3. 4.You have enough land to grow one tree. The height of your tree (in feet) equals 100 (square root of age of the tree)! The cost of cutting down the tree is $0. The interest rate is 4%, and the price of one foot of the tree is $16. a. What is your optimal cutting strategy? Your goal is to maximize the PDV of profits. b. Ecotourists from Berkeley are willing to pay you $X dollars each year to look at your tree. Write out an equation for X so that you are indifferent between: 1) having the ecotourists visit and 2) harvesting the tree and sacrificing the ecotourism payment.