If Country A produces 7,000 units of goods and services using 700 hours of labor, and if Country B produces 5,500 units of goods and services using 500 units of labor, then productivity is lower in Country A than in Country B.

Question

BlackTom AI · Accepted Answer

Productivity equals output per unit of labor, so calculate each country's output per labor unit and compare.

1. Relevant knowledge points and concepts
- Productivity is defined as output divided by the input used to produce it (commonly output per hour of labor).
- To compare productivity between countries, compute output per labor unit for each and compare the numerical values.
- Ensure units are consistent (units of goods per hour of labor).

2. Step-by-step reasoning
- For Country A: use the formula productivity = total output / total labor hours.
- For Country B: same formula, using its output and labor.

3. Calculations with intermediate steps
- Country A productivity = 7,000 units ÷ 700 hours
  = (7,000 / 700) units per hour
  = 10 units per hour.
- Country B productivity = 5,500 units ÷ 500 hours
  = (5,500 / 500) units per hour
  = 11 units per hour.

4. Why the correct answer is correct
- Country A produces 10 units per hour while Country B produces 11 units per hour. Since 10 < 11, Country A’s productivity is lower than Country B’s. The statement "productivity is lower in Country A than in Country B" is therefore true based on the computed output per labor hour.

5. Why the other option (False) is incorrect
- Answering False would imply Country A’s productivity is equal to or greater than Country B’s. The arithmetic shows Country A’s productivity (10) is less than Country B’s (11), so False contradicts the computed values and is incorrect.

6. Conclusion
- The correct conclusion is True: productivity is lower in Country A than in Country B. This matches the provided answer (True).

If Country A produces 7,000 units of goods and services using 700 hours of labor, and if Country B produces 5,500 units of goods and services using 500 units of labor, then productivity is lower in Country A than in Country B.判断题

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