4. Consider a colony of raccoons. Assume that the raccoons live at most 5 years. Divide the female population by age (one group for each year). Breeding rate is the average number of raccoons per year per raccoon in that age group and the survival rate is the proportion of raccoons in that age group that survive another year. Suppose that the initial population is No = 100 and the raccoon colony has the following data: Age Group Initial Population 40 Breeding Rate Survival Rate 0-1 1-2 2-3 3-4 4-5 30 15 10 3. 2 1 0.6 0.4 0.2 0.1 (a) Predict the population distributions for the next 4 years. (b) Determine the long term population growth trend, and find the long term distribution (in percentages) of the age groups.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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4. Consider a colony of raccoons. Assume that the raccoons live at most 5 years. Divide the
female population by age (one group for each year). Breeding rate is the average number of
raccoons per year per raccoon in that age group and the survival rate is the proportion of
raccoons in that age group that survive another year. Suppose that the initial population is
No = 100 and the raccoon colony has the following data:
Age Group
Initial Population
Breeding Rate
0-1 1-2
40
2-3
3-4 4-5
30
15
10
1
Survival Rate
0.6
0.4
0.2
0.1
(a) Predict the population distributions for the next 4 years.
(b) Determine the long term population growth trend, and find the long term distribution
(in percentages) of the age groups.
Transcribed Image Text:4. Consider a colony of raccoons. Assume that the raccoons live at most 5 years. Divide the female population by age (one group for each year). Breeding rate is the average number of raccoons per year per raccoon in that age group and the survival rate is the proportion of raccoons in that age group that survive another year. Suppose that the initial population is No = 100 and the raccoon colony has the following data: Age Group Initial Population Breeding Rate 0-1 1-2 40 2-3 3-4 4-5 30 15 10 1 Survival Rate 0.6 0.4 0.2 0.1 (a) Predict the population distributions for the next 4 years. (b) Determine the long term population growth trend, and find the long term distribution (in percentages) of the age groups.
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