The questions in parentheses are just background, I need the starred question an

Question

The questions in parentheses are just background, I need the starred question answered. Thank you!

(Question 1 A single breeding pair of rabbits is introduced to Australia in 1900. Assume (for simplicity) that each pair can produce 4 offspring each year (2 male, 2 female). Also assume, that all births happen in the last hour of the last day each year and the parents die immediately after offspring are born.

a) How many rabbits are there after 10 years?

b) How many rabbits are there after 25 years?

If they have 20 offspring each year,

c) How many rabbits are there after 10 years?

d) How many rabbits are there after 25 years?

Question 2 Now, assume that rabbits reach sexual maturity instantly after being born and all can reproduce continuously (generations overlap). If each pair has 4 offspring and both parents die by the end of the year:

a)How many rabbits are there after 10 years?

b)How many rabbits are there after 25 years?)

* Question 3 Now, assume that the carrying capacity of the environment is K=1000. There are 6 offspring, both parents die as before. What is the rabbit population when the growth rate of the rabbits each year is the largest?

Use discrete logistic to answer:

a) How many rabbits are there after 2 years?

b) How many rabbits are there after 3 years?

Explanation / Answer

As per Chegg Policies an expert can answer at most 4 subparts of a given question.

Dear Student Thank you for using Chegg !! Given that in 1900 number of rabbit couples = 1 (1Male & 1 Female) After 1 year number of couples (New Born) = 2 (2 Male & 2 Female)Offsprings since the parents will die After 2 years the number of Couples = 4 (4 Male & 4 Female) Therefore number of rabbit Couples after nth year = 2^n a) Number of rabbits after 10 year = 2 ^10 (Couples) = 2^11 Rabbits = 2048 Solution b) Number of rabbits after 25 year = 2 ^25 (Couples) = 2^26 Rabbits = 67108864 Solution Now if they have 20 offspring each year After 1 year number of couples (New Born) = 10 (10 Male & 10 Female)Offsprings since the parents will die After 2 years the number of Couples = 100 (100 Male & 100 Female) Therefore number of rabbit Couples after nth year = 10^n c) Number of rabbits after 10 year = 10^10 (Couples) = 10^11 Rabbits = 1E+11 Solution d) Number of rabbits after 25 year = 10 ^25 (Couples) = 10^26 Rabbits = 1E+26 Solution

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