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In a city three factories X, Y, Z in which the number of workers in total is a fixed number. However, it is allowed to shift from one factory to another in each month and the scenario is described in percentage as follows. At the end of each month 30% move from X to Y, 20% move from X to Z rest stay in X, 20% move from Y to X, 30% move from Y to Z, rest stay in Y, 30% move from Z to X, 35% move Z to Y, rest stay in Z. Draw the transition diagram and write the Transition matrix. If initially in the first month the state vector is given by x0-[50, 45, 35], then what is the situation in the second month? Also find the steady state vector

In a city three factories X, Y, Z in which the number of workers in total is a fixed number. However, it is allowed to shift from one factory to another in each month and the scenario is described in percentage as follows. At the end of each month 30% move from X to Y, 20% move from X to Z rest stay in X, 20% move from Y to X, 30% move from Y to Z, rest stay in Y, 30% move from Z to X, 35% move Z to Y, rest stay in Z. Draw the transition diagram and write the Transition matrix. If initially in the first month the state vector is given by x0-[50, 45, 35], then what is the situation in the second month? Also find the steady state vector

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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In a city three factories X, Y, Z in which the number of workers in total is a fixed number. However, it is allowed to shift from one factory to another in each month and the scenario is described in percentage as follows. At the end of each month 30% move from X to Y, 20% move from X to Z rest stay in X, 20% move from Y to X, 30% move from Y to Z, rest stay in Y, 30% move from Z to X, 35% move Z to Y, rest stay in Z. Draw the transition diagram and write the Transition matrix. If initially in the first month the state vector is given by x0-[50, 45, 35], then what is the situation in the second month? Also find the steady state vector
Transcribed Image Text:In a city three factories X, Y, Z in which the number of workers in total is a fixed number. However, it is allowed to shift from one factory to another in each month and the scenario is described in percentage as follows. At the end of each month 30% move from X to Y, 20% move from X to Z rest stay in X, 20% move from Y to X, 30% move from Y to Z, rest stay in Y, 30% move from Z to X, 35% move Z to Y, rest stay in Z. Draw the transition diagram and write the Transition matrix. If initially in the first month the state vector is given by x0-[50, 45, 35], then what is the situation in the second month? Also find the steady state vector
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