To determine which option represents an increase in labor productivity, we need to calculate labor productivity as GDP divided by the total labor hours.
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For the first option:
- GDP increase: 200 billion to 400 billion
- Labor hours increase: 50 million to 75 million
- Labor Productivity = GDP / Labor Hours =
- Before: 200 billion / 50 million = 4,000
- After: 400 billion / 75 million = 5,333.33
- Productivity increased
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For the second option:
- GDP decreased: 400 billion to 200 billion
- Labor hours decreased: 75 million to 50 million
- Labor Productivity =
- Before: 400 billion / 75 million = 5,333.33
- After: 200 billion / 50 million = 4,000
- Productivity decreased
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For the third option:
- GDP increase: 200 billion to 400 billion
- Labor hours increase: 50 million to 100 million
- Labor Productivity =
- Before: 200 billion / 50 million = 4,000
- After: 400 billion / 100 million = 4,000
- Productivity stayed the same
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For the fourth option:
- GDP decreased: 400 billion to 200 billion
- Labor hours decreased: 100 million to 50 million
- Labor Productivity =
- Before: 400 billion / 100 million = 4,000
- After: 200 billion / 50 million = 4,000
- Productivity stayed the same
The only option reflecting an increase in labor productivity is the first option.