To determine the greatest labor productivity, we can calculate the productivity for each option by dividing the number of toy cars produced by the number of labor hours required to produce them. The formula for labor productivity is:
\[ \text{Labor Productivity} = \frac{\text{Number of Toy Cars}}{\text{Labor Hours}} \]
Let's calculate for each option:
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Production of 20 toy cars in four hours: \[ \text{Labor Productivity} = \frac{20 \text{ cars}}{4 \text{ hours}} = 5 \text{ cars/hour} \]
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Production of ten toy cars in ten labor hours: \[ \text{Labor Productivity} = \frac{10 \text{ cars}}{10 \text{ hours}} = 1 \text{ car/hour} \]
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Production of five toy cars in two hours: \[ \text{Labor Productivity} = \frac{5 \text{ cars}}{2 \text{ hours}} = 2.5 \text{ cars/hour} \]
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Production of five toy cars in 2.5 labor hours: \[ \text{Labor Productivity} = \frac{5 \text{ cars}}{2.5 \text{ hours}} = 2 \text{ cars/hour} \]
Now, let's summarize the results:
- Option 1: 5 cars/hour
- Option 2: 1 car/hour
- Option 3: 2.5 cars/hour
- Option 4: 2 cars/hour
The option representing the greatest labor productivity is the production of 20 toy cars in four hours, with a productivity of 5 cars/hour.
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