In Florida groves, machines replace labor. 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.

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

- The average product of a picker is calculated as follows: It takes four pickers 32 hours to pick 144,000 pounds of oranges, totaling 128 hours. The average product of labor of a picker is 144,000 pounds divided by 128 hours, which is 1,125 pounds per hour.

- Determine the average product of the driver of a canopy shaker.

The average product of labor for a picker is 1,125 pounds per hour, and the marginal product of a canopy shaker driver is 72,000 pounds of oranges per hour.

Explanation:

The marginal product of a worker is defined as the additional output that can be produced by adding one more unit of a particular type of labor while holding all other inputs constant. In this case, we must calculate the marginal product of a picker and the marginal product of the driver of a canopy shaker on an orange grove.

For a picker, we are given that 4 pickers can pick 144,000 pounds of oranges in four 8-hour days, or 32 hours. Thus, the total labor employed is 128 hours (4 pickers * 32 hours). To find the average product of labor, we divide the total product (144,000 pounds) by the total labor used (128 hours). As a result, the average product of labor for a picker is 1,125 pounds per hour.

For the driver of a canopy shaker, we know that two canopy shakers can gather 144,000 pounds of oranges in 1 hour. So, each driver produces 72,000 pounds of oranges per hour (144,000 pounds / 2). Therefore, the marginal product of the shaker driver would be 72,000 pounds of oranges per hour.

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