Final answer:
To improve housekeeping efficiency among roommates, delegate tasks based on individual speed, with the person who is significantly faster at a particular task taking it on. This mirrors the economic concept of comparative advantage, increasing overall productivity and free time.
Step-by-step explanation:
When considering how to allocate housekeeping tasks among roommates, the goal is to maximize overall free time and efficiency. Since you are 70% faster at doing the dishes, it makes sense for you to take on that task, while assigning the task of vacuuming to your roommates, where the speed difference is only 10%. By doing this, the total amount of time spent on cleaning by the household is minimized, freeing up more time for all.
However, this arrangement could potentially lead to problems such as a lack of cooperation or increased resentment among roommates, as they might feel that the division of labor is unfair. To prevent this, open communication and a mutual understanding of the benefits of such an arrangement are essential.
Regarding a trade-related analogy, this can be likened to the concept of comparative advantage, where each party specializes in the task they are relatively more efficient at, leading to better productivity for the whole group.