Part [11. (Total Points: 12) Answer three of the four questions below. Each question is worth 4 points. Background: You are given the following general equation about the relationship between the population size and the growth rate of the fishery off the coast of Zantia: g = rS(1 S/k) where g = the growth rate of the fish population r = the intrinsic growth rate of the fish species in the fishery S = the size of the population of fish k = the carry capacity of the fish habitat in the waters off the coast of Zantia The amount of fish that can be caught in Zantia is given by the following equation: H=qES where H = the amount of fish harvested q = a \"catchability\" coefficient that tells how easy fish can be caught (for Zantia, assume that q has been determined to equal one (q = 1)) E = amount of fishing effort (each unit of fishing effort is equal to one vessel and the crew to man the vessel) Assume for simplicity that fish in Zantia can be sold for a price of $1each and that the total cost of fishing effort is equal to: TC = aE where TC = the total cost of fishing effort a = the marginal cost of fishing effort