X, and WWP. Each week, APS loses 10% of its customers to GX and 20% to WWP, GX loses 15% of its ustomers to APS and 10% to WWP, and WWP loses 5% of its customers to APS and 5% to GX. Assuming hat these percentages remain valid over a long period of time, what is each company's expected market hare in the long run?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Market share. Consumers in a certain area can choose between three package delivery services: APS,
GX, and WWP. Each week, APS loses 10% of its customers to GX and 20% to WWP, GX loses 15% of its
customers to APS and 10% to WWP, and WWP loses 5% of its customers to APS and 5% to GX. Assuming
that these percentages remain valid over a long period of time, what is each company's expected market
share in the long run?
Transcribed Image Text:Market share. Consumers in a certain area can choose between three package delivery services: APS, GX, and WWP. Each week, APS loses 10% of its customers to GX and 20% to WWP, GX loses 15% of its customers to APS and 10% to WWP, and WWP loses 5% of its customers to APS and 5% to GX. Assuming that these percentages remain valid over a long period of time, what is each company's expected market share in the long run?
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