A population of a town is divided into three age classes: less than or equal to...

  

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A population of a town is divided into three age classes: less than or equal to 20 years old, between 20 and 40 years old, and greater than 40 years old. After each period of 20 years, there are 86 % people of the first age class still alive, 77 % people of the second age class still alive and 69 % people of the third age class still alive. The average birth rate of people in the first age class during this period is 1.44 (1.e., each person in the first age class, on average, give birth to about 1:44 babies during this period); the birth rate for the second age class is 1.59, and for the third age class is 0.56, respectively. Suppose that the town, at the present, has 10222, 13535, 10923 people in the three age classes, respectively. 1. Write the transition matrix. Answer: A 2. How many people there will be in the first age class after 40 years? Answer: 3. How many people there were in the first age class 20 years ago? Answer: A population of a town is divided into three age classes: less than or equal to 20 years old, between 20 and 40 years old, and greater than 40 years old. After each period of 20 years, there are 86 % people of the first age class still alive, 77 % people of the second age class still alive and 69 % people of the third age class still alive. The average birth rate of people in the first age class during this period is 1.44 (1.e., each person in the first age class, on average, give birth to about 1:44 babies during this period); the birth rate for the second age class is 1.59, and for the third age class is 0.56, respectively. Suppose that the town, at the present, has 10222, 13535, 10923 people in the three age classes, respectively. 1. Write the transition matrix. Answer: A 2. How many people there will be in the first age class after 40 years? Answer: 3. How many people there were in the first age class 20 years ago? Answer:

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1 086 0 069 014 159 031 0 0 1 2 There will be 865 people in the first age class over 40 years ... View the full answer