Question

Suppose that a worker In Country A can make either 10 IPods or 5 tablets each year. Country A? has 100 workers. Suppose a worker in Country B can make elther 2 IPods or 10 tablets each year. Country B has 200 workers. A bundle of goods that Country B could potentially make would be:

Multiple Choice

200 iPods, 1,500 tablets
400 iPods, 2,000 tablets
300 iPods, 450 tablets
400 Pods, 1 tablet

Answer 1

300 iPods, 450 tablets

Explanation:

Data:

Country A has 100 workers. 1 worker can make either 10 iPods or 5 tablets each year.

Country B has 200 workers. 1 worker can make either 2 iPods or 10 tablets each year.

For this problem we only need to use Country B data. Let's calculate the maximum number of iPods or tablets they can make in 1 year:

Total iPods = 2 x 200 = 400 (if they only make iPods)

Total tablets = 10 x 200 = 2000 (if they only make tablets)

By calculating this we can discard option B and option D. Because it has the maximum number of iPods (year limit) and some tablets. And this is not possible for the workers.

Now let's analyze option A:

For 200 iPods we need: 200 / 2 workers = 100 workers

For 1500 tablets we need: 1500 / 10 workers = 150 workers

100 workers + 150 workers = 250 workers ≥ 200 workers

It is proved that option A is impossible, because it exceeds the workers that Country B has.

Now let's analyze option C:

For 300 iPods we need: 300 / 2 workers = 150 workers

For 450 tablets we need: 450 / 10 workers = 45 workers

150 workers + 45 workers = 195 workers ≤ 200 workers

It is proved that option C is the only viable one for Country B.