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 3 the first year, 5 the second year, and 3 the third year. The population now consists of 144 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 =

After 1st year, the age distribution will be

After 2nd year, the age distribution will be

Step-by-step explanation:

A population has the following characteristics.

A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year.

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.

From the above information, we can construct a transition age matrix.

The population now consists of 144 members in each of the three age classes.

From the above information, we can construct the current age matrix.

How many members will there be in each age class in 1 year?

After 1st year, the age distribution will be

The matrix multiplication is possible since the number of columns of first matrix is equal to the number of rows of second matrix.

After 2nd year, the age distribution will be