Econ Lab · Production

Economic growth

An economy choosing between phones and food is always trading one off against the other. Make more phones, give up some food. That trade-off is the frontier, and for a while it feels like a hard wall. Then a new machine arrives, or the workforce grows, and the wall moves.

Slide the growth factor and watch the whole frontier push outward.

020406080100120140020406080100120140
Phones\text{Phones}
Food\text{Food}
before\text{before}
after growth\text{after growth}

The frontier marks the most this economy can make. Growth moves the whole line, so the question is never one good or the other, it is whether the economy can reach more of both.

Growth of 1.201.20 comes from better technology or more workers, and it pushes the frontier out to a reach of 120120 on each good. The whole old dashed curve now sits inside the new one, so every bundle that used to be the limit is now easy, with room to spare for more phones and more food together. That is what makes growth different from a one-off trade-off. Nothing was given up to get here.

The dashed curve is where the economy started. The solid curve is where growth takes it.

The frontier is a budget for a whole economy

Every point on the curve uses all the workers, machines, and land the economy has. You cannot get further out without more of those, and sitting inside means something is idle. The bow in the curve is rising opportunity cost: the more phones you already make, the more food each extra phone costs.

Growth scales the whole curve

A single growth factor stretches the frontier outward from the origin. Both ends move at once, so the economy gains room for more phones and more food together.

food=100g1(phones100g)2\text{food} = 100\,g \sqrt{1 - \left(\frac{\text{phones}}{100\,g}\right)^2}

At g=1g = 1 the curve runs from 100 phones to 100 food. Push gg above one and both reaches grow in step.

Once-impossible bundles become reachable

Pick any point on the old dashed curve. After growth it sits safely inside the new one, with room to spare. The bundles that used to be on the far side of the wall, more phones and more food than the economy could ever manage, are now ordinary choices. Nothing was given up to get there. The wall simply moved.

What you just did

You watched a trade-off loosen without anyone choosing it. The frontier still curves, opportunity cost is still real, but the whole frame of what is possible grew. That outward shift is what economists mean by growth, and it is why a richer economy is not just making harder choices, it is making them from a bigger menu.

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