Which option represents the greatest labor productivity?(1 point)

Responses

the production of five toy cars in 2.5 labor hours
the production of five toy cars in 2.5 labor hours

the production of 20 toy cars in four hours
the production of 20 toy cars in four hours

the production of five toy cars in two hours
the production of five toy cars in two hours

the production of ten toy cars in ten labor hours

1 answer

Labor productivity is calculated as the amount of output produced per unit of labor hour. To compare the options, we'll calculate the labor productivity for each scenario:

  1. Five toy cars in 2.5 labor hours: \[ \text{Productivity} = \frac{5 \text{ cars}}{2.5 \text{ hours}} = 2 \text{ cars/hour} \]

  2. Twenty toy cars in four hours: \[ \text{Productivity} = \frac{20 \text{ cars}}{4 \text{ hours}} = 5 \text{ cars/hour} \]

  3. Five toy cars in two hours: \[ \text{Productivity} = \frac{5 \text{ cars}}{2 \text{ hours}} = 2.5 \text{ cars/hour} \]

  4. Ten toy cars in ten labor hours: \[ \text{Productivity} = \frac{10 \text{ cars}}{10 \text{ hours}} = 1 \text{ car/hour} \]

Now, let's compare the productivity values:

  • 2 cars/hour
  • 5 cars/hour
  • 2.5 cars/hour
  • 1 car/hour

The option with the greatest labor productivity is the production of 20 toy cars in four hours at 5 cars/hour.