In a study of the domestic market share of three major automobile manufacturers A, B and C in a certain country, it was found out that of the customers who bought a car manufactured by A, 75% would again buy a car manufactured by A, 15% would buy a car manufactured by B and the rest would buy a car manufactured by C. Of the customers who bought a car manufactured by B, 90% would again buy a car manufactured by B, 5% would buy a car manufactured by A and the rest would buy a car manufactured by C. Of the customers who bought a car manufactured by C, 85% would again buy a car manufactured by C, 5% would buy a car manufactured by A and the rest would buy a car manufactured by B. Required The long run market share of the manufacturers

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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In a study of the domestic market share of three major automobile manufacturers A, B and C in a certain country, it was found out that of the customers who bought a car manufactured by A, 75% would again buy a car manufactured by A, 15% would buy a car manufactured by B and the rest would buy a car manufactured by C. Of the customers who bought a car manufactured by B, 90% would again buy a car manufactured by B, 5% would buy a car manufactured by A and the rest would buy a car manufactured by C. Of the customers who bought a car manufactured by C, 85% would again buy a car manufactured by C, 5% would buy a car manufactured by A and the rest would buy a car manufactured by B.

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The long run market share of the manufacturers                                                          

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