A firm has total fixed costs of £60 and total variable costs of £40, £64, £78, £96, £130 and £186 at outputs of one to six units. Calculate the share of total cost accounted for by fixed cost at one, three and six units, and say what the trend shows.

Total cost is fixed cost plus variable cost, so it is £100, £124, £138, £156, £190 and £246 at one to six units, and £60 at zero output, where the firm still pays its fixed costs. The fixed cost share is 60 ÷ 100 = 60.0 per cent at one unit, 60 ÷ 138 = 43.5 per cent at three units and 60 ÷ 246 = 24.4 per cent at six units. The share falls continuously because the same £60 is spread over more and more units while variable cost keeps rising. This is the arithmetic behind the shape of the average fixed cost curve, which falls towards but never reaches zero, and it is why a firm with heavy fixed costs has such a strong incentive to raise output.

A firm's total fixed cost is £60. What is average fixed cost at outputs of one to six units, and what shape does the average fixed cost curve take?

Dividing £60 by each output gives £60, £30, £20, £15, £12 and £10. Average fixed cost falls continuously as output rises, because a constant total is spread over more units, which firms call spreading the overheads. The curve is a rectangular hyperbola: it falls steeply at low outputs, then flattens, approaching the horizontal axis ever more closely without ever reaching it, since the fixed cost never disappears entirely.

Total variable cost at outputs of one to six units is £40, £64, £78, £96, £130 and £186. What is average variable cost at each output, and where is it at its minimum?

Dividing each by the corresponding output gives £40, £32, £26, £24, £26 and £31. Average variable cost is lowest at four units, at £24. It falls and then rises, giving the characteristic U shape, because the variable factor is at first used more efficiently alongside the fixed factor and later runs into diminishing returns as the fixed capacity becomes crowded.

A firm's total fixed cost is £60 and its total variable cost at outputs of one to six units is £40, £64, £78, £96, £130 and £186. Calculate average total cost at each output and identify the output at which it is lowest.

Total cost is £100, £124, £138, £156, £190 and £246, and dividing each by output gives average total costs of £100, £62, £46, £39, £38 and £41. The lowest average total cost is £38 at five units. Producing at the bottom of the average total cost curve is what is meant by productive efficiency in the short run: no other output produces each unit more cheaply.

At an output of four units a firm's average fixed cost is £15 and its average variable cost is £24. What is average total cost, and why does the gap between the average total cost and average variable cost curves narrow as output rises?

Average total cost is the sum of the two, 15 + 24 = £39. The vertical gap between the two curves is average fixed cost, and since the fixed total is spread over more units as output rises, that gap shrinks continuously. The two curves therefore converge as output increases but never meet, because average fixed cost approaches zero without reaching it.

A firm's total cost is £60 at zero output and £100, £124, £138, £156, £190 and £246 at outputs of one to six units. Calculate marginal cost for each additional unit and identify where diminishing marginal returns set in.

Marginal cost is the change in total cost from one more unit: £40, £24, £14, £18, £34 and £56. It falls to a minimum of £14 on the third unit and rises from the fourth onwards. That turning point is where diminishing marginal returns begin: beyond three units each extra unit of the variable factor adds less to output than the one before, so the cost of producing each extra unit of output starts to climb.

CCEA A-Level Economics 4410

Key Economic Concepts

Topic overview The four factors of production Positive statements and normative judgements Economic agents and what they are trying to achieve Capital goods and consumption goods Product markets and factor markets

The Basic Economic Problem of Scarcity and Choice

Topic overview Scarcity, choice and opportunity cost Drawing and reading the production possibility frontier Using a PPF to show choice, opportunity cost, efficiency and growth Why an economy operates inside its frontier Specialisation and the division of labour Free market, planned and mixed economies

Demand and Supply in Product Markets

Topic overview What determines demand and what determines supply Movements along a curve versus shifts of a curve Why the demand curve slopes downwards Why the supply curve slopes upwards: marginal cost and the profit incentive Consumer surplus and producer surplus When consumers do not behave rationally

Markets and Equilibrium

Topic overview Market equilibrium and how markets clear How shifts in demand and supply change the equilibrium Price signals, incentives, rationing and the role of profit Joint, composite and derived demand and joint supply Tracing effects between interrelated markets Community surplus and allocative efficiency Demand and supply in housing, energy and commodity markets Indirect taxes and subsidies: impact and incidence

Elasticity of Demand and Supply

Topic overview Price elasticity of demand: measuring and interpreting Income and cross elasticity: normal, inferior, substitutes and complements Price elasticity of supply What determines the value of an elasticity Elasticity and total revenue How useful is elasticity for firms and government?

