Suppose that the only competing suppliers of Internet services are NewServices and RealWest. At present, they each have $50\%$ of the market share in their community. However, NewServices is upgrading their connection speeds but at a higher cost. Because of this, each month $30\%$ of RealWest's customers will switch to NewServices, while $10\%$ of NewServices customers will switch to RealWest.$($a$)$ Model this situation as a Markov process.