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Consider a city with three taxi companies, A, B and C. Assume that, after a year,...

Consider a city with three taxi companies, A, B and C. Assume that, after a year, 60% of those who were with provider A stay with A, 20% switch to B and 20% switch to C. Of those who were with B, 55% stay with B, 15% switch to A and 30% switch to C the next year. Of those who were with C, 80% stay with C, 10% switch to A and 10% switch to B the next year. If those trends continued unchanged year after year and the population of the city stays the same, what will happen after many years? Formulate the system of difference equations and find the equilibrium values.

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