Factor Markets: Labour

Topic overview How a competitive labour market sets the wage Elasticity of labour demand and labour supply Wage differentials and why they persist Economic rent and transfer earnings Flexibility: trade unions, welfare and migration Minimum wages and government intervention in the labour market

Market Failures and Imperfections

Topic overview Market equilibrium, the social optimum and the meaning of market failure Externalities: private, external and social costs and benefits Community surplus and the externality diagrams Calculating and interpreting welfare loss Public goods, quasi-public goods and the free rider problem The consequences of missing markets for public goods Merit goods and demerit goods Information gaps and asymmetric information The consequences of merit goods, demerit goods and information failure Market power and other market imperfections Income and wealth inequality Absolute and relative poverty

Government Intervention in Markets

Topic overview Why governments step into markets Indirect taxes Subsidies, and choosing between taxes and subsidies Maximum and minimum prices State provision Regulation Information provision Tradeable pollution permits Government failure

The Circular Flow of Income

Topic overview Households, firms and the two-way flow Injections and withdrawals in an open economy with government Equilibrium and change in the circular flow

Measuring National Income

Topic overview Three routes to the same total: income, expenditure and output GDP as a measure of welfare and its limitations Domestic or national? GDP and GNP compared Nominal and real values: correcting for price changes Total and per capita measures

Aggregate Demand

Topic overview The four components of aggregate demand Why the aggregate demand curve slopes downwards Movements along and shifts in aggregate demand Factors that shift aggregate demand Investment: gross, net and fixed capital

Aggregate Supply

Topic overview Why short-run aggregate supply slopes upwards Factors that shift short-run aggregate supply Movements along and shifts in aggregate supply From the short run to the long run What determines long-run aggregate supply Keynesian and neoclassical views of long-run aggregate supply

Macroeconomic Equilibrium

Topic overview How aggregate demand and aggregate supply determine equilibrium Applying AD-AS analysis to growth and unemployment Applying AD-AS analysis to inflation

Macroeconomic Objectives

Topic overview Why governments target inflation, unemployment, the external balance and growth Objectives beyond the main four: the environment and the distribution of income and wealth Picturing inequality: the Lorenz curve and the Gini coefficient Where the objectives collide: the main policy conflicts Judging the trade-offs: how sharp is a conflict?

Inflation

Topic overview Inflation, deflation and disinflation: what the words actually mean Measuring the rate: the CPI and the RPI Working with index numbers Building a price index: the basket and the significance of weights Demand-pull and cost-push inflation The costs and consequences of inflation and deflation The policy response to inflation

Unemployment

Topic overview The claimant count and the ILO measure of unemployment Calculating and interpreting unemployment statistics Unemployment and economic inactivity: a distinction that changes the numbers The types of unemployment and what distinguishes them The causes of unemployment and of economic inactivity The costs and consequences of unemployment and inactivity Policies for unemployment and intervention in the labour market

Economic Growth

Topic overview Actual and potential growth on a production possibility frontier Measuring economic growth The economic cycle and output gaps The causes of economic growth Benefits, costs and the sustainability of growth Policies to promote economic growth using AD–AS analysis

Fiscal Policy and Its Effects

Topic overview What fiscal policy is and how it works Government spending and taxation: the main categories Direct and indirect taxation Fiscal policy in the AD-AS model Evaluating the impact of fiscal policy on output, employment, prices and agents

Monetary Policy

Topic overview The nature of monetary policy and the interest rate instrument The transmission mechanism from interest rates to aggregate demand Monetary policy in the AD-AS model Evaluating the impact of monetary policy on output, employment, prices and agents

Supply-Side Policies

Topic overview The nature of supply-side policy and tax cuts Deregulation and evaluating market-based supply-side policy Competition and innovation as supply-side policy Infrastructure as supply-side policy Labour market reform Education, training and the skills of the workforce Labour productivity: determinants and significance Supply-side policies in the AD-AS model Evaluating the impact of supply-side policies

Exchange Rates and the National Economy

Topic overview What an exchange rate is and how it is measured Exchange rate changes in the AD-AS model Holding the exchange rate above or below the market clearing level Why a government might have an exchange rate policy Evaluating the impact of exchange rate changes on output, employment, prices and agents

