Explanation of Solution
Relating two
Suppose that at the beginning of each year, people change the beer they drink.
Let for
Since 30% of the people who prefer beer 1 switch to beer 2 and 20% of the people switch to beer 3, so the remaining 50% continue to be with beer 1. Also, 10% of people who prefer beer 3 switch to beer 1.
Hence, the number of people who prefer beer 1 in the beginning of next month is given below:
Now, 30% of the people who prefer beer 2 switch to beer 3 and the remaining 70% of the people continue to be with beer 2. Also, 30% of people who prefer beer 3 switch to beer 2 and 30% of the people who prefer beer 1 switch to beer 2.
Hence, the number of people who prefer beer 2 in the beginning of next month is given below:
Then, 30% of the people who prefer beer 3 switch to beer 2 and 10% of the people switch to beer 1, so the remaining 60% continue to be with beer 3. Also, 20% of people who prefer beer 1 switch to beer 3 and 30% of the people who prefer beer 2 switch to beer 3.
Hence, the number of people who prefer beer 3 in the beginning of next month is given below:
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Chapter 2 Solutions
Operations Research: Applications and Algorithms
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Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole