Final answer:
The marginal product of the third painter, which is found by subtracting the output of two painters from that of three painters, is 75 square feet per hour.
Step-by-step explanation:
The subject of this question is Mathematics, specifically related to the concept of marginal product in the context of productivity assessment. The question presents a scenario with painters and their outputs given a certain number of workers. To find the marginal product of the third painter, we need to look at how much additional area is painted thanks to the third painter joining in. With two painters, 200 square feet is painted. When the third painter joins, the total painted area becomes 275 square feet.
The marginal product of the third painter is the difference between what three painters can paint and what two painters can paint:
- Total area painted by three painters: 275 square feet.
- Total area painted by two painters: 200 square feet.
- Marginal product of the third painter = (275 - 200) square feet = 75 square feet.
Therefore, the marginal product of the third painter is 75 square feet.