Limmer's is going to launch a new advertising campaign in order to attract new customers. The "before" and "after" transition matrices are shown below:
Before: $$\begin{array}{l}
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { Next Week }\
\begin{array} { l c c }
\text { This Week } & \text { Don's } & \text { Limmer's } \
\hline \text { Don's } & 0.9 & 0.1 \
\text { Limmer's } & 0.2 & 0.8
\end{array}
\end{array}$$
After: $$\begin{array}{l}
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { Next Week }\
\begin{array} { l c c }
\text { This Week } & \text { Don's } & \text { Limmer's } \
\hline \text { Don's } & 0.85 & 0.15 \
\text { Limmer's } & 0.2 & 0.8
\end{array}
\end{array}$$
If there are 1000 customers who shop at these two stores, how many customers, over the long run, will switch to Limmer's as a result of the new campaign?

Question

Limmer's is going to launch a new advertising campaign in order to attract new customers. The "before" and "after" transition matrices are shown below:
Before: $$\begin{array}{l}
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { Next Week }\
\begin{array} { l c c } 
\text { This Week } & \text { Don's } & \text { Limmer's } \
\hline \text { Don's } & 0.9 & 0.1 \
\text { Limmer's } & 0.2 & 0.8
\end{array}
\end{array}$$ 
After: $$\begin{array}{l}
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { Next Week }\
\begin{array} { l c c } 
\text { This Week } & \text { Don's } & \text { Limmer's } \
\hline \text { Don's } & 0.85 & 0.15 \
\text { Limmer's } & 0.2 & 0.8
\end{array}
\end{array}$$ 
If there are 1000 customers who shop at these two stores, how many customers, over the long run, will switch to Limmer's as a result of the new campaign?

Quizplus · Accepted Answer

The Answer of Limmer's is going to launch a new advertising campaign in order to attract new customers. The "before" and "after" transition matrices are shown below:
Before: $$\begin{array}{l}
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { Next Week }\
\begin{array} { l c c } 
\text { This Week } & \text { Don's } & \text { Limmer's } \
\hline \text { Don's } & 0.9 & 0.1 \
\text { Limmer's } & 0.2 & 0.8
\end{array}
\end{array}$$ 
After: $$\begin{array}{l}
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { Next Week }\
\begin{array} { l c c } 
\text { This Week } & \text { Don's } & \text { Limmer's } \
\hline \text { Don's } & 0.85 & 0.15 \
\text { Limmer's } & 0.2 & 0.8
\end{array}
\end{array}$$ 
If there are 1000 customers who shop at these two stores, how many customers, over the long run, will switch to Limmer's as a result of the new campaign?

Limmer's Is Going to Launch a New Advertising Campaign in Order