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21 April, 07:01

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

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Answers (1)
  1. 21 April, 07:26
    0
    300 iPods, 450 tablets

    Step-by-step explanation:

    dа ta:

    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.
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