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A DOT is responsible for maintaining a large network of roadway mileage. The results of an annual survey are as follows: Group A: 60% of
A DOT is responsible for maintaining a large network of roadway mileage. The results of an annual survey are as follows:
Group A: 60% of total mileage with a PCR between 90 and 100
Group B: 10% of total mileage with a PCR between 70 and 79
Group C: 30% of total mileage with a PCR between 80 and 89
Using the matrix above. Determine the condition of the network in (a) 2 years and (b) 3 years.
To PCR State From PCR State \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multirow{10}{*}{\begin{tabular}{l} From \\ PCR \\ State \end{tabular}} & & \begin{tabular}{c} 9 \\ 100 to 90 \end{tabular} & \begin{tabular}{c} 8 \\ 89 to 80 \end{tabular} & \begin{tabular}{c} 7 \\ 79 to 70 \end{tabular} & \begin{tabular}{c} 6 \\ 69 to 60 \end{tabular} & \begin{tabular}{c} 5 \\ 59 to 50 \end{tabular} & \begin{tabular}{c} 4 \\ 49 to 40 \end{tabular} & \begin{tabular}{c} 3 \\ 39 to 30 \end{tabular} & \begin{tabular}{c} 2 \\ 29 to 20 \end{tabular} & \begin{tabular}{c} 1 \\ 19 to 10 \end{tabular} & P \\ \hline & 100 to 90 & 0.90 & 0.10 & & & & & & & & 1.0 \\ \hline & \begin{tabular}{c} 8 \\ 89 to 80 \end{tabular} & & 0.70 & 0.30 & & & & & & & 1.0 \\ \hline & \begin{tabular}{c} 7 \\ 79 to 70 \end{tabular} & & & 0.60 & 0.30 & 0.10 & & & & & 1.0 \\ \hline & \begin{tabular}{c} 6 \\ 69 to 60 \end{tabular} & & & & 0.50 & 0.30 & 0.15 & 0.05 & & & 1.0 \\ \hline & \begin{tabular}{c} 5 \\ 59 to 50 \end{tabular} & & & & & 0.30 & 0.40 & 0.30 & & & 1.0 \\ \hline & 49 to 40 & & & & & & 0.30 & 0.70 & & & 1.0 \\ \hline & \begin{tabular}{c} 3 \\ 39 to 30 \end{tabular} & & & & & & & 0.60 & 0.35 & 0.05 & 1.0 \\ \hline & 29 to 20 & & & & & & & & 0.20 & 0.80 & 1.0 \\ \hline & \begin{tabular}{c} l \\ 19 to 10 \end{tabular} & & & & & & & & & 1.0 & 1.0 \\ \hline \end{tabular}Step by Step Solution
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