The owner decides he wants to employ only new trainee staff. He also wants only new trainee staff who are siblings of his permanent staff. He believes that each month, 5% of his permanent staff would have a sibling who would be suitable to start as a trainee staff member. His staffing model would therefore be defined by the rule S, - 78, + FS,4 and the matrix S, giving the number of staff at the end of the first month in January 2013 would therefore be defined as S-78, + FS, where 0 0 0 07 [o o 0.05 0 0 0 00 0 0 0 0 10 0 0 0 09 0.7 0 [0.2 0.1 03 I 0.8 0 T= and F 60 where the matrices T and S, are the same matrices as used in Question 2. How many new trainee staff would be added in January 2013 according to this model? a. How many probationary staff members will there be at the end of the second month in 2013 according to this model? Express your answer to the nearest whole number. b.

The owner decides he wants to employ only new trainee staff. He also wants only new trainee staff who are siblings of his permanent staff. He believes that each month, 5% of his permanent staff would have a sibling who would be suitable to start as a trainee staff member. His staffing model would therefore be defined by the rule S, - 78, + FS,4 and the matrix S, giving the number of staff at the end of the first month in January 2013 would therefore be defined as S-78, + FS, where 0 0 0 07 [o o 0.05 0 0 0 00 0 0 0 0 10 0 0 0 09 0.7 0 [0.2 0.1 03 I 0.8 0 T= and F 60 where the matrices T and S, are the same matrices as used in Question 2. How many new trainee staff would be added in January 2013 according to this model? a. How many probationary staff members will there be at the end of the second month in 2013 according to this model? Express your answer to the nearest whole number. b.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 72EQ

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