A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year. The population now consists of 160 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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A population has the following characteristics.
(a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years.
(b) The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year.
The population now consists of 160 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
Transcribed Image Text:A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year. The population now consists of 160 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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