QUESTION 6 Table 14-3 The following data consists of a matrix of transition probabilities (P) of three office locations (A,B,C) within a large company and how employees shift from one location to the other from year to year. The company CEO would like to understand the movement of employees over time and the long-run proportion of employees in each location. Assume that there is always a total of 3000 employees. A B A [0.4 0.3 0.3] P = B 0.5 0.2 0.3 (0) = [1000, 1000, 1000) c [0.6 0.3 0.1| Using the data given in Table 14-3, how many employees do we expect in location A one year from now? O 1400 O 800 O 1500 O 1000

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
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QUESTION 6
Table 14-3
The following data consists of a matrix of transition probabilities (P) of three office locations (A,B,C) within a large company and how employees shift from one
location to the other from year to year. The company CEO would like to understand the movement of employees over time and the long-run proportion of
employees in each location. Assume that there is always a total of 3000 employees.
А В с
A [0.4 0.3 0.3
0.5 0.2 0.3 T(0) = [1000, 1000, 1000)
0.6 0.3 0.1
P = B
Using the data given in Table 14-3, how many employees do we expect in location A one year from now?
1400
800
1500
1000
O000
Transcribed Image Text:QUESTION 6 Table 14-3 The following data consists of a matrix of transition probabilities (P) of three office locations (A,B,C) within a large company and how employees shift from one location to the other from year to year. The company CEO would like to understand the movement of employees over time and the long-run proportion of employees in each location. Assume that there is always a total of 3000 employees. А В с A [0.4 0.3 0.3 0.5 0.2 0.3 T(0) = [1000, 1000, 1000) 0.6 0.3 0.1 P = B Using the data given in Table 14-3, how many employees do we expect in location A one year from now? 1400 800 1500 1000 O000
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