Final answer:
To get the most free time overall, you should assign the tasks that you are slower at to your roommates, while keeping the tasks that you are faster at for yourself. Assigning tasks based on each person's strengths and weaknesses can create problems if someone feels overwhelmed or if the workload is not distributed fairly.
Step-by-step explanation:
To get the most free time overall, you should assign the tasks that you are slower at to your roommates, while keeping the tasks that you are faster at for yourself. Since you are 70% faster at dishes and 10% faster with vacuuming, you should assign the dishes and vacuuming tasks to your roommates. This way, you will have more time for other activities.
Assigning tasks based on each person's strengths and weaknesses can create problems if someone feels overwhelmed or if the workload is not distributed fairly. In this scenario, you being faster at cleaning might cause your roommates to feel like they are doing more work. A trade-related analogy to this problem could be the concept of specialization and comparative advantage, where each person focuses on tasks they are most efficient at, leading to overall productivity.