The market of a cosmetic product is divided into two competitors, Alpha and Beta. Suppose that Beta has just entered the market and has 10% of the market shares, which means Alpha has the remaining 90%. Assume that every year, 26% of Alpha clients will switch to Beta, and that 14% of Beta clients will switch to Alphå. What will the market shares be in the long run? a) Alpha: 55%, Beta: 45% O b) Alpha: 44%, Beta: 56% O c) None of these O d) Alpha: 45%, Beta: 65% O e) Alpha: 41%, Beta: 59% f) Alpha: 37%, Beta: 63%

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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The market of a cosmetic product is divided into two competitors, Alpha and Beta.
Suppose that Beta has just entered the market and has 10% of the market shares, which
means Alpha has the remaining 90%. Assume that every year, 26% of Alpha clients will
switch to Beta, and that 14% of Beta clients will switch to Alphá. What will the market
shares be in the long run?
O a) Alpha: 55%, Beta: 45%
O b) Alpha: 44%, Beta: 56%
O c) None of these
O d) Alpha: 45%, Beta: 65%
O e) Alpha: 41%, Beta: 59%
O f) Alpha: 37%, Beta: 63%
Transcribed Image Text:The market of a cosmetic product is divided into two competitors, Alpha and Beta. Suppose that Beta has just entered the market and has 10% of the market shares, which means Alpha has the remaining 90%. Assume that every year, 26% of Alpha clients will switch to Beta, and that 14% of Beta clients will switch to Alphá. What will the market shares be in the long run? O a) Alpha: 55%, Beta: 45% O b) Alpha: 44%, Beta: 56% O c) None of these O d) Alpha: 45%, Beta: 65% O e) Alpha: 41%, Beta: 59% O f) Alpha: 37%, Beta: 63%
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