Calculate the maximum long-term harvest for an alternative model of competition obeying the discrete-time dynamical system

Try the following steps for the given values of the parameters r and k.
a. Find the, equilibrium as a function of h.
b. What is the largest value of h consistent with a positive equilibrium?
c. Find the harvest level that produces the maximum long-term harvest.
d. Sketch a graph of P(h) and compute the value at the maximum.
e. How do the results compare with those using the discrete-time dynamical system in the text?
1. With r = 2.5 and k = 1.
2. With r = 1.5 and k =1.

r N 1+1= 1 + kN,