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, 4 the second year, and 3 the third year. The population now consists of 176 members in each of the three age classes. How many members will there be in each age class in 1 year? 0 s age s 1 1 s age s 2 2 s age s 3 In 2 years? 0 s age s 1 1 s age s 2 2 s age s 3

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, 4 the second year, and 3 the third year. The population now consists of 176 members in each of the three age classes. How many members will there be in each age class in 1 year? 0 s age s 1 1 s age s 2 2 s age s 3 In 2 years? 0 s age s 1 1 s age s 2 2 s age s 3

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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Question

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, 4 the second year, and 3 the third year.
The population now consists of 176 members in each of the three age classes. How many members will there be in each age class in 1 year?
0 s age < 1
1 < age < 2
2 s age < 3
In 2 years?
0 s age s 1
1 s age < 2
2 s age s 3

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