The table below contains data that are required for some of the following questions. f and f are derived from a logistic growth function, p = 3, c = 1, .and i = 4.5%. f f f/f f/t 13.2% 3.12 10.4% 3.19 8.1% 3.21 6.1% 3.18 4.5% 3.11 3.3% 3.02 2.4% 2.91 1.7% 2.80 1.2% 2.68 0.9% 2.57 0.6% 2.46 0.4% 2.35 0.3% 2.25 0.2% 2.16 0.2% 2.07 0.1% 1.99 V. Irving Fisher derived a rule for the optimal age of harvesting for the case in which there would be no replanting of the trees. A. Derive the Fisher rule from the condition MBw= MCw. B. Applying the Fisher rule to the data in the table, what is the optimal age to harvest the trees? Explain why. C. What rate of interest would result in maximizing the amount of wood? Explain why. D. Calculate what the optimal harvesting age would be if each of the following occurred: 1. A trend in the stumpage price equal to -1.6% per year. 2. A decrease in the interest rate equal to 2.1%. E. How would a one-time downward shift in the stumpage price affect the optimal harvesting age if the present value of the forest land in an alternative use is A dollars