Introduction to mathematical programming
Introduction to mathematical programming
4th Edition
ISBN: 9780534359645
Author: Jeffrey B. Goldberg
Publisher: Cengage Learning
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Chapter 2, Problem 12RP

Explanation of Solution

Relating two vectors:

Suppose that Rt be the number of rural residents at the beginning of the year t, and Ct be the number of city residents at the beginning of the year t.

Since 10% of the rural residents moved to city, remaining 90% of the rural decided to continue to stay at the rural residents at the beginning of the year t+1.

Thus, the number of rural residents in the beginning of the year t+1 is given below:

Rt+1=0.9Rt+0.2Ct

Also, 20% of city residents moved to the rural residents in the beginning of the year t+1.

Therefore, the number of city residents in the beginning of the year t+1 is as follows:

Ct+1=0

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