Representing Customer Loyalty and Transfer With Matrices
Start Month 1 | Gains | Losses | Start Month 2 | |||||
From | From | From | To | To | To | |||
Company | Customers | A | B | C | A | B | C | Customers |
A | 200 | 0 | 35 | 25 | 0 | 20 | 20 | 220 |
B | 500 | 20 | 0 | 20 | 35 | 0 | 15 | 490 |
c | 300 | 20 | 15 | 0 | 25 | 20 | 0 | 290 |
A | B | C | |
A | 0.8 | 0.1 | 0.1 |
B | 0.07 | 0.9 | 0.03 |
C | 0.083 | 0.067 | 0.85 |
\[(a,b,c)= \left| \begin{array}{ccc} 0.8 & 0.1 & 0.1 \\ 0.07 & 0.9 & 0.03 \\ 0.083 & 0.067 & 0.85 \end{array} \right| (a,b,c)\]
,The solution is
\[a=273, \; b=454, \; c=273\]