11. For any positive integer n, the Hassell model of exponent n (c) [3 marks] Let n, and n; be distinct positive integers. Find all points of intersection RI between the graphs of the Hassell models of exponent m and n2. f(z)=( M>U,R>1 HM)\" describes the size f(I) of a population given the size I 2 0 of the population in the previr ous generation. (The special case 1L = 1 gives the BcvcrtonrHolt model from Assignment 1.) (a) [3 marks] Let n 2 2. Solve the equation f(z) : 1'. (d) [3 marks] Pictured below is a graph of the Beverton-Holt model On the same set of axes, sketch the graph of a Hassell model of exponent n 2 2. (You may assume that the parameters M and R are the same in both models.) (b) [2 marks] Let n 2 2. Find the horizontal asymptote of f( ) y Student number: Student number: (e) [3 marks] The exponent n is sometimes interpreted to indicate the degree to which scarce resources are distributed equally in a population. Based on your answers to previous parts of this question, do you think an exponent of n 2 2 corresponds to more equal or less equal distribution of scarce resources, compared to an exponent of 'n, = 1 (ale. the Beverton-Holt model)? Justify your answer in a few sentences