Final answer:
To maximize overall free time, you should do the dishes where you are substantially faster, while the roommates handle other tasks like vacuuming. This can create tension due to perceived unfairness and may resemble international trade issues arising from specialization.
Step-by-step explanation:
The question relates to task allocation and time management in a shared living environment, with considerations of efficiency and the potentially problematic dynamics that might arise. Since you are 70% faster at dishes and 10% faster with vacuuming than your roommates, it would be most efficient for you to take on the task where you have the greatest relative speed advantage, which is doing the dishes. Assigning your roommates to tasks where the speed difference is less pronounced, such as vacuuming, would ensure a more equitable distribution of labor and maximize your free time overall.
However, this arrangement might lead to issues pertaining to perceived fairness or roommates taking your swiftness for granted, potentially causing friction. A trade-related analogy could be specialization in international trade, where countries focus on producing goods and services at which they are relatively more efficient, optimally benefitting all participating countries but also sometimes resulting in disputes over labor standards, market access, and trade imbalances.