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# Lesson 9 Feb 22 2010

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### Lesson 9 Feb 22 2010

1. 1. Transition Matrices
2. 2. Solve for x and y.
3. 3. An Example A small community has a workforce of 1800 people, with 1680  employed and 120 unemployed. During the course of one year, 10% of  the employed workers will lose their jobs and 60% of the unemployed  will find jobs. The "Initial State Matrix" The "Transition Diagram" E U S = E U E U S =
4. 4. The "Transition Matrix" E U E T = U E U T = E U
5. 5. Predicting the future ... A small community has a workforce of 1800 people, with 1680 employed  and 120 unemployed. During the course of one year, 10% of the  employed workers will lose their jobs and 60% of the unemployed will  find jobs. After 1 Year S0T = S1 After 2 years S0T2 = S2 After 5 Years S0T5 = S5
6. 6. Predicting the future ... A small community has a workforce of 1800 people, with 1680 employed  and 120 unemployed. During the course of one year, 10% of the  employed workers will lose their jobs and 60% of the unemployed will  find jobs. After 1 Year S0T = S1 After 2 years S0T2 = S2 After 5 Years S0T5 = S5
7. 7. After 50 years S0T50 = S50 Demonstrate stabilization ...
8. 8. Exercise 6 Questions 1 ­ 5