AS Economics › Unit 1 › Lesson 1.5

Production possibility curves

Lesson 1.559 past-paper questions
Study note · Scarcity, choice and the production possibility curve

This note covers several lessons in the unit, so read it through once. Use “Go deeper” for the A Level extension.

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There is no economics on a desert island with unlimited coconuts. Every question the subject asks exists because wants exceed the means of satisfying them, so choosing one thing means giving up another. That single fact generates the whole discipline: prices are how societies ration scarce things, markets are how they decide who gets them, and government intervention is what happens when the answer is judged unacceptable.

Definition

The basic economic problem

Unlimited human wants set against finite resources, which makes scarcity unavoidable and forces choices about what to produce, how to produce it and for whom.

Note the precision in that definition. The problem is not that resources are small; it is that they are finite while wants are not. A wealthy country faces the basic economic problem exactly as a poor one does, because however much it produces there remain things it would like and cannot have. Scarcity is therefore a permanent condition rather than a stage to be grown out of, and this is why the subject remains relevant to rich economies.

Every decision-maker faces the basic economic problem. Consumers have limited incomes and must choose which goods to buy. Workers have limited time and must choose between work and leisure, and between jobs. Firms have limited resources and must choose what to produce and how. Governments have limited tax revenue and must choose between spending on schools, hospitals, defence or roads.

Most goods are economic goods: they are scarce, so producing them uses resources that could have been used for something else, and they have an opportunity cost. A free good is so plentiful that using it takes nothing away from anyone else, so it has no opportunity cost, such as air to breathe or sea water. Genuine free goods are rare, and a good that is free to the user, such as a state school place, is not a free good, because resources were used to provide it.

Exam tip · define

Scarcity is not shortage and examiners test the difference. A shortage is temporary and specific: demand exceeds supply at the current price, and a price rise resolves it. Scarcity is permanent and general: there will never be enough of everything to satisfy all wants at zero price. Defining scarcity as 'not enough of something' loses the mark.

Every society must answer three questions, and the way it answers them defines its economic system. What to produce, since resources used for one thing cannot be used for another. How to produce it, meaning which combination of labour and capital to use. And for whom, which is the distribution question and determines who actually receives the output. A market economy answers all three through prices; a planned economy answers them through government decision; a mixed economy uses both.

Resources are grouped into four factors of production, each with its own reward. Land covers all natural resources, including the soil, minerals, forests and fisheries, and earns rent. Labour is human effort, both physical and mental, and earns wages. Capital is goods used to produce other goods, meaning machinery, buildings, tools and infrastructure rather than money, and earns interest. Enterprise is the willingness to organise the other three and bear the risk of doing so, and earns profit. Capital is the one students most often get wrong: money is not capital, because money produces nothing by itself.

The quantity and quality of the factors of production change over time. The quantity of labour rises with population growth, immigration and more people choosing to work; capital rises through investment; land and raw materials can rise with new discoveries or fall as they are used up. Quality rises with education and training, which make workers more skilled, and with new technology, which makes capital more productive. More or better factors of production are what allow an economy to produce more.

Definition

Opportunity cost

The value of the next best alternative forgone when a choice is made.

Exam tip · define

The words 'next best' carry the mark. Opportunity cost is not everything you gave up, it is the single most valuable thing you gave up. A student choosing to study economics gives up history, art and sleep, but the opportunity cost is whichever one of those they would otherwise have chosen. An answer saying 'what you have to give up' is incomplete.

Worked example

Identifying opportunity cost in three different decisions

State the opportunity cost in each case. (a) A government spends $50m building a hospital; its alternatives were a school worth $50m of benefit or road repairs worth $30m. (b) A worker turns down a job paying $28,000 to stay in one paying $25,000 with better conditions. (c) A firm uses a warehouse it already owns rather than renting it out for $40,000 a year.

