X File Edit Vinw History Bookmarks Window -Help 0 0 7 02. Te Mar 1 0 production-gradescope uploads.s3-us-west-2 amazonaws.com Quizzes Problem 5: More Precious Puffins! On our midterm, we developed a discrete-time matrix model for a puffin population (for only the female population with all rates per year), divided into three life stages: chicks (C), juveniles (J), and adults (A). Ji41 =P Jt At+1 Suppose the matrix P has the following (approximate) eigenvectors and their corresponding eigenvalues: 0.9597 0.492 [0.323 0.677 with * = 0.764, and 0.854 with * = 0.964, and 0.141 with A = 1.032 . 0.329 0.654 0.949 A. (4 points) In the long term, do you expect this puffin population to persist or go extinct? How much will its population grow or decline each year? Explain your answers using the information in this problem. Etv Q O RO NO 6 Q W E R T Y U O P O Reply. III O KX Edit View History Bookmarks Window Help 0 production-gradescope-uploads,$3-us-west-2.amazonaws.com C OUuZEN his Submit Final Ex. A https/producti G 201_Pana. Fault B. (4 points) Suppose at some point far in the future, there are 100 puffin adults in the population. How many puffin chicks should we expect? Explain your answer using the information in this problem. C. (2 points) A climate pattern called El Nino causes much less food to be available for puffins, so the parameters in his model must change. Write an expression for the matrix that would represent a sequence of 3 typical years followed by 2 El Nino years followed by 4 typical years. You can represent the matrix for a typical year as P and the matrix for a year with El Nino as E. You do not need to do any calculations for this subproblem. 160 0 F 15 ettv Q O NO 6 8 Q W E R T Y U O D A S D F G H K O Reply. III O K