Question 1 (a)(ii)

PPC when a new seed triples the yield of rice

3 marks

Time to write
About 6 minutes
Topic
Scarcity, opportunity cost and the PPF

Question

Question 1 (a)(ii) · 3 marks

Suppose the production of Rice and Cars are shown on x-axis and y-axis, how will the PPC change when:

  1. Scientists discover a new variety of seeds which yields three times more Rice.

Reworded from the university paper; the task is the same. The original paper belongs to the University of Delhi. See DU's question bank.

Before you write

Read off the question and its marks

6 minfor 3 marks

What the paper leaves open

As printed, the opening sentence of part (a) is followed by two items, (i) and (ii), each with its own marks (3); the opening sentence is repeated in each part. The space before the comma after "y-axis" and the plural "are" after "the production of Rice and Cars" are as printed.

Write it in this order

  1. 1 The PPC and what it assumes 1 mark 2 min
  2. 2 Effect on the rice intercept, the car intercept unchanged 1½ marks 3 min
  3. 3 Conclusion: outward rotation on the rice axis ½ mark 1 min

Short on time? Step 2 carries 1½ of the 3 marks: guard its minutes.

Try it first. About 6 minutes for 3 marks. Write it out, then open the solution.

Solution

Hover or tap a marked figure, like 72,000, to see how it is made and where else it appears.

The PPC before the change. With rice on the x-axis and cars on the y-axis, the production possibility curve (PPC) shows the largest output of cars the economy can make for each output of rice (and the other way round) when all its resources are fully and efficiently used. It is drawn for a given state of technology and given resources; a change in technology in either industry moves it.

What the change does. The new variety of seed raises output only in rice: the same land, labour and capital now give three times as much rice. Nothing changes in the car industry, which does not use seed.

  • Rice intercept. If all resources are put into rice, the economy now grows three times as much rice as before, so the point on the x-axis moves out to three times its old distance from the origin.
  • Car intercept. If all resources are put into cars, the seed is irrelevant and car output is exactly what it was, so the point on the y-axis does not move.
  • Points in between. For any division of resources, car output is unchanged while rice output triples, so every point of the curve (other than the car intercept) moves horizontally to the right, to three times its old rice output.

The new PPC. The PPC rotates outward about its fixed point on the car axis, swinging out along the rice axis. It becomes flatter: each extra car now means giving up three times as much rice as before, and each extra unit of rice costs only a third of the cars it used to cost. So the opportunity cost of rice in terms of cars falls, which is the slope effect of a change that favours one good only.

Conclusion. A technical advance confined to rice shifts the PPC outward only on the rice axis: the rice intercept triples and the car intercept stays where it was, so the economy can have more rice for any given output of cars.

Where the 3 marks sit

#ComponentMarks
1The PPC and what it assumes1
2Effect on the rice intercept, the car intercept unchanged1.5
3Conclusion: outward rotation on the rice axis0.5
Total3
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