Final answer:
To get the most free time overall, assign your roommates the tasks they are the slowest at. Assigning tasks based on individual strengths and weaknesses can create some problems in a roommate situation, similar to countries specializing in the production of goods or services they have a comparative advantage in and then trading with other countries to maximize overall productivity.
Step-by-step explanation:
To determine which tasks you should assign to your roommates in order to get the most free time overall, you need to calculate the time it takes for each person to complete each task. Let's assume it takes you 100 minutes to do the dishes and 200 minutes to vacuum. Since you are 70% faster at dishes, you would complete them in 30 minutes (100 minutes - 70% = 30 minutes). Similarly, vacuuming would take you 180 minutes (200 minutes - 10% = 180 minutes). To get the most free time, assign your roommates the tasks they are the slowest at. In this case, you should assign them vacuuming, as it would take you less time to complete, and assign yourself the dishes. This way, you would have the most free time overall.
Assigning tasks based on individual strengths and weaknesses can create some problems in a roommate situation. For example, if you always finish your tasks quickly and have extra free time, you may become resentful of your roommates for not pulling their weight. This can lead to tension and conflicts. A trade-related analogy to this problem could be countries specializing in the production of goods or services they have a comparative advantage in and then trading with other countries to maximize overall productivity.