A forest originally has 10,000 trees. Suppose that the forest naturally replenishes itself by 10 percent per year. That is, at the end of one year, if nothing else happened, it would have 10,000 + (0.10 × 10,000) = 11,000 trees. (This assumption is not biologically accurate, but it keeps the math simple.) Suppose that 1,500 trees are harvested at the end of each year.
a. How many trees will the forest have at the end of one year, after accounting for both natural replenishment and the effects of harvesting?
b. Draw a stock-flow diagram illustrating the change in the forest stock from year 1 to year 2.
c. How many trees will there be at the end of two years?
d. How many trees will there be at the end of three years?
e. For the harvest of trees to be sustainable, what is the largest number of trees that could be harvested each year (starting with the original stock of 10,000 trees)?