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Math Help - Matrices transition problem

  1. #1
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    Matrices transition problem

    Write the initial population matrix for the following situation. start using a transion diagram:

    A small community has a workforce of 1800 people with 1680 and 120 unemployed. During the course of a one year, 10% of the employed workers will lose their jobs and 60 % of the unemployed will find jobs.
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  2. #2
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    Hello, ecdino2!

    A small community has a workforce of 1800 people with 1680 and 120 unemployed.
    During the course of a one year, 10% of the employed workers will lose their jobs
    and 60% of the unemployed will find jobs.

    Write the initial polulation matrix.

    A_o \;=\;(1680,\:120)




    Draw a transition diagram.


    . . \begin{array}{cccccc}<br />
& _{0.1} \\<br />
_{0.9}\circlearrowright E & ^{\longrightarrow}_{\longleftarrow} & U \circlearrowleft\:_{0.4} \\<br />
& ^{0.6} \end{array}


    \text{Transition matrix: }\;A \;=\;\begin{pmatrix}0.9 & 0.1 \\ 0.6 & 0.4\end{pmatrix}

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  3. #3
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    thanks a lot.
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