2. Assume the price of one cubic meter of timber is $1,500 and it costs $100 to harvest it. Consider a forest where the stock of timber evolves according to V(t)=10t+t--.01+3 where t denotes "years after planting." Assume the cost of replanting trees after harvest is $100,000 and the site value of the land is $1,000,000. The risk-free interest rate equals 30%. a) According to the Wicksell rotation rule should the forest be harvested when t=42? Explain. b) According to the Faustmann rotation rule should the forest be harvested when t=42? Explain. C) In general, how do the Wicksell and Faustmann rule compare to each other? d) Assume now that there are nontimber forest benefits that are valued at $300.000. According to the modified Faustmann rotation rule should the forest be harvested when t=42? e) What could be an unintended consequence, globally, when environmentalists in the US and Canada advocate for longer harvest periods of forests in the US and Canada