population has the following characteristics. (a) A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 2 the first year, 4 the second year, and 2 the third year. The population now consists of 112 members in each of the three age classes. How many members will there be in each age class in 1 year?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A population has the following characteristics.

(a) A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year. The maximum life span is 3 years.
(b) The average number of offspring for each member of the population is 2 the first year, 4 the second year, and 2 the third year.

The population now consists of 112 members in each of the three age classes. How many members will there be in each age class in 1 year?

0 ≤ age ≤ 1      
1 ≤ age ≤ 2      
2 ≤ age ≤ 3      


In 2 years?

0 ≤ age ≤ 1      
1 ≤ age ≤ 2      
2 ≤ age ≤ 3    
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