Answer:
At the end of year 1,
The first age class has 2112 members.
The second age class has 44 members.
The third age class has 132 members.
Step-by-step explanation:
There are currently
176 members in age class 0
176 members in age class 1
176 members in age class 2
They all die off by age class 3
Starting with the members of age class 0. They produce 3 offsprings each during the first year, leading to 3×176 = 528 new members of age class 0 as at the end of the first year.
Then, of the 176 members of age class 0, only 25% make it to the next age class after a year, that is, only 44 of them.
So, from this group, after a year, age class 0 has 528 members, and age class 1 has 44 members.
Age class 1 group now. Population at the start = 176
They produce 6 offsprings each during that 1 year, that is, 6×176 = 1,056 new members of age class 0 at the end of that year.
Then, the survival rate for those in their second year of living is 75%, hence, 132 of them make it to the next age class.
So, from this group, after a year, age class 0 has 1056 members, and age class 2 has 132 members.
Age class 2 group now. Population at the start = 176
They produce 3 offsprings each during that 1 year, that is, 3×176 = 528 new members of age class 0 at the end of that year.
Then, the survival rate for those in their third year of living is 0%, hence, none of them make it to the next age class.
So, from this group, after a year, age class 0 has 528 members, and they all die off at the end of that 1 year.
So, we now calculate the number of members of each age class now at the end of that 1 year.
Age class 0 = 528 + 1056 + 528 = 2112 members
Age class 1 = 44 members
Age class 2 = 132 members.
Hope this Helps!!!
