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Suppose you are a cable guy and are sent out for jobs ji where each has a start time si and finish time fi. you can instantly start a new job once one is finished, but no jobs can overlap. your goal is to get as many jobs as you can done in one day.Prove that greedy strategy choosing the job that starts the latest is possible in an optimal solution. Prove suboptimality property holds for the cable guy problem.

User JasonOng
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Final answer:

The principle of comparative advantage should be applied when dividing tasks among differently efficient individuals, leading to optimized productivity and task division, with the fastest individual performing the task where they hold the highest speed advantage.

Step-by-step explanation:

The question touches upon concepts of productivity and optimization of time and resources within a group dynamic, applicable to economics, specifically in the arena of comparative advantage and division of labor. When faced with the scenario where one individual can accomplish tasks at varying levels of efficiency compared to others, the principle of comparative advantage suggests that each person should focus on the tasks where their productivity disadvantage is the smallest.

This optimizes overall productivity and ensures that all tasks are completed in a more timely and efficient manner. If you are 70% faster at dishes and 10% faster at vacuuming, you should take on the task where you have the highest relative speed advantage, which in this case is doing the dishes.

By assigning your roommates to vacuum, where your speed advantage is less, you're effectively minimizing the total time spent on chores. The potential problems that can arise from this arrangement include resentment from the roommates due to perceived unfairness or a breakdown in the shared responsibility system.

This situation has a direct analogy to trade-related scenarios where countries or entities benefit from specializing in producing goods or services where they hold a comparative advantage. This leads to more efficient production and potential gains from intra-industry trade where similar economies trade goods and services amongst each other, optimizing overall output and consumption.

Therefore, applying these concepts to everyday life, like sharing household chores, can lead to maximizing free time and overall productivity.

User Rushee
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