A company is considering to start harvesting salmon in a new region. They model the salmon population size in that region by the equation P'(t) = kP(t) - h, with the natural growth rate of k = 2 salmon per year per population and a harvest rate h salmon per year. The company wants to decide how much salmon to harvest per year. The company estimates that currently there is 1mil salmon in that region. (a) In each of the following four choices of harvest rate, determine what eventually happens to the popu- lation of salmon based on this model. (i)h = 500, 000, (ii)h = 1mil, (iii)h = 2mil, (iv)h = 3mil. (b) Determine the maximal sustainable harvest rate. (This is the maximal h for which the population does not decrease with time). (c) Is it a good idea to harvest salmon at the maximal sustainable rate projected by this model