Short Run Versus Long Run

Topic overview The short run, the long run and the law of diminishing returns Fixed, variable and total costs of production Calculating and drawing the short-run cost curves Revenue curves: total, average and marginal revenue The profit-maximising output Shutdown, breakeven, and normal and supernormal profit Long-run cost, economies of scale and minimum efficient scale Efficiency, X inefficiency and the effects of firm size

Business Objectives

Topic overview Why firms pursue maximum profit Alternative objectives: revenue, growth, managerial utility, satisficing and the environment Ownership, control and the principal-agent problem Stakeholders, and public versus private sector objectives

Business Growth

Topic overview How and why firms grow, and why some stay small Organic growth versus merger and acquisition Horizontal, vertical and conglomerate integration Evaluating the motives for and consequences of growth

Measuring Markets

Topic overview Market size, market share and market growth The n firm concentration ratio Difficulties in measuring market share accurately Sales value against sales volume

Analysing Market Structures

Topic overview What defines a market structure Price and output across the structures Efficiency across the market structures Market structure and innovation How useful are the models of market structure?

Perfect Competition

Topic overview The price taker's revenue curves and short-run equilibrium The firm and the industry side by side How the market moves from the short run to the long run

Monopoly

Topic overview Barriers to entry Monopoly equilibrium and its consequences Price discrimination Natural monopoly Creative destruction

Monopolistic Competition

Topic overview The firm's demand curve when products are differentiated Short-run equilibrium for the firm Long-run equilibrium and excess capacity How the market moves from the short run to the long run

Oligopoly

Topic overview Concentration and interdependence: what marks out an oligopoly Collusion and price leadership Price wars and sustaining collusion Non-price competition and product differentiation The kinked demand curve model Game theory and the pay-off matrix Evaluating the costs and benefits of oligopoly

Contestable Markets

Topic overview What makes a market contestable Sunk costs and hit-and-run entry How ease of entry changes the behaviour of firms Judging contestability and its significance

Competition Policy

Topic overview The aims and shape of competition policy Breaking up firms and controlling mergers Regulation, regulators and price caps Evaluating regulation and its alternatives Taxation and subsidies as competition remedies Nationalisation Privatisation, and choosing between public and private ownership Banning unfair trading practices Judging competition policy and government failure

Trade and Globalisation

Topic overview Calculating absolute and comparative advantage Evaluating comparative advantage and its limits The gains and losses from free trade Globalisation and its effects Foreign direct investment The instruments of protectionism Evaluating protectionism The World Trade Organisation Trading blocs, trade creation and trade diversion

Economic Development

Topic overview What economic development means and how it differs from growth The difficulties of measuring development National income statistics and comparisons of living standards The Human Development Index Growth in less developed countries: benefits, costs and constraints Promoting development: aid, institutions, debt and trade

Balance of Payments

Topic overview How the balance of payments is put together Consequences of current account deficits and surpluses Policies to correct current account imbalances Expenditure-switching and expenditure-reducing policies

Exchange Rate Systems and Competitiveness

Topic overview How foreign exchange markets operate The influences on currency demand and supply Monetary policy, intervention and other influences on the exchange rate Fixed and floating exchange rate systems The Marshall-Lerner condition and the J-curve The effect of exchange rate changes on the current account Trade-weighted exchange rate indices Purchasing power parity and comparing competitiveness Evaluating exchange rate policy

European Union (EU)

Topic overview The economic case for membership of a trading bloc The costs and constraints of membership, and the position of candidate countries Enlargement, withdrawal and changes in the structure of the union The Eurozone: one currency and one interest rate

Monetary Policy and the Financial Sector

Topic overview Central banks, the banking sector and the money supply Setting the base rate and the transmission of monetary policy The Fisher equation of exchange and the quantity theory of money The financial sector and the real economy Moral hazard in banking Regulating the financial system Regulation and the money supply in a global economy Quantitative easing The money supply and monetary policy in an open economy The effectiveness of monetary policy

Fiscal Deficits and the National Debt

Topic overview The deficit and the debt: a flow and a stock What determines the size of a fiscal deficit Discretionary policy and automatic stabilisers Financing the deficit: bonds, borrowing and crowding out The benefits and costs of a deficit and of the national debt Fiscal policy, macroeconomic objectives and economic agents

