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A Country Has Two Main Political Parties P=(f,s,n)\vec{P}=(f, s, n) Gives the Number of People Who Are Members of the s

Question 95

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A country has two main political parties. The vector P=(f,s,n)\vec{P}=(f, s, n) gives the number of people who are members of the first party, the second party, and neither party, respectively. Suppose Pnew =TPold =(0.850.030.100.110.950.150.040.020.75)Pold \vec{P}_{\text {new }}=\mathbf{T} \vec{P}_{\text {old }}=\left(\begin{array}{lll}0.85 & 0.03 & 0.10 \\ 0.11 & 0.95 & 0.15 \\ 0.04 & 0.02 & 0.75\end{array}\right) \vec{P}_{\text {old }} . Let P2005=(22,20,14)\vec{P}_{2005}=(22,20,14) be the population vector (in tens of thousands) in the year 2005. What is P2007\vec{P}_{2007} ?

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