The production possibility curve

The production possibility curve shows the maximum combinations of two goods an economy can produce with its current resources and technology, all resources fully and efficiently employed. Points on the curve are attainable and efficient. Points inside are attainable but inefficient, meaning resources are unemployed or badly used. Points outside are unattainable with current resources. Movement along the curve shows the opportunity cost of producing more of one good, measured in units of the other given up, and the whole curve shifting outwards is economic growth.

The curve is usually drawn concave to the origin, bowing outwards, and the reason is worth knowing rather than memorising. Resources are not equally suited to every use. Transferring the first workers and land from agriculture to manufacturing moves those best suited to manufacturing, so little agricultural output is lost for a large industrial gain. Continuing means transferring resources increasingly ill-suited to their new use, so each extra unit of manufacturing costs progressively more agriculture. Opportunity cost therefore rises as you move along the curve, which is exactly what a concave shape shows. If all resources were perfectly substitutable the curve would be a straight line.

Diagram task

Draw a PPC for consumer goods and capital goods. Mark a point on the curve, one inside and one outside, and label what each represents. Then show three separate changes on fresh copies: an outward shift from new technology, a movement from inside the curve towards it after a recovery in demand, and a pivot where only capital goods output can rise.

The pivot is worth practising because it appears less often and catches candidates out. A technological improvement affecting only one industry rotates the curve outwards along that axis while the intercept on the other axis is unchanged, since the maximum possible output of the unaffected good has not altered.

Check question

An economy is producing at a point inside its production possibility curve. This shows that:

Check question

Why is the PPC normally drawn concave to the origin rather than as a straight line?

How economists reason

Economics distinguishes positive from normative statements and the distinction is examined directly. A positive statement is about what is, and can in principle be tested against evidence, whether or not it happens to be true: 'a rise in the minimum wage reduced employment in this sector by 2%' is positive. A normative statement is about what ought to be, and involves a value judgement that no amount of data can settle: 'the minimum wage should be raised' is normative. Most policy debate mixes the two, and much apparent disagreement between economists turns out to be normative disagreement dressed in positive language.

Economics is a social science. It studies how people behave when they make choices under scarcity, so its subject is human behaviour rather than physical matter, and people do not always respond the same way twice. That is why economists cannot run the controlled experiments a chemist can, and why their conclusions are stated as tendencies, other things being equal, rather than as laws that hold without exception.

Because controlled experiments are rarely possible, economists build models, which are deliberate simplifications holding most things constant so that one relationship can be examined. The phrase ceteris paribus, other things being equal, is the formal statement of this. A model is not judged by whether its assumptions are realistic, since all models simplify, but by whether its predictions hold. This is also the source of two common errors: the fallacy of composition, assuming what is true for one is true for all, as with the paradox of thrift; and confusing correlation with causation, since two variables moving together need not mean one causes the other.

Economists also separate decisions by the time period involved, because what can change depends on how long a decision-maker has. In the short run at least one factor of production is fixed: a firm can hire more workers but cannot build a new factory. In the long run all factors can be varied, so the firm can change its scale, but the technology available is taken as given. In the very long run the technology itself can change, through research, invention and innovation, so what the factors can produce changes too. The periods are defined by what can vary, not by weeks or years, which is why the long run for a market stall is far shorter than for a steelworks.

Economics also distinguishes free goods from economic goods. A free good has no opportunity cost because it is abundant relative to wants, so using it deprives nobody. Genuine examples are rare and getting rarer: air was the standard one until clean air became scarce enough to have a value. An economic good is scarce relative to wants and therefore has an opportunity cost and commands a price. The distinction matters because it identifies precisely when economic analysis applies, which is whenever a resource has an alternative use.

Capital comes in two forms. Physical capital is the man-made equipment used in production: machinery, factories, vehicles, roads and computer networks. Human capital is the knowledge, skills, health and experience of the workforce, built up through education, training and healthcare. Both raise the productivity of labour and both require sacrificing consumption today to build them, which is why spending on schools and training is as much an investment as spending on machines. The distinction matters for development and growth questions, where a shortage of human capital often limits what physical capital can achieve: a modern factory needs trained people to run it.

