is the numerator.
  • Saying a price ceiling always causes a shortage. Fix: Always compare the control price with equilibrium first.
  • Mixing up a ceiling and a floor. Fix: Ceiling = maximum price, protects buyers, shortage. Floor = minimum price, protects sellers, surplus.
  • Treating any cost to the producer as a negative externality. Fix: An externality must fall on a third party outside the transaction. Costs the firm pays itself are private costs.
  • Calling a good a public good because the government provides it. Fix: Use the test: non-excludable and non-rival. Education is usually a merit good, not a pure public good.
  • Confusing monopolistic competition with monopoly. Fix: Remember that monopolistic competition has many firms and easy entry. Monopoly has one firm.
  • Saying oligopoly firms always collude. Fix: Say collusion is possible, but it is usually illegal. Many oligopolies compete on non-price factors without agreements.

Exam tips

  • Read the first words of the question for the cause. If it is the good's own price, the answer is a movement along the curve, not a shift.
  • Under time pressure, name the curve first, then the direction, then the result. This avoids most errors.
  • In multiple response questions, check each option against the shift rules separately before selecting.
  • Watch for 'change in demand' versus 'change in quantity demanded'. They are different answers.
  • When a number entry question gives quantities at prices, find where the two quantities match.
  • In Section A, the sign and the comparison with 1 often decide the answer. Check these before doing full arithmetic.
  • For multiple response questions, read the number of options you must select and tick exactly that many.
  • Number entry questions may ask for a specific rounding or ask you to ignore the sign. Read the instruction before typing.