Final answer:
To maximize free time, assign the chores you are fastest at to yourself and the rest to your roommates. This could lead to resentment or a decrease in cleanliness. A trade-related analogy is the principle of comparative advantage in economics.
Step-by-step explanation:
You have identified that you are significantly faster at doing certain household chores than your roommates. To maximize your free time, and considering that all tasks are required to be done daily, you should assign the chores that you do not have a comparative speed advantage in to your roommates. This means you should take on dishes, where you are 70% faster, and possibly vacuuming, where you are 10% faster, as your main responsibilities. This will reduce the total time spent on these tasks for the household and theoretically increase your free time.
However, this strategy can lead to problems such as resentment from roommates who might feel overburdened or perceive the arrangement as unfair. It could also lead to a decrease in overall cleanliness if they are not as thorough or diligent as you. A trade-related analogy to this situation could be comparative advantage in economics where each country (or individual, in this case) should produce the good they are relatively more efficient at, leading to a more efficient allocation of resources.