A market research team is conducting research to determine people’s preference in toothpaste. A group of 200 people are tracked regarding their use of two toothpaste brands, Brand A and Brand B. Of those using Brand A in any month, 70% continue to use it the following month, while 30% switch to Brand B. Of those using Brand B in any month, 80% continue to use it, while 20% switch to Brand A. Suppose that the study begins with 120 people using brand A and 80 people using brand B. (a) How many people will be using each brand 2 months later? (b) What is the steady state for toothpaste users in this situation?
A market research team is conducting research to determine people’s preference in toothpaste. A group of 200 people are tracked regarding their use of two toothpaste brands, Brand A and Brand B. Of those using Brand A in any month, 70% continue to use it the following month, while 30% switch to Brand B. Of those using Brand B in any month, 80% continue to use it, while 20% switch to Brand A. Suppose that the study begins with 120 people using brand A and 80 people using brand B. (a) How many people will be using each brand 2 months later? (b) What is the steady state for toothpaste users in this situation?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A market research team is conducting research to determine people’s preference in toothpaste. A group of 200 people are tracked regarding their use of two toothpaste brands, Brand A and Brand B. Of those using Brand A in any month, 70% continue to use it the following month, while 30% switch to Brand B. Of those using Brand B in any month, 80% continue to use it, while 20% switch to Brand A. Suppose that the study begins with 120 people using brand A and 80 people using brand B.
(a) How many people will be using each brand 2 months later?
(b) What is the steady state for toothpaste users in this situation?
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