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Mathematik-Online problems:

Problem 82: Matrices of Transfer

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
The three firms ATech, BTech and CTech launch a new microchip. In the beginning ATech has 40%, BTech 20% and CTech 40% of the market shares. During the first year ATech loses 5% of its customers to BTech and 10% to CTech, BTech loses 15% of its costomers to ATech and 10% to CTech and CTech loses to ATech and BTech each with 5%. During the following years the shares develop in the same way.
a)
Which shares the firms have after the first, second and third year?
b)
After some years the shares leveled off and there is no change any more. Who's the market leader?

(Authors: Kirchgässner/Brenner/Höfert)

Solution:

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  automatisch erstellt am 14. 10. 2004