Econ Lab · Scarcity

The production possibility frontier

Give a country a fixed pile of workers, machines, and land, and ask it to make two things, say phones and food. It cannot have all it wants of both. Every worker put on phones is a worker not growing food.

The curve on the left is the edge of what is possible. Grab the dot and slide it. You are choosing how the country spends itself.

020406080100020406080100
Phones (millions)\text{Phones (millions)}
Food (tonnes)\text{Food (tonnes)}
Attainable\text{Attainable}
Frontier\text{Frontier}
opportunity cost
4040
9292

On the curve every resource is in use. Inside is wasteful, outside is impossible. The only real choice is where along the frontier to sit.

Here the split is fairly even, 4040 phones and 9292 food. One more phone now costs about 0.40.4 units of food, close to a one-for-one trade. The easy-to-shift resources are already used, so each extra phone starts to bite.

Drag the dot along the frontier, or use the slider. On a phone, the slider is easiest.

Try it

Anywhere on the curve, the country is using everything it has. A point inside the curve is possible but wasteful, resources sitting idle. A point outside is simply out of reach, there is not enough to go around. So the real choice is not whether to be on the frontier, it is where on it to sit.

The slope is the cost

Slide toward more phones and watch the food fall. That drop is the price of the extra phones, paid not in money but in food given up. Economists call it opportunity cost, and on this picture it is simply the steepness of the frontier where you are standing.

opportunity cost of a phone=slope=xy\text{opportunity cost of a phone} = \left|\text{slope}\right| = \frac{x}{y}

The dashed line is that slope drawn out. Where the frontier is shallow, a phone costs little food. Where it is steep, a phone costs a lot.

Why it bows

Notice the curve is not a straight line. It bulges outward, and that shape is the whole story. Resources are not equally good at everything. The first workers moved off food are the ones who were bad at farming anyway, so the first phones are cheap. Keep going and you start pulling your best farmers onto phones, and each new phone costs more and more food.

That is increasing opportunity cost, and it is why the frontier steepens as you drag toward either end.

What you just did

You read a production possibility frontier, the cleanest picture in economics of the one idea everything else rests on. Scarcity means choosing, choosing means giving something up, and the slope of the frontier is exactly how much. Every trade-off you meet later, in a firm, a household, or a whole economy, is this same move.

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