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In one hour, two canopy shakers loosen 144,000 pounds of oranges from 100 trees and catch the fruit in a large storage car. It would take four pickers four (eight-hour) days to pick 144,000 pounds of oranges. The driver of a canopy shaker earns $15 an hour, while a picker earns $10 an hour. The grove owner receives $1 a pound of oranges.

Suppose that the market for farm workers is competitive, there is no farm-workers union, and grove owners maximize profit.

Calculate the marginal product of a picker and the marginal product of the driver of a canopy shaker.

The marginal product of a picker is ____ pounds an hour.

Answer :

The marginal product of a picker is 562.5 pounds per hour, and the marginal product of a driver of a canopy shaker is 72,000 pounds per hour.

To calculate the marginal product of a picker and the driver of a canopy shaker, we need to understand how much output each worker can generate per hour. The marginal product of a worker is the additional amount of output that is produced by hiring one more worker.

First, let's determine the marginal product of a picker. We know that it takes four pickers four (eight-hour) days to pick 144,000 pounds of oranges. This equals to 32 worker-days (4 workers imes 8 hours/day × 4 days).

  • Since the total output is 144,000 pounds, we divide this by the 32 worker-days:
  • 144,000 pounds / 32 worker-days = 4,500 pounds/worker-day.
  • To find the hourly marginal product, we further divide by 8 hours:
  • 4,500 pounds / 8 hours = 562.5 pounds/hour.

Therefore, the marginal product of a picker is 562.5 pounds per hour.

Next, to find the marginal product of a canopy shaker driver, we note that two drivers can loosen 144,000 pounds in one hour. Hence, the marginal product of each driver for one hour is:

144,000 pounds / 2 drivers = 72,000 pounds/driver-hour.

So the marginal product of a driver of a canopy shaker is 72,000 pounds per hour.

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