Macroeconomic Policies and Objectives in a Global Economy

Topic overview Comparing the performance of different economies Global events and how they reach the domestic economy Responding to external demand and supply shocks Problems and constraints facing policymakers How the priority given to macroeconomic objectives has changed Comparing policies against one another

Quantitative Skills in Economics

Topic overview Ratios, shares and proportions in economic data Percentages and percentage changes in economic data Averages, medians and quantiles Index numbers, weighting and rebasing Converting money values to real values Cost, revenue and profit Elasticity: calculating the number and reading its meaning Choosing and reading economic charts and diagrams Interpreting economic data critically

Quantitative Skills in Economics

Cost, revenue and profit

1 thing to know
All units

Overview

Difference between normal and supernormal profit.

What you need to know

Answer each one before you reveal it.

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Key term

A firm's fixed costs rise from £60 to £90 while its variable costs are unchanged. What happens to the profit-maximising output and to profit?

Questions from this subtopic

Each one with the model answer underneath.

1
A firm has total fixed costs of £60 and total variable costs of £40, £64, £78, £96, £130 and £186 at outputs of one to six units. Calculate the share of total cost accounted for by fixed cost at one, three and six units, and say what the trend shows.
Model answer
Total cost is fixed cost plus variable cost, so it is £100, £124, £138, £156, £190 and £246 at one to six units, and £60 at zero output, where the firm still pays its fixed costs. The fixed cost share is 60 ÷ 100 = 60.0 per cent at one unit, 60 ÷ 138 = 43.5 per cent at three units and 60 ÷ 246 = 24.4 per cent at six units. The share falls continuously because the same £60 is spread over more and more units while variable cost keeps rising. This is the arithmetic behind the shape of the average fixed cost curve, which falls towards but never reaches zero, and it is why a firm with heavy fixed costs has such a strong incentive to raise output.
2
A firm's total fixed cost is £60. What is average fixed cost at outputs of one to six units, and what shape does the average fixed cost curve take?
Model answer
Dividing £60 by each output gives £60, £30, £20, £15, £12 and £10. Average fixed cost falls continuously as output rises, because a constant total is spread over more units, which firms call spreading the overheads. The curve is a rectangular hyperbola: it falls steeply at low outputs, then flattens, approaching the horizontal axis ever more closely without ever reaching it, since the fixed cost never disappears entirely.
3
Total variable cost at outputs of one to six units is £40, £64, £78, £96, £130 and £186. What is average variable cost at each output, and where is it at its minimum?
Model answer
Dividing each by the corresponding output gives £40, £32, £26, £24, £26 and £31. Average variable cost is lowest at four units, at £24. It falls and then rises, giving the characteristic U shape, because the variable factor is at first used more efficiently alongside the fixed factor and later runs into diminishing returns as the fixed capacity becomes crowded.
4
A firm's total fixed cost is £60 and its total variable cost at outputs of one to six units is £40, £64, £78, £96, £130 and £186. Calculate average total cost at each output and identify the output at which it is lowest.
Model answer
Total cost is £100, £124, £138, £156, £190 and £246, and dividing each by output gives average total costs of £100, £62, £46, £39, £38 and £41. The lowest average total cost is £38 at five units. Producing at the bottom of the average total cost curve is what is meant by productive efficiency in the short run: no other output produces each unit more cheaply.
5
At an output of four units a firm's average fixed cost is £15 and its average variable cost is £24. What is average total cost, and why does the gap between the average total cost and average variable cost curves narrow as output rises?
Model answer
Average total cost is the sum of the two, 15 + 24 = £39. The vertical gap between the two curves is average fixed cost, and since the fixed total is spread over more units as output rises, that gap shrinks continuously. The two curves therefore converge as output increases but never meet, because average fixed cost approaches zero without reaching it.
6
A firm's total cost is £60 at zero output and £100, £124, £138, £156, £190 and £246 at outputs of one to six units. Calculate marginal cost for each additional unit and identify where diminishing marginal returns set in.
Model answer
Marginal cost is the change in total cost from one more unit: £40, £24, £14, £18, £34 and £56. It falls to a minimum of £14 on the third unit and rises from the fourth onwards. That turning point is where diminishing marginal returns begin: beyond three units each extra unit of the variable factor adds less to output than the one before, so the cost of producing each extra unit of output starts to climb.

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Key Economic Concepts

The Basic Economic Problem of Scarcity and Choice

Demand and Supply in Product Markets

Markets and Equilibrium

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