Please show work on how to solve the problem attached, thank you

Part B: The forester's problem [5 points] Consider now the forester's problem of choosing the optimal rotation length for a stand of trees located .1: miles from the coast. Suppose a plot of land at distance x from the coast produces a volume of harvestable timber at time T equal to Q(T) = (a + 2:)T + W 7T3. Let pf be the per-unit price of timber harvested from the forest, which is assumed to be constant over time. For simplicity, assume that harvesting costs are equal to zero. A plot of land devoted to forestry incurs a xed cost of D > 0 at the beginning of each rotation {e.g., converting} clearing the land, planting the trees, etc). The forest also provides important non-timber values in the form of carbon sequestration. Assume that the per-period non-timber values of the forest increase with the volume of the forest and are equal to a(t) = (w + :r)e\"'. For the following questions, use the parameter values a = 18, = 1, 7 = 0.01, D = 50, p f = 1, w = 47, and v = 0.01. i) [2.5 points] Suppose that a forester is only interested in the timber value of forested land. Using Excel, find the forester's optimal rotation length T. Do this for different distances away from the coast (i.e., for .r = {0, 1,2, 15}. How does the optimal rotation length change as the distance from the coast (:5) changes? Explain. Plot the NPV of the land devoted to forestry as a function of :1: and include it in the graph you created in Part Aii. Make sure to explain how you found your answer. ii) [2.5 points] Suppose that society value; both timber and non-timber values. How does the optimal rotation length and NPV of forested land for society compare to the forester's optimal rotation length and NPV of forested land? Similar to above, find society's optimal rotation length T for different distances away from the coast (i.e., for :r = {0, 1, 2, ..., 15} using Excel. Plot society's NPV of the land devoted to forestry as a function of x and include it in the graph you created in Part Bi. Make sure to explain how you found your