hw 1 solution

# hw 1 solution - Homework 1 Solutions Stat 408 Problem 1...

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January 15, 2008 Homework 1 Solutions Stat 408 Problem 1. What is a system? Provide an example. Solution. A system is a collection of components that come together repeatedly for a purpose. One example is a school district. It contains administrators, students, teachers, parents, and community members and works to educate the students, enhance their intrinsic joy to learn, and prepare them for society. Problem 2. Explain how we would find the purpose. Give an example of the process we use to find the purpose. Solution. We can find the purpose by asking ”why?”. We need to know why we want to do something. WE also must choose the purpose by deciding what represents a win for everyone in our system, and we must manage the system so that everyone works to accomplish this purpose. Problem 3. What does ”optimization” of the system mean? What is ”sub-optimization?” Solution. Optimization of the system means achieving the purpose. Sub-optimization occurs when we do not achieve the purpose. Problem 4. Provide an exampledistinct from the one used in lecture— to illustrate a circumstance where ’everyone doing his or her best’ may sub-optimize. Solution. If we are a crew team (whose objective is to row a boat the fastest toward a finish line) and everyone rows as fast as his or her strength allows, the team will probably not win. Their efforts must be synchronized for the boat to cross the finish line at all, and especially if they want to win the race. Problem 5. Describe the terms ’dependent’, ’independent’, and interdependent.’ Why are the components of a system ’interdependent?’ Solution. Components are dependent if one component can only operate if another is operating.

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