Check question

A government pays for a national apprenticeship scheme that trains young workers as electricians. This is best described as an investment in:

Check question

Which of the following is a positive statement?

Diagram task

Draw two PPCs for capital goods and consumer goods, representing two economies with identical current output levels. Mark Economy A at a point heavily weighted towards consumer goods and Economy B at a point heavily weighted towards capital goods. Then sketch each economy's PPC ten years later.

Economy B's curve has shifted further out, because capital goods are the inputs to future production, so choosing them today raises tomorrow's capacity. Economy A enjoyed higher living standards over the decade. Neither choice is a mistake, which is the point: the PPC shows the opportunity cost of present consumption is future growth, and how to weigh those is a normative question.

In context

Applied context

Wartime economies are the clearest real illustration of PPC analysis, because the reallocation is visible and abrupt. Economies mobilising for war move sharply along the curve from civilian towards military output, with rationing making the opportunity cost explicit to households. What complicates the simple picture is that mobilisation also drew previously inactive people into the workforce and pushed factories beyond normal capacity, so output rose above what the pre-war curve suggested was possible, which is a reminder that the curve represents sustainable capacity rather than an absolute physical limit.

Use this to make the analytical point that a PPC assumes full employment of currently available resources, and that participation and utilisation can both change. It is a more sophisticated observation than simply describing a movement along the curve.

Analysis chain

How the choice on the PPC today determines the curve tomorrow

  1. An economy chooses a point on its PPC weighted towards capital goods rather than consumer goods.
  2. Producing capital goods means fewer consumer goods now, so present living standards are lower than they could be.
  3. The capital goods produced add to the economy's capital stock, net of depreciation.
  4. A larger capital stock means each worker has more equipment to work with, so labour productivity rises.
  5. Productive capacity increases, so the PPC shifts outwards.
  6. The economy can now produce more of both goods than before, so future living standards are higher.
  7. The opportunity cost of present consumption was therefore future growth, and the choice between the two is a distribution question between present and future generations.

The final step is what turns a diagram into an argument. This chain reappears in the growth topic as the investment channel and in development as the savings gap, so it is worth learning once properly.

Practise this chain →
Links to

This note is the foundation the rest of the subject stands on. Opportunity cost recurs as economic cost and normal profit in the theory of the firm, and as the comparison against which every policy is judged. The PPC reappears as actual and potential growth, and as the distinction between a point inside the curve and the curve itself, which is the difference between cyclical unemployment and a capacity constraint. The three questions of what, how and for whom lead directly into economic systems, and the 'for whom' question is the whole of the equity and redistribution topic. Positive and normative reasoning underlies every evaluation question on the paper.

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Evaluation

How useful is the production possibility curve?

  • Its strength is that it makes three difficult ideas visible at once, scarcity, choice and opportunity cost, using only two axes. Very few models in any subject do that much with so little.
  • Against that, it shows only two goods where a real economy produces millions, so it is a teaching device rather than an analytical tool. Nothing can be calculated from it about an actual economy.
  • It assumes a given state of technology and a fixed quantity of resources, both of which change continuously in practice, so the curve it depicts is never stationary long enough to be observed.
  • It says nothing about distribution. Two economies can sit at the same point on the same curve with entirely different living standards for most of their populations, which is the same limitation GDP per capita has.
  • It also treats the curve as an absolute limit, whereas participation rates and capacity utilisation can rise under pressure, as wartime mobilisation showed. The boundary is sustainable capacity rather than a physical maximum.
  • The strongest position is that the PPC earns its place by clarifying the concept of opportunity cost at the level of a whole economy, and should be judged as an aid to reasoning rather than as a description of anything.
Exam tip · analyse

PPC questions are marked on precision about the type of change. A movement along the curve is a reallocation with an opportunity cost. A movement from inside towards the curve is a fall in unemployment with no opportunity cost. An outward shift is a rise in capacity. A pivot is a change affecting one industry only. Name which of the four is happening before explaining anything else, and the analysis follows.